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The Riemann problem for nonlinear degenerate wave equations

The Riemann problem for nonlinear degenerate wave equations
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摘要 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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第6期665-674,共10页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China(No.10971130) the Shanghai Leading Academic Dissipline Project(No.J50101)
关键词 degenerate wave equations Riemann problem rarefaction wave shock wave degenerate shock degenerate wave equations, Riemann problem, rarefaction wave, shock wave, degenerate shock
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