Similarity solutions of the Euler equation and the Navier-Stokes equation in two space dimensions |
| |
| Authors: | A Grauel W -H Steeb |
| |
| Institution: | (1) Theoretische Physik, Universität Paderborn, D-4790 Paderborn, West Germany;(2) Department of Physics, Rand Afrikaans University, P.O. Box 524, 2000 Johannesburg, Republic of South Africa |
| |
| Abstract: | With the help of the continuous symmetries of the Euler equations and the Navier-Stokes equations, respectively, we derive similarity solutions of these equations for two space dimensions. We show that all group theoretical reductions lead to linear nonautonomous or linear autonomous ordinary differential equations for incompressible fluids. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
