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The Riemann problem for nonlinear degenerate wave equations |
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| Authors: | Wen-hua Sun Wan-cheng Sheng |
| Affiliation: | 1. School of Mathematics and Information Sciences, Shandong University of Technology,Zibo 255049, Shandong Province, P. R. China 2. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
| Abstract: | This paper studies the Riemann problem for a system of nonlinear degenerate wave equations in elasticity. Since the stress function is neither convex nor concave, the shock condition is degenerate. By introducing a degenerate shock under the generalized shock condition, the global solutions are constructively obtained case by case. |
| Keywords: | degenerate wave equations Riemann problem rarefaction wave shock wave degenerate shock |
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