Nonlinear parabolic equations, relaxation and roughness.
type: Item
instance of: scholarly article
title: Nonlinear parabolic equations, relaxation and roughness.
zbMATH Open document ID: 1053.35059
DOI: 10.1016/S0007-4497(03)00059-9
author: Julian Ławrynowicz
author: Leszek Wojtczak
author: Thierry Aubin
published in: Bulletin des Sciences Mathématiques
publication date: 2003-12-03T00:00:00Z
review text: The authors consider a related equation of Ginzburg-Landau type, extended for the kinetic depinning transition. They study this equation for the variable in \(\mathbb{R}^5\) or \(\mathbb{R}^9\) or \(\mathbb{R}^{13}.\) The physical importance of these cases is related to the following problems: 1) interaction of a particle with the initial atom of a chain of atoms, 2) interaction with the initial atom of a chain of atoms and a hole (antiparticle) related to the previous position of an atom in the crystallographic lattice, 3) interaction with a system of atoms.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q40
zbMATH DE Number: 2012769
zbMATH Keywords: Ginzburg-Landau
zbMATH Keywords: kinetic depinning transition
MaRDI profile type: Publication
cites work: Nonlinear acoustic waves in a fluid with relaxation
cites work: Q3376894
cites work: Q4842425
cites work: Q4842432
cites work: Q4754498
cites work: Q3376900
cites work: Q4395512
cites work: Q3376880
cites work: Q3729093
cites work: Q3030946
cites work: Pseudo-Euclidean Hurwitz pairs and the Kaluza-Klein theories
cites work: On the composition of nondegenerate quadratic forms with an arbitrary index
cites work: Q3376828
cites work: Q3376834
cites work: Q4509020
cites work: Pseudotwistors
cites work: Q3376886
cites work: Q3376913
cites work: Clifford algebras and spinors.
cites work: Q4740120
cites work: Q4395518
cites work: Q4853983
full work available at URL: s0007-4497(03)00059-9
OpenAlex ID: W4212995275
description: scientific article; zbMATH DE number 2012769