Partially invariant solutions in gas dynamics and implicit equations
Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first...
Ausführliche Beschreibung
Autor*in: |
Barlukova, A. M. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2012 |
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Schlagwörter: |
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Anmerkung: |
© Pleiades Publishing, Ltd. 2012 |
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Übergeordnetes Werk: |
Enthalten in: Journal of applied mechanics and technical physics - SP MAIK Nauka/Interperiodica, 1966, 53(2012), 6 vom: Nov., Seite 812-824 |
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Übergeordnetes Werk: |
volume:53 ; year:2012 ; number:6 ; month:11 ; pages:812-824 |
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DOI / URN: |
10.1134/S0021894412060028 |
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Katalog-ID: |
OLC2034440862 |
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520 | |a Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. | ||
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10.1134/S0021894412060028 doi (DE-627)OLC2034440862 (DE-He213)S0021894412060028-p DE-627 ger DE-627 rakwb eng 530 VZ Barlukova, A. M. verfasserin aut Partially invariant solutions in gas dynamics and implicit equations 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. partially invariant solution implicit equations irregular singular points subsonic and supersonic gas motions transformations of irregular singular points Chupakhin, A. P. aut Enthalten in Journal of applied mechanics and technical physics SP MAIK Nauka/Interperiodica, 1966 53(2012), 6 vom: Nov., Seite 812-824 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:53 year:2012 number:6 month:11 pages:812-824 https://doi.org/10.1134/S0021894412060028 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 AR 53 2012 6 11 812-824 |
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10.1134/S0021894412060028 doi (DE-627)OLC2034440862 (DE-He213)S0021894412060028-p DE-627 ger DE-627 rakwb eng 530 VZ Barlukova, A. M. verfasserin aut Partially invariant solutions in gas dynamics and implicit equations 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. partially invariant solution implicit equations irregular singular points subsonic and supersonic gas motions transformations of irregular singular points Chupakhin, A. P. aut Enthalten in Journal of applied mechanics and technical physics SP MAIK Nauka/Interperiodica, 1966 53(2012), 6 vom: Nov., Seite 812-824 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:53 year:2012 number:6 month:11 pages:812-824 https://doi.org/10.1134/S0021894412060028 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 AR 53 2012 6 11 812-824 |
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10.1134/S0021894412060028 doi (DE-627)OLC2034440862 (DE-He213)S0021894412060028-p DE-627 ger DE-627 rakwb eng 530 VZ Barlukova, A. M. verfasserin aut Partially invariant solutions in gas dynamics and implicit equations 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. partially invariant solution implicit equations irregular singular points subsonic and supersonic gas motions transformations of irregular singular points Chupakhin, A. P. aut Enthalten in Journal of applied mechanics and technical physics SP MAIK Nauka/Interperiodica, 1966 53(2012), 6 vom: Nov., Seite 812-824 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:53 year:2012 number:6 month:11 pages:812-824 https://doi.org/10.1134/S0021894412060028 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 AR 53 2012 6 11 812-824 |
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10.1134/S0021894412060028 doi (DE-627)OLC2034440862 (DE-He213)S0021894412060028-p DE-627 ger DE-627 rakwb eng 530 VZ Barlukova, A. M. verfasserin aut Partially invariant solutions in gas dynamics and implicit equations 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. partially invariant solution implicit equations irregular singular points subsonic and supersonic gas motions transformations of irregular singular points Chupakhin, A. P. aut Enthalten in Journal of applied mechanics and technical physics SP MAIK Nauka/Interperiodica, 1966 53(2012), 6 vom: Nov., Seite 812-824 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:53 year:2012 number:6 month:11 pages:812-824 https://doi.org/10.1134/S0021894412060028 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 AR 53 2012 6 11 812-824 |
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10.1134/S0021894412060028 doi (DE-627)OLC2034440862 (DE-He213)S0021894412060028-p DE-627 ger DE-627 rakwb eng 530 VZ Barlukova, A. M. verfasserin aut Partially invariant solutions in gas dynamics and implicit equations 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2012 Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. partially invariant solution implicit equations irregular singular points subsonic and supersonic gas motions transformations of irregular singular points Chupakhin, A. P. aut Enthalten in Journal of applied mechanics and technical physics SP MAIK Nauka/Interperiodica, 1966 53(2012), 6 vom: Nov., Seite 812-824 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:53 year:2012 number:6 month:11 pages:812-824 https://doi.org/10.1134/S0021894412060028 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 AR 53 2012 6 11 812-824 |
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Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. © Pleiades Publishing, Ltd. 2012 |
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Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. © Pleiades Publishing, Ltd. 2012 |
abstract_unstemmed |
Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible. © Pleiades Publishing, Ltd. 2012 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2034440862</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503105106.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2012 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S0021894412060028</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2034440862</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)S0021894412060028-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Barlukova, A. M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Partially invariant solutions in gas dynamics and implicit equations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</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. 2012</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper studies a nonbarochronic, regular, partially invariant solution (submodel) of rank one and defect two to the equations of gas dynamics which describes spatial unsteady gas motion. The equations of gas dynamics are reduced to an implicit ordinary differential equation of the first order for an auxiliary function and to an integrable system. A complete classification of the irregular singular points of the key equation according to a parameter characterizing the gas flow is given, and transformations of the irregular singular points with variation in the parameter are obtained. Qualitative properties of the solution are investigated and physically interpreted in terms of gas motion. It is shown that there are two modes of motion, one of which is supersonic, and in the second modes, a continuous transition through the speed of sound is possible.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">partially invariant solution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">implicit equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">irregular singular points</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">subsonic and supersonic gas motions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">transformations of irregular singular points</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chupakhin, A. P.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of applied mechanics and technical physics</subfield><subfield code="d">SP MAIK Nauka/Interperiodica, 1966</subfield><subfield code="g">53(2012), 6 vom: Nov., Seite 812-824</subfield><subfield code="w">(DE-627)129600946</subfield><subfield code="w">(DE-600)241350-4</subfield><subfield code="w">(DE-576)015094545</subfield><subfield code="x">0021-8944</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:53</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:6</subfield><subfield code="g">month:11</subfield><subfield code="g">pages:812-824</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1134/S0021894412060028</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-TEC</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_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</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">53</subfield><subfield code="j">2012</subfield><subfield code="e">6</subfield><subfield code="c">11</subfield><subfield code="h">812-824</subfield></datafield></record></collection>
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