On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve
Abstract: The plane auto model problem of the in viscid gas motion beyond intensive shock wave is studied. It is supposed, that shock wave front approaches some curve, the form of which is known. Solution is constructed in the form of series on the small parameter degrees. This parameter characteriz...
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| Format: | Article |
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Samara State Technical University
2009-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu607 |
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doaj-13de147648cf44f99298652ce31c55fb2020-11-24T21:43:31ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812009-03-011(18)182510.14498/vsgtu607On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain CurveV. I. BogatkoG. A. KoltonE. A. PotekhinaAbstract: The plane auto model problem of the in viscid gas motion beyond intensive shock wave is studied. It is supposed, that shock wave front approaches some curve, the form of which is known. Solution is constructed in the form of series on the small parameter degrees. This parameter characterizes the relation of gas densities at shock wave front. Certain cases are studied as examples: when intensive shock wave front form is closely approximated to the straight line or to the circle. Solution of the problem is reduced to the Euler–Darboux equation integration.http://mi.mathnet.ru/eng/vsgtu607 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
V. I. Bogatko G. A. Kolton E. A. Potekhina |
| spellingShingle |
V. I. Bogatko G. A. Kolton E. A. Potekhina On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| author_facet |
V. I. Bogatko G. A. Kolton E. A. Potekhina |
| author_sort |
V. I. Bogatko |
| title |
On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve |
| title_short |
On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve |
| title_full |
On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve |
| title_fullStr |
On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve |
| title_full_unstemmed |
On Gas Flow Beyond Strong Shock Wave Front, Form of Which Approaches a Certain Curve |
| title_sort |
on gas flow beyond strong shock wave front, form of which approaches a certain curve |
| publisher |
Samara State Technical University |
| series |
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| issn |
1991-8615 2310-7081 |
| publishDate |
2009-03-01 |
| description |
Abstract: The plane auto model problem of the in viscid gas motion beyond intensive shock wave is studied. It is supposed, that shock wave front approaches some curve, the form of which is known. Solution is constructed in the form of series on the small parameter degrees. This parameter characterizes the relation of gas densities at shock wave front. Certain cases are studied as examples: when intensive shock wave front form is closely approximated to the straight line or to the circle. Solution of the problem is reduced to the Euler–Darboux equation integration. |
| url |
http://mi.mathnet.ru/eng/vsgtu607 |
| work_keys_str_mv |
AT vibogatko ongasflowbeyondstrongshockwavefrontformofwhichapproachesacertaincurve AT gakolton ongasflowbeyondstrongshockwavefrontformofwhichapproachesacertaincurve AT eapotekhina ongasflowbeyondstrongshockwavefrontformofwhichapproachesacertaincurve |
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1725913604684775424 |