Anupam Pal Choudhury
Abstract:
This article concerns the resolution of the Riemann problem for a 2x2 system
in nonconservative form exhibiting parabolic degeneracy. The system can
be perceived as the limiting equation (depending on a parameter tending to 0)
of a 2x2 strictly hyperbolic, genuinely nonlinear, non-conservative system
arising in context of a model in elastodynamics.
Submitted October 22, 2013. Published January 3, 2014.
Math Subject Classifications: 35L65, 35L67.
Key Words: Hyperbolic systems of conservation laws; delta-shock wave type solution;
weak asymptotic method.
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Anupam Pal Choudhury TIFR Centre for Applicable Mathematics Sharada Nagar, Chikkabommasandra, GKVK P.O. Bangalore 560065, India email: anupam@math.tifrbng.res.in |
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