BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY |
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| Authors: | Qin Xiaohong |
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| Affiliation: | bDepartment of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | An initial-boundary values problem in the half space (0, ∞)for p-system with artificial viscosity is investigated. It is shown that there exists a boundary layer solution. It is further proved that the boundary layer solution is nonlinear stable with arbitrarily large perturbation. The proof is given by an elementary energy method. |
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| Keywords: | p-system boundary layer solution large perturbation2000 MR Subject Classification: 35L65 35L60 |
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