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arXiv · 1312.4444

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

Andrei V. Faminskii
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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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Andrei V. Faminskii. 2013-12-16. An initial-boundary value problem in a strip for a two-dimensional equation of Zakharov-Kuznetsov type. https://arxiv.org/abs/1312.4444

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