L -decay rates of planar viscous rarefaction wave for scalar conservation law with degenerate viscosity in n -dimensions |
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Authors: | Yanhong Liu Changjiang Zhu |
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Affiliation: | 1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China;2. Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, PR China |
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Abstract: | We investigate the Cauchy problem and the initial-boundary value problem for multi-dimensional conservation laws with degenerate viscosity in the whole space and in the half-space respectively. We give the optimal decay estimates in the W1,p(1≤p≤∞) norm for the perturbation from the planar viscous rarefaction wave. The analysis based on the new Lp-energy method and L1-estimates. |
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Keywords: | 35K65 35L65 35B40 35B45 |
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