Anisotropic solutions of a system of nonlinear parabolic equations
type: Item
instance of: scholarly article
title: Anisotropic solutions of a system of nonlinear parabolic equations
zbMATH Open document ID: 1026.35046
DOI: 10.1023/A:1021717110454
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: The spatially anisotropic solutions of the system \[ \frac{\partial v_i}{\partial t} = \frac{\partial}{\partial x} \left(v^{-1}_i\frac{\partial v_i}{\partial x}\right) + \frac{\partial}{\partial y} \left(v^{-1}_i\frac{\partial v_i}{\partial y}\right) + f_i(v_1, v_2)\quad (i=1,2) \] are sought. Here \(f_i(\lambda v_1, \lambda v_2) = \lambda f_i(v_1, v_2)\).
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1916185
zbMATH Keywords: continuous media
zbMATH Keywords: reaction-diffusion model
author: Edward Ivanovich Semenov
MaRDI profile type: Publication
full work available at URL: a:1021717110454
OpenAlex ID: W153995364
description: scientific article; zbMATH DE number 1916185