Kawahara-Burgers Equation on a Strip

Abstract

An initial-boundary value problem for the 2D Kawahara-Burgers equation posed on a channel-type strip was considered. The existence and uniqueness results for regular and weak solutions in weighted spaces as well as exponential decay of small solutions without restrictions on the width of a strip were proven both for regular solutions in an elevated norm and for weak solutions in the L 2 -norm.

Propiedades del soporte de soluciones de una clase de ecuaciones de evolución no lineales en dos dimensiones

“…where α is equal to 1 or 0 (see [11] and references therein), and the Kawahara-Burgers equation (see [10] and references therein). Both of them are perturbations of the (ZK) equation.…”