Autor(es): Bedjaoui, Nabil ; Correia, Joaquim ; Mammeri, Youcef
Data: 2016
Identificador Persistente: http://hdl.handle.net/10174/17722
Origem: Repositório Científico da Universidade de Évora
Assunto(s): KdV-Burgers equation; nonlinear dispersion; nonlinear dissipation; Cauchy problem
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.
FCT, UID/MAT/04674/2013
