Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/67871
Type: Artigo de periódico
Title: GENERALIZED SOLUTIONS TO THE KORTEWEG-DEVRIES AND THE REGULARIZED LONG-WAVE EQUATIONS
Author: BIAGIONI, HA
OBERGUGGENBERGER, M
Abstract: In this article generalized solutions to two model equations describing nonlinear dispersive waves are studied. The solutions are found in certain algebras of new generalized functions containing spaces of distributions. On the one hand, this allows the handling of initial data with strong singularities. On the other hand, suitable scaling allows one to introduce an infinitesimally small coefficient; thereby the authors produce generalized solutions in the sense of Colombeau to the inviscid Burgers equation.
Subject: NONLINEAR DISPERSIVE WAVES
ALGEBRAS OF GENERALIZED FUNCTIONS
SINGULAR INITIAL DATA
SMALL DISPERSION LIMIT
Editor: Siam Publications
Rights: aberto
Identifier DOI: 10.1137/0523049
Date Issue: 1992
Appears in Collections:Unicamp - Artigos e Outros Documentos

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