Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit
Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ wea...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Constantin, Peter [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of nonlinear science - New York, NY : Springer, 1991, 28(2017), 2 vom: 08. Nov., Seite 711-724 |
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| Übergeordnetes Werk: |
volume:28 ; year:2017 ; number:2 ; day:08 ; month:11 ; pages:711-724 |
| Links: |
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| DOI / URN: |
10.1007/s00332-017-9424-z |
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| Katalog-ID: |
SPR004071956 |
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| 245 | 1 | 0 | |a Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit |
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| 520 | |a Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. | ||
| 650 | 4 | |a Euler equations |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Navier–Stokes equations |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Inviscid limit |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Energy dissipation |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Vicol, Vlad |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of nonlinear science |d New York, NY : Springer, 1991 |g 28(2017), 2 vom: 08. Nov., Seite 711-724 |w (DE-627)268761736 |w (DE-600)1473165-4 |x 1432-1467 |7 nnns |
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10.1007/s00332-017-9424-z doi (DE-627)SPR004071956 (SPR)s00332-017-9424-z-e DE-627 ger DE-627 rakwb eng Constantin, Peter verfasserin (orcid)0000-0002-3934-7146 aut Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC 2017 Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. Euler equations (dpeaa)DE-He213 Navier–Stokes equations (dpeaa)DE-He213 Inviscid limit (dpeaa)DE-He213 Energy dissipation (dpeaa)DE-He213 Vicol, Vlad aut Enthalten in Journal of nonlinear science New York, NY : Springer, 1991 28(2017), 2 vom: 08. Nov., Seite 711-724 (DE-627)268761736 (DE-600)1473165-4 1432-1467 nnns volume:28 year:2017 number:2 day:08 month:11 pages:711-724 https://dx.doi.org/10.1007/s00332-017-9424-z 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_101 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_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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2017 2 08 11 711-724 |
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10.1007/s00332-017-9424-z doi (DE-627)SPR004071956 (SPR)s00332-017-9424-z-e DE-627 ger DE-627 rakwb eng Constantin, Peter verfasserin (orcid)0000-0002-3934-7146 aut Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC 2017 Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. Euler equations (dpeaa)DE-He213 Navier–Stokes equations (dpeaa)DE-He213 Inviscid limit (dpeaa)DE-He213 Energy dissipation (dpeaa)DE-He213 Vicol, Vlad aut Enthalten in Journal of nonlinear science New York, NY : Springer, 1991 28(2017), 2 vom: 08. Nov., Seite 711-724 (DE-627)268761736 (DE-600)1473165-4 1432-1467 nnns volume:28 year:2017 number:2 day:08 month:11 pages:711-724 https://dx.doi.org/10.1007/s00332-017-9424-z 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_101 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_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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2017 2 08 11 711-724 |
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10.1007/s00332-017-9424-z doi (DE-627)SPR004071956 (SPR)s00332-017-9424-z-e DE-627 ger DE-627 rakwb eng Constantin, Peter verfasserin (orcid)0000-0002-3934-7146 aut Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC 2017 Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. Euler equations (dpeaa)DE-He213 Navier–Stokes equations (dpeaa)DE-He213 Inviscid limit (dpeaa)DE-He213 Energy dissipation (dpeaa)DE-He213 Vicol, Vlad aut Enthalten in Journal of nonlinear science New York, NY : Springer, 1991 28(2017), 2 vom: 08. Nov., Seite 711-724 (DE-627)268761736 (DE-600)1473165-4 1432-1467 nnns volume:28 year:2017 number:2 day:08 month:11 pages:711-724 https://dx.doi.org/10.1007/s00332-017-9424-z 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_101 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_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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2017 2 08 11 711-724 |
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10.1007/s00332-017-9424-z doi (DE-627)SPR004071956 (SPR)s00332-017-9424-z-e DE-627 ger DE-627 rakwb eng Constantin, Peter verfasserin (orcid)0000-0002-3934-7146 aut Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC 2017 Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. Euler equations (dpeaa)DE-He213 Navier–Stokes equations (dpeaa)DE-He213 Inviscid limit (dpeaa)DE-He213 Energy dissipation (dpeaa)DE-He213 Vicol, Vlad aut Enthalten in Journal of nonlinear science New York, NY : Springer, 1991 28(2017), 2 vom: 08. Nov., Seite 711-724 (DE-627)268761736 (DE-600)1473165-4 1432-1467 nnns volume:28 year:2017 number:2 day:08 month:11 pages:711-724 https://dx.doi.org/10.1007/s00332-017-9424-z 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_101 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_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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2017 2 08 11 711-724 |
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10.1007/s00332-017-9424-z doi (DE-627)SPR004071956 (SPR)s00332-017-9424-z-e DE-627 ger DE-627 rakwb eng Constantin, Peter verfasserin (orcid)0000-0002-3934-7146 aut Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Science+Business Media, LLC 2017 Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. Euler equations (dpeaa)DE-He213 Navier–Stokes equations (dpeaa)DE-He213 Inviscid limit (dpeaa)DE-He213 Energy dissipation (dpeaa)DE-He213 Vicol, Vlad aut Enthalten in Journal of nonlinear science New York, NY : Springer, 1991 28(2017), 2 vom: 08. Nov., Seite 711-724 (DE-627)268761736 (DE-600)1473165-4 1432-1467 nnns volume:28 year:2017 number:2 day:08 month:11 pages:711-724 https://dx.doi.org/10.1007/s00332-017-9424-z 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_101 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_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_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 28 2017 2 08 11 711-724 |
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Constantin, Peter |
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Constantin, Peter misc Euler equations misc Navier–Stokes equations misc Inviscid limit misc Energy dissipation Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit |
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Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit Euler equations (dpeaa)DE-He213 Navier–Stokes equations (dpeaa)DE-He213 Inviscid limit (dpeaa)DE-He213 Energy dissipation (dpeaa)DE-He213 |
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Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit |
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remarks on high reynolds numbers hydrodynamics and the inviscid limit |
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Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit |
| abstract |
Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. © Springer Science+Business Media, LLC 2017 |
| abstractGer |
Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. © Springer Science+Business Media, LLC 2017 |
| abstract_unstemmed |
Abstract We prove that any weak space-time %$L^2%$ vanishing viscosity limit of a sequence of strong solutions of Navier–Stokes equations in a bounded domain of %${\mathbb R}^2%$ satisfies the Euler equation if the solutions’ local enstrophies are uniformly bounded. We also prove that %$t-a.e.%$ weak %$L^2%$ inviscid limits of solutions of 3D Navier–Stokes equations in bounded domains are weak solutions of the Euler equation if they locally satisfy a scaling property of their second-order structure function. The conditions imposed are far away from boundaries, and wild solutions of Euler equations are not a priori excluded in the limit. © Springer Science+Business Media, LLC 2017 |
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Remarks on High Reynolds Numbers Hydrodynamics and the Inviscid Limit |
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https://dx.doi.org/10.1007/s00332-017-9424-z |
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Vicol, Vlad |
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| doi_str |
10.1007/s00332-017-9424-z |
| up_date |
2024-07-03T23:28:01.458Z |
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