Stability of contact discontinuities to 1-D piston problem for the compressible Euler equations |
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Authors: | Min Ding |
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Institution: | Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, PR China |
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Abstract: | We consider 1-D piston problem for the compressible Euler equations when the piston is static relatively to the gas in the tube. By a modified wave front tracking method, we prove that a contact discontinuity is structurally stable under the assumptions that the total variation of the initial data and the perturbation of the piston velocity are both sufficiently small. Meanwhile, we study the asymptotic behavior of the solutions by the generalized characteristic method and approximate conservation law theory as . |
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Keywords: | Piston problem Compressible Euler equations Contact discontinuities Wave front tracking scheme Interaction of waves Asymptotic behavior |
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