Metastability and pinning for convection-diffusion-reaction equations in thin domains
type: Item
instance of: scholarly article
title: Metastability and pinning for convection-diffusion-reaction equations in thin domains
zbMATH Open document ID: 0958.35009
author: Xiaodi Sun
author: Michael J. Ward
published in: Methods and Applications of Analysis
publication date: 2001-04-02T00:00:00Z
review text: The authors consider initial-boundary value problems for singularly perturbed Ginzburg-Landau and transonic nozzle equations. In each case, the differential operator is perturbed by an exponentially small spatially inhomogeneous term. It is shown that such a perturbation often leads to the existence of new stable equilibrium solutions, not existing in the non-perturbed case. The conclusions are compared with numerical results.
reviewed by: Ibrahim Aganović
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 1513205
zbMATH Keywords: metastable dynamics
zbMATH Keywords: Ginzburg-Landau equation
zbMATH Keywords: exponentially small spatial inhomogeneous term
zbMATH Keywords: transonic nozzle equations
MaRDI profile type: Publication
DOI: 10.4310/MAA.1999.V6.N4.A3
description: scientific article; zbMATH DE number 1513205