A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line
Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Fontelos, Marco A. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2008 |
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| Schlagwörter: |
mixed type boundary conditions |
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| Anmerkung: |
© Birkhaueser 2008 |
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| Übergeordnetes Werk: |
Enthalten in: Pure and applied geophysics - Basel : Birkhäuser, 1939, 165(2008), 8 vom: Aug., Seite 1603-1618 |
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| Übergeordnetes Werk: |
volume:165 ; year:2008 ; number:8 ; month:08 ; pages:1603-1618 |
| Links: |
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| DOI / URN: |
10.1007/s00024-004-0391-6 |
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| Katalog-ID: |
SPR00022636X |
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| 100 | 1 | |a Fontelos, Marco A. |e verfasserin |4 aut | |
| 245 | 1 | 2 | |a A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line |
| 264 | 1 | |c 2008 | |
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| 520 | |a Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. | ||
| 650 | 4 | |a Free boundary problem |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a glaciology |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Stokes’ flow problem |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Non-Newtonian fluid |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a mixed type boundary conditions |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a convex analysis |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a existence and uniqueness of weak solutions |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a numerical resolution |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Muñoz, Ana I. |4 aut | |
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10.1007/s00024-004-0391-6 doi (DE-627)SPR00022636X (SPR)s00024-004-0391-6-e DE-627 ger DE-627 rakwb eng Fontelos, Marco A. verfasserin aut A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhaueser 2008 Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. Free boundary problem (dpeaa)DE-He213 glaciology (dpeaa)DE-He213 Stokes’ flow problem (dpeaa)DE-He213 Non-Newtonian fluid (dpeaa)DE-He213 mixed type boundary conditions (dpeaa)DE-He213 convex analysis (dpeaa)DE-He213 existence and uniqueness of weak solutions (dpeaa)DE-He213 numerical resolution (dpeaa)DE-He213 Muñoz, Ana I. aut Enthalten in Pure and applied geophysics Basel : Birkhäuser, 1939 165(2008), 8 vom: Aug., Seite 1603-1618 (DE-627)265506743 (DE-600)1464028-4 1420-9136 nnns volume:165 year:2008 number:8 month:08 pages:1603-1618 https://dx.doi.org/10.1007/s00024-004-0391-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 165 2008 8 08 1603-1618 |
| spelling |
10.1007/s00024-004-0391-6 doi (DE-627)SPR00022636X (SPR)s00024-004-0391-6-e DE-627 ger DE-627 rakwb eng Fontelos, Marco A. verfasserin aut A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhaueser 2008 Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. Free boundary problem (dpeaa)DE-He213 glaciology (dpeaa)DE-He213 Stokes’ flow problem (dpeaa)DE-He213 Non-Newtonian fluid (dpeaa)DE-He213 mixed type boundary conditions (dpeaa)DE-He213 convex analysis (dpeaa)DE-He213 existence and uniqueness of weak solutions (dpeaa)DE-He213 numerical resolution (dpeaa)DE-He213 Muñoz, Ana I. aut Enthalten in Pure and applied geophysics Basel : Birkhäuser, 1939 165(2008), 8 vom: Aug., Seite 1603-1618 (DE-627)265506743 (DE-600)1464028-4 1420-9136 nnns volume:165 year:2008 number:8 month:08 pages:1603-1618 https://dx.doi.org/10.1007/s00024-004-0391-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 165 2008 8 08 1603-1618 |
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10.1007/s00024-004-0391-6 doi (DE-627)SPR00022636X (SPR)s00024-004-0391-6-e DE-627 ger DE-627 rakwb eng Fontelos, Marco A. verfasserin aut A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhaueser 2008 Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. Free boundary problem (dpeaa)DE-He213 glaciology (dpeaa)DE-He213 Stokes’ flow problem (dpeaa)DE-He213 Non-Newtonian fluid (dpeaa)DE-He213 mixed type boundary conditions (dpeaa)DE-He213 convex analysis (dpeaa)DE-He213 existence and uniqueness of weak solutions (dpeaa)DE-He213 numerical resolution (dpeaa)DE-He213 Muñoz, Ana I. aut Enthalten in Pure and applied geophysics Basel : Birkhäuser, 1939 165(2008), 8 vom: Aug., Seite 1603-1618 (DE-627)265506743 (DE-600)1464028-4 1420-9136 nnns volume:165 year:2008 number:8 month:08 pages:1603-1618 https://dx.doi.org/10.1007/s00024-004-0391-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 165 2008 8 08 1603-1618 |
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10.1007/s00024-004-0391-6 doi (DE-627)SPR00022636X (SPR)s00024-004-0391-6-e DE-627 ger DE-627 rakwb eng Fontelos, Marco A. verfasserin aut A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhaueser 2008 Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. Free boundary problem (dpeaa)DE-He213 glaciology (dpeaa)DE-He213 Stokes’ flow problem (dpeaa)DE-He213 Non-Newtonian fluid (dpeaa)DE-He213 mixed type boundary conditions (dpeaa)DE-He213 convex analysis (dpeaa)DE-He213 existence and uniqueness of weak solutions (dpeaa)DE-He213 numerical resolution (dpeaa)DE-He213 Muñoz, Ana I. aut Enthalten in Pure and applied geophysics Basel : Birkhäuser, 1939 165(2008), 8 vom: Aug., Seite 1603-1618 (DE-627)265506743 (DE-600)1464028-4 1420-9136 nnns volume:165 year:2008 number:8 month:08 pages:1603-1618 https://dx.doi.org/10.1007/s00024-004-0391-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 165 2008 8 08 1603-1618 |
