Open AccessWave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws
Author(s) -
Anupam Sen,
T. Raja Sekhar,
V. D. Sharma
Publication year - 2017
Publication title -
quarterly of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 41
eISSN - 1552-4485
pISSN - 0033-569X
DOI - 10.1090/qam/1466
Subject(s) - conservation law , riemann problem , riemann hypothesis , shock wave , mathematics , mathematical analysis , exponential stability , function (biology) , shock (circulatory) , physics , mechanics , quantum mechanics , nonlinear system , evolutionary biology , biology , medicine
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