Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws

Sen, Anupam; Raja Sekhar, T.; Sharma, V.

doi:10.1090/qam/1466

Authors: Anupam Sen, T. Raja Sekhar and V. D. Sharma
Journal: Quart. Appl. Math. 75 (2017), 539-554
MSC (2010): Primary 35L45, 35L65, 58J45; Secondary 35Q35, 35L67
DOI: https://doi.org/10.1090/qam/1466
Published electronically: March 15, 2017
MathSciNet review: 3636168
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Abstract: In this article, we study the interaction of delta shock waves for the one-dimensional strictly hyperbolic system of conservation laws with split delta function. We prove that Riemann solutions are stable under local small perturbations of the Riemann initial data. The global structure and large time asymptotic behaviour of the perturbed Riemann solutions are constructed and analyzed case by case.

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