DECAY RATES OF PLANAR VISCOUS RAREFACTION WAVE FOR MULTI-DIMENSIONAL SCALAR CONSERVATION LAW WITH DEGENERATE VISCOSITY ON HALF SPACE |
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| Authors: | Liu Yanhong |
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| Institution: | Department of Mathematics, Huazhong University of Science and Technology, Wuhan ~3007~, China |
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| Abstract: | We investigate the decay rates of the planar viscous rarefaction wave of the initial-boundary value problem to scalar conservation law with degenerate viscosity in several dimensions on the half-line space,where the corresponding one-dimensional problem admits the rarefaction wave as an asymptotic state.The analysis is based on the standard L2-energy method and L1-estimate. |
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| Keywords: | planar viscous rarefaction wave degenerate viscosity energy method L~1-estimate decay rates boundary layer |
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