【摘 要】
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In order to construct global piecewise smooth solutions to the two-dimensional (2D)Riemann problems for the compressible Euler equations,it is important to inve
【机 构】
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ShanghaiUniversity,China
【出 处】
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2014 workshop on nonlinear evolutionary partial differential
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In order to construct global piecewise smooth solutions to the two-dimensional (2D)Riemann problems for the compressible Euler equations,it is important to investigate 2D elementary wave interactions.In a recent paper,Serre [Arch.Rat.Mech.Anal.,191 (2008),539-577] investigated 2D shock interaction for a Chaplygin gas equations and constructed global solutions to several 2D Riemann problems.In this paper,we study 2D elementary wave interactions for the Chaplygin gas.These elementary waves include shock waves,simple waves,and delta waves.Using these elementary wave interactions, we also construct global piecewise smooth solutions to several 2D Riemann problems.
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