Publication
Well-Posedness of the Generalized Korteweg-de Vries-Burgers Equation with Nonlinear Dispersion and Nonlinear Dissipation
| Summary: | 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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| Main Authors: | Bedjaoui, Nabil |
| Other Authors: | Correia, Joaquim; Mammeri, Youcef |
| Subject: | KdV-Burgers equation nonlinear dispersion nonlinear dissipation Cauchy problem |
| Year: | 2016 |
| Country: | Portugal |
| Document type: | article |
| Access type: | restricted access |
| Associated institution: | Universidade de Évora |
| Language: | English |
| Origin: | Repositório Científico da Universidade de Évora |
| Summary: | 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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