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CONSTRUCTION OF SOLUTIONS TO M-D RIEMANN PROBLEMS FOR A2×2 QUASILINEAR HYPERBOLIC SYSTEM

CONSTRUCTION OF SOLUTIONS TO M-D RIEMANN PROBLEMS FOR A2×2 QUASILINEAR HYPERBOLIC SYSTEM
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摘要 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. 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.
作者 CHEN SHUXING
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1997年第3期345-358,共14页 数学年刊(B辑英文版)
关键词 Riemann problems Quasilinear hyperbolic system Singualrity Riemann problems Quasilinear hyperbolic system Singualrity
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