Interactions of delta shock waves for the Chaplygin gas equations with split delta functions |
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Authors: | Lihui Guo Ying Zhang Gan Yin |
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Affiliation: | College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, PR China |
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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. |
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Keywords: | Chaplygin gas Wave interaction Full linear degenerate Delta shock wave Measure solution Riemann problem |
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