Nonlinear acoustic waves in a fluid with relaxation
type: Item
instance of: scholarly article
title: Nonlinear acoustic waves in a fluid with relaxation
zbMATH Open document ID: 0907.35111
DOI: 10.1016/S0021-7824(98)80104-9
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1998-08-10T00:00:00Z
review text: A generalized nonlinear wave equation including relaxation effects and thermoviscous absorption is deduced from the equations of fluid mechanics. Then one proves the local and global existence of solution for the one-dimensional case of this wave equation.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 1187620
zbMATH Keywords: relaxing fluid
zbMATH Keywords: generalized Burgers equation
zbMATH Keywords: local and global existence
author: Thierry Aubin
author: F. Coulouvrat
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
cites work: Asymptotic solutions of model equations in nonlinear acoustics
cites work: Q3917556
cites work: The partial differential equation ut + uux = μxx
cites work: The hodograph transformation in trans-sonic flow. II. Auxiliary theorems on the hypergeometric functions ψ n (ז)
cites work: Perturbation methods and non-linear hyperbolic waves
cites work: Q3048493
cites work: Q4151274
description: scientific article; zbMATH DE number 1187620