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Lp-decay rates to nonlinear diffusion waves for p-system with nonlinear damping
In this paper, we study the Lp (2 ≤ p ≤ +∞) convergence rates of the solutions to the Cauchy problem of the so-called p-system with nonlinear damping. Precisely, we show that the corresponding Cauchy problem admits a unique global solution (v(x,t),u(x,t)) and such a solution tends time-asymptotically to the corresponding nonlinear diffusion wave (-v(x, t), -u(x, t)) governed by the classical Darcy's law provided that the corresponding prescribed initial error function (w0(x), z0(x))lies in (H3 × H2) (R) and |v+ - v-| + ‖w0‖3 + ‖z0‖2 is sufficiently small.Furthermore, the Lp (2 ≤ p ≤ +∞) convergence rates of the solutions are also obtained.
作 者： ZHU Changjiang JIANG Mina 作者單位： Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China 刊 名： 中國科學A輯（英文版） SCI 英文刊名： SCIENCE IN CHINA (SERIES A) 年，卷(期)： 2006 49(6) 分類號： O1 關(guān)鍵詞： nonlinear damping nonlinear diffusion waves convergence rates energy estimates【Lp-decay rates to nonlinear diffusio】相關(guān)文章：
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