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The Riemann problem for nonlinear degenerate wave equations

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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.

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Correspondence to Wan-cheng Sheng  (盛万成).

Additional information

Communicated by Xing-ming GUO

Project supported by the National Natural Science Foundation of China (No. 10971130) and the Shanghai Leading Academic Dissipline Project (No. J50101)

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Sun, Wh., Sheng, Wc. The Riemann problem for nonlinear degenerate wave equations. Appl. Math. Mech.-Engl. Ed. 31, 665–674 (2010). https://doi.org/10.1007/s10483-010-1301-9

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  • DOI: https://doi.org/10.1007/s10483-010-1301-9

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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