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 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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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ISSN: | 0253-4827 1573-2754 |
DOI: | 10.1007/s10483-010-1301-9 |