Well-Posedness of the Generalized Korteweg-de Vries-Burgers Equation with Nonlinear Dispersion and Nonlinear Dissipation

We prove the well-posedness of the generalized Korteweg-de Vries-Burgers equation with nonlinear dispersion and nonlinear dissipation ut+f(u)x−δg(uxx)x−εh(ux)x=0. Contrary the linear case, the dispersion properties of the free evolution are useless and a vanishing parabolic regularization is then us...

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Detalhes bibliográficos
Autor principal: Bedjaoui, Nabil (author)
Outros Autores: Correia, Joaquim (author), Mammeri, Youcef (author)
Formato: article
Idioma:eng
Publicado em: 2016
Assuntos:
KdV-Burgers equation
nonlinear dispersion
nonlinear dissipation
Cauchy problem
Texto completo:http://hdl.handle.net/10174/17722
País:Portugal
Oai:oai:dspace.uevora.pt:10174/17722
Descrição
Resumo:We prove the well-posedness of the generalized Korteweg-de Vries-Burgers equation with nonlinear dispersion and nonlinear dissipation ut+f(u)x−δg(uxx)x−εh(ux)x=0. Contrary the linear case, the dispersion properties of the free evolution are useless and a vanishing parabolic regularization is then used.

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