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Viscous Shock Wave and Boundary Layer Solution to an Inflow Problem for Compressible Viscous Gas |
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| Authors: | Feimin Huang Akitaka Matsumura Xiaoding Shi |
| Institution: | (1) Department of Mathematics, Graduate School of Science, Osaka University, Osaka, 560-0045, Japan;(2) Institute of Applied Mathematics, AMSS, Academia Sinica, Beijing, 100080, P.R. China;(3) Department of Mathematics and Information Science, Beijing University of Chemical Technology, Beijing, 100029, P.R. China |
| Abstract: | The inflow problem for a one-dimensional compressible viscous gas on the half line (0,+ ) is investigated. The asymptotic stability on both the viscous shock wave and a superposition of the viscous shock wave and the boundary layer solution is established under some smallness conditions. The proofs are given by an elementary energy method. |
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