Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping.
type: Item
instance of: scholarly article
title: Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping.
zbMATH Open document ID: 1035.35077
DOI: 10.1016/S0022-0396(02)00056-6
author: Weike Wang
author: Tong Yang
published in: Journal of Differential Equations
publication date: 2003-03-18T00:00:00Z
review text: The authors are interested in the large time behavior of the solution of Cauchy problem for the \(p\)-system with frictional damping (\(2 \times 2\) system of conservation laws with linear right-hand side). New approximate Green functions with a parameter is introduced and investigated by Fourier analysis. The new pointwise estimates on the solutions are obtained such that the optimal \(L_p\) convergence to the nonlinear diffusion waves can be deduced.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 1884224
zbMATH Keywords: \(p\)-system with frictional damping
zbMATH Keywords: \(2\times 2\) system
zbMATH Keywords: liner right-hand side
zbMATH Keywords: nonlinear diffusion waves
zbMATH Keywords: Cauchy problem
zbMATH Keywords: asymptotic behavior
reviewed by: Alexandr Doktor
MaRDI profile type: Publication
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full work available at URL: s0022-0396(02)00056-6
OpenAlex ID: W1976342131
description: scientific article; zbMATH DE number 1884224