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http://hdl.handle.net/10174/17722
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| Title: | Well-Posedness of the Generalized Korteweg-de Vries-Burgers Equation with Nonlinear Dispersion and Nonlinear Dissipation |
| Authors: | Bedjaoui, Nabil
Correia, Joaquim
Mammeri, Youcef |
| Editors: | Atici, Ferhan M. |
| Keywords: | KdV-Burgers equation
nonlinear dispersion
nonlinear dissipation
Cauchy problem |
| Issue Date: | 2015 |
| Publisher: | Int. J. of Pure Math., Vol.2, pp.38-46 |
| 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 |
| 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. |
| URI: | http://hdl.handle.net/10174/17722 |
| ISSN: | 2313-0571 |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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