Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms
type: Item
instance of: scholarly article
title: Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms
zbMATH Open document ID: 1235.35033
author: Abeer Al Elaiw
author: Slim Tayachi
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-01-04T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35C06
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K45
zbMATH DE Number: 5994357
zbMATH Keywords: nonlinear parabolic systems
zbMATH Keywords: global existence
zbMATH Keywords: nonlinear gradient terms
zbMATH Keywords: self-similar solutions
zbMATH Keywords: large time behavior
zbMATH Keywords: scaling invariance
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.10.014
OpenAlex ID: W2070557408
cites work: Q3565754
cites work: Existence et décroissance en norme L1 des solutions d’un système parabolique semi-linéaire
cites work: \(L^1\) decay properties for a semilinear parabolic system.
cites work: The Cauchy problem for a coupled semilinear parabolic system
cites work: A generalization of a theorem by Kato on Navier-Stokes equations
cites work: Self-similar solutions for navier-stokes equations in
cites work: Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
cites work: More self-similar solutions of the nonlinear Schrödinger equation
cites work: Scattering Theory and Self-Similar Solutions for the Nonlinear Schrödinger Equation
cites work: On the existence of self-similar solutions of the nonlinear Schrödinger equation with power nonlinearity between 1 and 2
cites work: Navier-stokes flow in r3with measures as initial vorticity and morrey spaces
cites work: Decay of mass for a semilinear parabolic system: the critical case
cites work: Self-similar and asymptotically self-similar solutions of nonlinear wave equations
cites work: Solutions auto-similaires et espaces de données initiales pour l'équation de Schrödinger
cites work: Cauchy problem for semilinear parabolic equations with initial data in \(H_p^s(\mathbb{R}^n)\) spaces
cites work: Regular and self-similar solutions of nonlinear Schrödinger equations
cites work: Global solutions and self-similar solutions of semilinear wave equation
cites work: Asymptotic self-similar behavior of solutions for a semilinear parabolic system
cites work: Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems
cites work: ASYMPTOTICALLY SELF-SIMILAR GLOBAL SOLUTIONS OF A DAMPED WAVE EQUATION
cites work: Large time behavior of solutions for parabolic equations with nonlinear gradient terms
cites work: Asymptotically self-similar global solutions of a semilinear parabolic equation with a nonlinear gradient term
cites work: Asymptotically self-similar global solutions of a general semilinear heat equation
cites work: Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation.
DOI: 10.1016/J.JMAA.2011.10.014
description: scientific article; zbMATH DE number 5994357