Type: Article

A Neumann problem for the KdV equation with Landau damping on a half-line

Felipe Benitez; Elena I. Kaikina;

Abstract:

We consider the initial-boundary value problem on a half-line for the KdV equation with Landau damping. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.