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| The Nonlinear Initial-Boundary Value Problem and the Existence of Multi-Dimension al Shook Wave for Quasilinear Hyperbolic-Parabolic Coupled Systems |
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Citation： |
Li Dening.The Nonlinear Initial-Boundary Value Problem and the Existence of Multi-Dimension al Shook Wave for Quasilinear Hyperbolic-Parabolic Coupled Systems[J].Chinese Annals of Mathematics B,1987,8(2):252~280 |
| Page view： 966
Net amount： 758 |
Authors： |
Li Dening; |
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| Abstract： |
For the quasilinear hyperbolie-parabolio coupled system, the nonlinear initial-
boundary value problem and the shook wave free boundary problem are considered. By linear iteration, the existence and uniqueness of the local H^m (m\geq [N+1/2]+4) solution are obtained under the assumption that for the fixed boundary problem, the boundary conditions are uniformly Lopatinski well-posed with respect to the hyperbolic and parabolic part, and for the free boundary problem, there exists a linear stable shock front structure. In particular, the local existence of the isothermal shock wave solution for radiative hydrodynamic eqations is proved. |
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