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| CONSTRUCTION OF SOLUTIONS TO M-D RIEMANN PROBLEMSFOR A 2*2 QUASILINEAR HYPERBOLIC SYSTEM |
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Citation： |
Chen Shuxing.CONSTRUCTION OF SOLUTIONS TO M-D RIEMANN PROBLEMSFOR A 2*2 QUASILINEAR HYPERBOLIC SYSTEM[J].Chinese Annals of Mathematics B,1997,18(3):345~358 |
| Page view： 1285
Net amount： 747 |
Authors： |
Chen Shuxing; |
Foundation： |
Project supported by the National Natural Science Foundation of China, the Doctoral Program Foundation of the State Education Commission of China and ICTP |
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| Abstract： |
The author studies M-D Riemann problems
for a quasilinear nonstrictly hyperbolic system. The initial
data are taken as three different constants in three sections
divided by three rays starting from the origin. From each
direction of these rays two waves coming from infinity are
allowed. All possible local singularity structures are
carefully studied and classified. Then based on such analysis,
existence and global singularity structure of the solution are
obtained under some assumptions. |
Keywords： |
Riemann problems, Quasilinear hyperbolic system, Singualrity |
Classification： |
35L60, 35L67 |
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