An initial-boundary value problem in a strip for a two-dimensional equation of Zakharov-Kuznetsov type

2013/12/16 by Andrei V. Faminskii, Faminskii, Andrei V. · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #math.AP #msc:35Q53

paper · pdf · doi:10.48550/arxiv.1312.4444

26 pages

arxiv created 2014/11/22 · arxiv updated 2014/11/25

Abstract

An initial-boundary value problem in a strip with homogeneous Diriclet boundary conditions for two-dimensional generalized Zakharov-Kuznetsov equation is considered. In particular, dissipative and absorbing degenerate terms can be supplemented to the original Zakharov-Kuznetsov equation. Results on global existence, uniqueness and long-time decay of weak silutions are established.

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