Global classical solutions of mixed initial-boundary value problem for quasilinear hyperbolic systems |
| |
Authors: | Yi Zhou |
| |
Institution: | a School of Mathematical Sciences, Fudan University, Shanghai 200433, China b Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, Jiangsu, China |
| |
Abstract: | In this paper, we consider the mixed initial-boundary value problem for quasilinear hyperbolic systems with nonlinear boundary conditions in the first quadrant . Under the assumptions that the system is strictly hyperbolic and linearly degenerate or weakly linearly degenerate, the global existence and uniqueness of C1 solutions are obtained for small initial and boundary data. We also present two applications for physical models. |
| |
Keywords: | 35L50 35Q72 74K05 |
本文献已被 ScienceDirect 等数据库收录! |
|