Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation
type: Item
instance of: scholarly article
title: Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation
zbMATH Open document ID: 0757.65123
DOI: 10.1016/0168-9274(92)90049-J
author: V. A. Dougalis
author: Ohannes Karakashian
author: W. R. McKinney
author: Jerry L. Bona
published in: Applied Numerical Mathematics
publication date: 1992-10-25T00:00:00Z
review text: The work tries to propose a numerical scheme for an extremely difficult problem, the periodic initial-value problem for the generalized Korteweg- de Vries-Burgers equation. A lot of numerical experiments are displayed in order to cast light on the interaction between nonlinear, dispersive and dissipative effects involved in equations of this type.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 69580
zbMATH Keywords: Galerkin finite elements
zbMATH Keywords: implicit Runge-Kutta
zbMATH Keywords: local well-posedness
zbMATH Keywords: periodic initial-value problem
zbMATH Keywords: generalized Korteweg-de Vries-Burgers equation
zbMATH Keywords: nonlinearity
zbMATH Keywords: dispersion
zbMATH Keywords: dissipation
zbMATH Keywords: numerical experiments
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
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full work available at URL: 0168-9274(92)90049-j
OpenAlex ID: W1993384302
description: scientific article; zbMATH DE number 69580