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

2012/09/25 by Gleb G. Doronin, Doronin, G. G., Nikolai A. Larkin +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1209.5767

openalex publication_date 2012/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and critical sizes of domains are studied. Exponential decay of regular solutions for the original nonlinear problems is proved.

Cited by

• Long-Time Dynamics of the Zakharov-Kuznetsov Equation

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