Riemann Problem for the Nonlinear Degenerate Wave Equations

SUN Wen-hua; SHENG Wan-cheng

doi:10.3879/j.issn.1000-0887.2010.06.001

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SUN Wen-hua, SHENG Wan-cheng. Riemann Problem for the Nonlinear Degenerate Wave Equations[J]. Applied Mathematics and Mechanics, 2010, 31(6): 639-648. doi: 10.3879/j.issn.1000-0887.2010.06.001

Citation:

SUN Wen-hua, SHENG Wan-cheng. Riemann Problem for the Nonlinear Degenerate Wave Equations[J]. Applied Mathematics and Mechanics, 2010, 31(6): 639-648. doi: 10.3879/j.issn.1000-0887.2010.06.001

Citation:

SUN Wen-hua, SHENG Wan-cheng. Riemann Problem for the Nonlinear Degenerate Wave Equations[J]. Applied Mathematics and Mechanics, 2010, 31(6): 639-648. doi: 10.3879/j.issn.1000-0887.2010.06.001

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Riemann Problem for the Nonlinear Degenerate Wave Equations

doi: 10.3879/j.issn.1000-0887.2010.06.001

SUN Wen-hua¹,
SHENG Wan-cheng²

School of Sciences, Shandong University of Technology, Zibo, Shandong 255049, P. R. China;
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-05-10
Publish Date: 2010-06-15

Abstract

Abstract

The Riemann problem for a non linear degenerate wave equation system in elasticity was considered. Since the stress function was not convex or concave, the shock condition was degenerate. By in troducing a degenerate shock under the generalized shock condition, the global solutions were constructively obtained case by case.
- degenerate wave equations,
- Riemann problem,
- rarefaction wave,
- shock wave,
- degenerate shock

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References(14)

References

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