On a nonlinear initial-boundary value problem in the aerohydrodynamics
P. A. Velmisov1, A. V. Krupennikov2
| Annotation | In this paper we study irrotational isentropic flows of an ideal gas which are described by nonlinear partial differential equation for the velocity potential. To this equation it is given the solution set used for describing gas flows between rotating planes. The exact solution to the investigated problem is found in case of several definite laws of plane motion. On arbitrary laws of plane motion it is given the Bubnov-Galerkin method for numerical solution. |
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| Keywords | nonlinear initial-boundary value problem, aerohydrodynamics, velocity potential, rotating planes, partial differential equation, the Bubnov-Galerkin method. |
1Head of the High Mathematics Department, Ulyanovsk State Technical University, Ulyanovsk; velmisov@ulstu.ru.
2Postgraduate of the High Mathematics Department, Ulyanovsk State Technical University, Ulyanovsk; al.krupennikov@mail.ru.
Citation: P. A. Velmisov, A. V. Krupennikov, "[On a nonlinear initial-boundary value problem in the aerohydrodynamics]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 79–84 (In Russian)
