Lp-Convergence Rate to Nonlinear Diffusion Waves for p-System with Damping
Source: Journal of Differential Equations, Volume 161, Number 1, February 2000 , pp. 191-218(28)
Publisher: Academic Press
Abstract:In this paper, we study the p-system with frictional damping and show that the solutions time-asymptotically tend to the nonlinear diffusion waves governed by the classical Darcy's law. By introducing an approximate Green function, we obtain the optimal Lp, 2p+∞, convergence rate of the solution, which is a perturbation of the nonlinear diffusion wave, to the hyperbolic system. Copyright 2000 Academic Press.
Document Type: Research Article
Publication date: February 1, 2000