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10.1007/s00024-004-0391-6 doi (DE-627)SPR00022636X (SPR)s00024-004-0391-6-e DE-627 ger DE-627 rakwb eng Fontelos, Marco A. verfasserin aut A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Birkhaueser 2008 Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. Free boundary problem (dpeaa)DE-He213 glaciology (dpeaa)DE-He213 Stokes’ flow problem (dpeaa)DE-He213 Non-Newtonian fluid (dpeaa)DE-He213 mixed type boundary conditions (dpeaa)DE-He213 convex analysis (dpeaa)DE-He213 existence and uniqueness of weak solutions (dpeaa)DE-He213 numerical resolution (dpeaa)DE-He213 Muñoz, Ana I. aut Enthalten in Pure and applied geophysics Basel : Birkhäuser, 1939 165(2008), 8 vom: Aug., Seite 1603-1618 (DE-627)265506743 (DE-600)1464028-4 1420-9136 nnns volume:165 year:2008 number:8 month:08 pages:1603-1618 https://dx.doi.org/10.1007/s00024-004-0391-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_381 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 165 2008 8 08 1603-1618 |
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Enthalten in Pure and applied geophysics 165(2008), 8 vom: Aug., Seite 1603-1618 volume:165 year:2008 number:8 month:08 pages:1603-1618 |
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Free boundary problem glaciology Stokes’ flow problem Non-Newtonian fluid mixed type boundary conditions convex analysis existence and uniqueness of weak solutions numerical resolution |
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Fontelos, Marco A. @@aut@@ Muñoz, Ana I. @@aut@@ |
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Fontelos, Marco A. |
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Fontelos, Marco A. misc Free boundary problem misc glaciology misc Stokes’ flow problem misc Non-Newtonian fluid misc mixed type boundary conditions misc convex analysis misc existence and uniqueness of weak solutions misc numerical resolution A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line |
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A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line Free boundary problem (dpeaa)DE-He213 glaciology (dpeaa)DE-He213 Stokes’ flow problem (dpeaa)DE-He213 Non-Newtonian fluid (dpeaa)DE-He213 mixed type boundary conditions (dpeaa)DE-He213 convex analysis (dpeaa)DE-He213 existence and uniqueness of weak solutions (dpeaa)DE-He213 numerical resolution (dpeaa)DE-He213 |
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misc Free boundary problem misc glaciology misc Stokes’ flow problem misc Non-Newtonian fluid misc mixed type boundary conditions misc convex analysis misc existence and uniqueness of weak solutions misc numerical resolution |
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A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line |
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A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line |
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Fontelos, Marco A. |
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10.1007/s00024-004-0391-6 |
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mathematical study of the ice flow behavior in a neighborhood of the grounding line |
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A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line |
| abstract |
Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. © Birkhaueser 2008 |
| abstractGer |
Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. © Birkhaueser 2008 |
| abstract_unstemmed |
Abstract The description of the ice flow in marine ice sheets is one of the problems that has attracted more attention in the Scientific community interested in the motion of glaciers. It is widely assumed that the stability of the marine ice sheets, as in the West Antarctic Ice Sheet (WAIS), where ice shelves are formed, is mainly controlled by the dynamics of the grounding line. The grounding line is the line where transition between ice attached to the solid ground and ice floating over the sea takes place. In this paper, we present the analysis of a mathematical model describing the behavior of the ice flow in the neighborhood of the grounding line, when considering the ice to be a fluid with shear-dependent viscosity of power-law type, including, as a particular case, the Newtonian one. We prove the existence of solutions representing the transition from ice sheet to ice shelf and with finite viscous dissipation near the grounding line. The interface between the ice shelf and sea water is proved to be locally flat near the grounding line. © Birkhaueser 2008 |
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A Mathematical Study of the Ice Flow Behavior in a Neighborhood of the Grounding Line |
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https://dx.doi.org/10.1007/s00024-004-0391-6 |
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Muñoz, Ana I. |
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10.1007/s00024-004-0391-6 |
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| score |
7.3985205 |