Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions

2013/05/27 by Gleb G. Doronin, Doronin, Gleb G., Nikolai A. Larkin +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1305.6236

arXiv admin note: text overlap with arXiv:1209.5767

arxiv created 2013/05/27 · arxiv updated 2013/05/28

Abstract

Initial-boundary value problems for the linear Zakharov-Kuznetsov equation posed on bounded rectangles are considered. Spectral properties of a stationary operator are studied in order to show that the evolution problem posed on a bounded rectangle has no critical restrictions on its size. Exponential decay of regular solutions is established.

Citations

• Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip

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