Well-Posedness of the Generalized Korteweg-de Vries-Burgers Equation with Nonlinear Dispersion and Nonlinear Dissipation
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Int. J. of Pure Math., Vol.2, pp.38-46
Abstract
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.
Description
Citation
Bedjaoui, Nabil, Correia, Joaquim M. C., Mammeri, Youcef; Well-Posedness of the Generalized Korteweg-de Vries-Burgers Equation with Nonlinear Dispersion and Nonlinear Dissipation, Int. J. of Pure Math. (2015), Vol.2, pp.38-46, ISSN 2313-0571