|
|
| |
| Initial Boundary Value Problems for Quasilinear Hyperbolio-Parabolio Ooupled Systems in Higher Dimensional Spaces |
| |
Citation： |
Zheng Songmu.Initial Boundary Value Problems for Quasilinear Hyperbolio-Parabolio Ooupled Systems in Higher Dimensional Spaces[J].Chinese Annals of Mathematics B,1983,4(4):443~462 |
| Page view： 1066
Net amount： 690 |
Authors： |
Zheng Songmu; |
|
|
| Abstract： |
The initial bounary value problem for quasilinear byperbolie-parabolic coupled systems in higher dimensional spaces, which arises in many mechanical problerns is considered. Under the assumptions that the-hyperbolic part of the coupled system is a quasilinear symmetric hyperbolic system and the parabolic part is a quasilinear parabolic system of second order and suitable assumptions of smoothness and compatibiliy conditions, the existence and uniqueness of local smooth solution is proved in the cases that the boundary of domain is noncharacteristic or uniformly characteristic with respect to the hyperbolic part.
As an application, the existence and uniqueness of local smooth solution for the initial boundary problem of the radiation hydrodynamic system, as well as of the viscous compressible hydrodynamic system, with solid wal1 boundary, is obtained. |
Keywords： |
|
Classification： |
|
|
|
Download PDF Full-Text
|
|
|
|
