Pointwise estimates and Lp convergence rates to diffusion waves for p-system with damping |
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Authors: | Weike Wang |
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Institution: | a Department of Mathematics, Wuhan University, Wuhan, China b Department of Mathematics, City University of Hong Kong, 83 Tat Chee Ace, Hong Kong, Hong Kong |
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Abstract: | By introducing a new approximate Green function, we obtain the pointwise estimates on the solutions of Euler equations with linear frictional damping, from which we can deduce the optimal convergence rates to the nonlinear diffusion waves. The pointwise estimates and convergence rates given in this paper are new. |
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Keywords: | 35K 76N 35L |
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