Add to ORKGWe 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/04674/201
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
In this article generalized solutions to two model equations describing nonlinear dispersive waves a...
We consider the approximation of the inviscid Burgers equation by nonlinear Korteweg-de Vries (KdV) ...
Corrected version accepted for publication in Annales de l'IHP.We show that the Cauchy problem for a...
Corrected version accepted for publication in Annales de l'IHP.We show that the Cauchy problem for a...
We consider higher order viscous Burgers' equations with generalized nonlinearity and study the asso...
Abstract. We study the local and global well-posedness of the initial value problem for the class of...
This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersi...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
AbstractWe consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3...
In this paper we study the local well-posedness of the initial value problem for a Nutku-Oguz-Burger...
Orientadores: Mahendra Prasad Panthee, Ademir Pastor FerreiraTese (doutorado) - Universidade Estadua...
International audienceWe complete the known results on the local Cauchy problem in Sobolev spaces fo...
Evolution equations featuring nonlinearity, dispersion and dissipation are considered here. For clas...
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
In this article generalized solutions to two model equations describing nonlinear dispersive waves a...
We consider the approximation of the inviscid Burgers equation by nonlinear Korteweg-de Vries (KdV) ...
Corrected version accepted for publication in Annales de l'IHP.We show that the Cauchy problem for a...
Corrected version accepted for publication in Annales de l'IHP.We show that the Cauchy problem for a...
We consider higher order viscous Burgers' equations with generalized nonlinearity and study the asso...
Abstract. We study the local and global well-posedness of the initial value problem for the class of...
This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersi...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
AbstractWe consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3...
In this paper we study the local well-posedness of the initial value problem for a Nutku-Oguz-Burger...
Orientadores: Mahendra Prasad Panthee, Ademir Pastor FerreiraTese (doutorado) - Universidade Estadua...
International audienceWe complete the known results on the local Cauchy problem in Sobolev spaces fo...
Evolution equations featuring nonlinearity, dispersion and dissipation are considered here. For clas...
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
We consider the generalized Korteweg-de Vries equation, which contains nonlinear dispersive effects....
In this article generalized solutions to two model equations describing nonlinear dispersive waves a...