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|Type:||Artigo de periódico|
|Title:||GENERALIZED SOLUTIONS TO THE KORTEWEG-DEVRIES AND THE REGULARIZED LONG-WAVE EQUATIONS|
|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
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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