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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Bibliographic Details
Main Author: Bedjaoui, Nabil (author)
Other Authors: Correia, Joaquim (author), Mammeri, Youcef (author)
Format: article
Language:eng
Published: 2016
Subjects:
KdV-Burgers equation
nonlinear dispersion
nonlinear dissipation
Cauchy problem
Online Access:http://hdl.handle.net/10174/17722
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/17722

Internet

http://hdl.handle.net/10174/17722

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