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Interactions of delta shock waves for the Chaplygin gas equations with split delta functions
Authors:Lihui Guo  Ying Zhang  Gan Yin
Institution:College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, PR China
Abstract:In this article, we study the interactions of delta shock waves for the one-dimensional Euler equations for Chaplygin gas with split delta functions. We constructively obtain the solutions when the initial data are three piecewise constant states. The global structure and large time-asymptotic behaviors of the solutions are analyzed case by case. Moreover, we obtain the stability of solutions by letting perturbed parameter ? tend to zero.
Keywords:Chaplygin gas  Wave interaction  Full linear degenerate  Delta shock wave  Measure solution  Riemann problem
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