|
|
| |
| EXISTENCE AND NON-EXISTENCE OF GLOBAL SMOOTH SOLUTIONS FOR QUASILINEAR HYPERBOLIC SYSTEMS |
| |
Citation： |
Lin Longwei,Zheng Yongshu.EXISTENCE AND NON-EXISTENCE OF GLOBAL SMOOTH SOLUTIONS FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,1988,9(3):372~377 |
| Page view： 845
Net amount： 955 |
Authors： |
Lin Longwei; Zheng Yongshu |
Foundation： |
Projects Supported by the Science Fund of the Chinese Academy of Sciences and the Science Fund of
Fukien Province. |
|
|
| Abstract： |
Consider initial valueprobiom $\[{v_t} - {u_x} = 0,{u_t} + p{(v)_x} = 0,(E),v(x,0) = {v_0}(x),u(x,0) = {u_0}(x),(I)\]$, where $\[A \ge 0,p(v) = {K^2}{v^{ - \gamma }},K > 0,0 < \gamma < 3.\]$. As $\[0 < \gamma \le 1\]$, the authors give a sufficient condition for that $\[(E)\]$, (I) to have a unique global smooth solution. As $\[1 \le \gamma < 3\]$, a necessary condition is given for that. |
Keywords： |
|
Classification： |
|
|
|
Download PDF Full-Text
|
|
|
|
