This article is cited in 1 paper

Dissipative Zakharov system in two-dimensional thin domain

A. S. Shcherbina

Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Abstract: We study the dissipative case of the Zakharov system with periodic boundary conditions in the two-dimensional thin domain. We prove that this system has a unique strong solution. Our proof is based on the Galerkin method of approximations.

MSC: 35Q55

Received: 21.06.2004

Language: English

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