The Riemann problem for nonlinear degenerate wave equations

The Riemann problem for nonlinear degenerate wave equations

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 cons...

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Veröffentlicht in:Applied mathematics and mechanics 2010-06, Vol.31 (6), p.665-674
1. Verfasser: 孙文华 盛万成
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Sprache:eng
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Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nonlinearity
Partial Differential Equations
Wave equations
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creator 孙文华 盛万成
description 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.
doi_str_mv 10.1007/s10483-010-1301-9
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subjects Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nonlinearity
Partial Differential Equations
Wave equations
title The Riemann problem for nonlinear degenerate wave equations
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