Shallow-water conservation laws
Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parame...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ostapenko, V. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Doklady physics - Pleiades Publishing, 1998, 60(2015), 10 vom: Okt., Seite 461-464 |
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| Übergeordnetes Werk: |
volume:60 ; year:2015 ; number:10 ; month:10 ; pages:461-464 |
| Links: |
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| DOI / URN: |
10.1134/S1028335815100055 |
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OLC2040661077 |
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| 520 | |a Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. | ||
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10.1134/S1028335815100055 doi (DE-627)OLC2040661077 (DE-He213)S1028335815100055-p DE-627 ger DE-627 rakwb eng 530 VZ Ostapenko, V. V. verfasserin aut Shallow-water conservation laws 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. Total Momentum Wave Flow Shallow Water Model Transient Region Shallow Water Theory Enthalten in Doklady physics Pleiades Publishing, 1998 60(2015), 10 vom: Okt., Seite 461-464 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:60 year:2015 number:10 month:10 pages:461-464 https://doi.org/10.1134/S1028335815100055 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2015 10 10 461-464 |
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10.1134/S1028335815100055 doi (DE-627)OLC2040661077 (DE-He213)S1028335815100055-p DE-627 ger DE-627 rakwb eng 530 VZ Ostapenko, V. V. verfasserin aut Shallow-water conservation laws 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. Total Momentum Wave Flow Shallow Water Model Transient Region Shallow Water Theory Enthalten in Doklady physics Pleiades Publishing, 1998 60(2015), 10 vom: Okt., Seite 461-464 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:60 year:2015 number:10 month:10 pages:461-464 https://doi.org/10.1134/S1028335815100055 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2015 10 10 461-464 |
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10.1134/S1028335815100055 doi (DE-627)OLC2040661077 (DE-He213)S1028335815100055-p DE-627 ger DE-627 rakwb eng 530 VZ Ostapenko, V. V. verfasserin aut Shallow-water conservation laws 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. Total Momentum Wave Flow Shallow Water Model Transient Region Shallow Water Theory Enthalten in Doklady physics Pleiades Publishing, 1998 60(2015), 10 vom: Okt., Seite 461-464 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:60 year:2015 number:10 month:10 pages:461-464 https://doi.org/10.1134/S1028335815100055 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2015 10 10 461-464 |
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10.1134/S1028335815100055 doi (DE-627)OLC2040661077 (DE-He213)S1028335815100055-p DE-627 ger DE-627 rakwb eng 530 VZ Ostapenko, V. V. verfasserin aut Shallow-water conservation laws 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. Total Momentum Wave Flow Shallow Water Model Transient Region Shallow Water Theory Enthalten in Doklady physics Pleiades Publishing, 1998 60(2015), 10 vom: Okt., Seite 461-464 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:60 year:2015 number:10 month:10 pages:461-464 https://doi.org/10.1134/S1028335815100055 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2015 10 10 461-464 |
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10.1134/S1028335815100055 doi (DE-627)OLC2040661077 (DE-He213)S1028335815100055-p DE-627 ger DE-627 rakwb eng 530 VZ Ostapenko, V. V. verfasserin aut Shallow-water conservation laws 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2015 Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. Total Momentum Wave Flow Shallow Water Model Transient Region Shallow Water Theory Enthalten in Doklady physics Pleiades Publishing, 1998 60(2015), 10 vom: Okt., Seite 461-464 (DE-627)241206545 (DE-600)1418838-7 (DE-576)064883841 1028-3358 nnns volume:60 year:2015 number:10 month:10 pages:461-464 https://doi.org/10.1134/S1028335815100055 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 AR 60 2015 10 10 461-464 |
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Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. © Pleiades Publishing, Ltd. 2015 |
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Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. © Pleiades Publishing, Ltd. 2015 |
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Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation. © Pleiades Publishing, Ltd. 2015 |
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V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Shallow-water conservation laws</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2015</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The derivation of basic conservation laws in the shallow-water theory from the multidimensional integral laws of conservation of mass and total momentum describing the plane-parallel flow of an ideal incompressible fluid above a horizontal bottom is proposed. The restrictions on flow parameters arising in this case have the integral form and are much weaker in comparison with the requirement of flow potentiality and the condition of long-wavelength approximation. The last fact substantiates the use of the shallow-water model for the mathematical modeling of a much wider class of wave flows, the parameters of which are not related directly to the restrictions of the long-wavelength approximation.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Total Momentum</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wave Flow</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shallow Water Model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Transient Region</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shallow Water Theory</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Doklady physics</subfield><subfield code="d">Pleiades Publishing, 1998</subfield><subfield code="g">60(2015), 10 vom: Okt., Seite 461-464</subfield><subfield code="w">(DE-627)241206545</subfield><subfield code="w">(DE-600)1418838-7</subfield><subfield code="w">(DE-576)064883841</subfield><subfield code="x">1028-3358</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:60</subfield><subfield code="g">year:2015</subfield><subfield code="g">number:10</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:461-464</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S1028335815100055</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">60</subfield><subfield code="j">2015</subfield><subfield code="e">10</subfield><subfield code="c">10</subfield><subfield code="h">461-464</subfield></datafield></record></collection>
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