Equilibrium solutions of viscous scalar balance laws with a convex flux
type: Item
instance of: scholarly article
title: Equilibrium solutions of viscous scalar balance laws with a convex flux
zbMATH Open document ID: 0946.35048
author: Jörg Härterich
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2000-10-17T00:00:00Z
review text: The author studies the equilibrium solutions to the problem \[ u_t+ \bigl(f(u)\bigr)_x=\varepsilon u_{xx}+ g(u),\;x\in (0,1),\quad u_x(0)= u_x(1)=0. \] The main result is the calculation of the Morse indices of the hyperbolic equilibrium solutions.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K50
zbMATH DE Number: 1406552
zbMATH Keywords: global attractor
zbMATH Keywords: slow manifold
zbMATH Keywords: normal form
zbMATH Keywords: Morse indices
reviewed by: Georgiĭ Anatol'evich Sviridyuk
MaRDI profile type: Publication
full work available at URL: s000300050011
OpenAlex ID: W2060721546
DOI: 10.1007/S000300050011
description: scientific article; zbMATH DE number 1406552