Title of article :
Interactions of delta shock waves for the Chaplygin gas equations with split delta functions
Author/Authors :
Guo، نويسنده , , Lihui and Zhang، نويسنده , , Ying and Yin، نويسنده , , Gan، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
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 ϵ tend to zero.
Keywords :
Chaplygin gas , Full linear degenerate , Wave interaction , Delta shock wave , Riemann problem , Measure solution
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications