About some classes of the solutions of gas dynamics equations
P. A. Velmisov1, J. A. Kazakova2
| Annotation | The solutions of the type <<traveling wave>> [1] are constructed for differential equations in gas dynamics. The method is proposed to obtain solutions of this type without the use of the method of differential relations, requiring the analyze of the compatibility of overdetermined systems [4-6]. For example the solutions of simple and dual waves are constructed. |
|---|---|
| Keywords | partial differential equations, gas dynamics equations, traveling waves, simple waves, dual waves. |
1 Head of Higher Mathematics Chair, Ulyanovsk State Technical University, Ulyanovsk; velmisov@ulstu.ru.
2Postgraduate student of Higher Mathematics Chair, Ulyanovsk State Technical University, Ulyanovsk; kazakovaua@mail.ru
Citation: P. A. Velmisov, J. A. Kazakova, "[About some classes of the solutions of gas dynamics equations]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:4 (2011) 14–24 (In Russian)
