Existence and decay of global solutions for the Kuramoto–Sivashinsky–Zakharov–Kuznetsov equation posed on rectangles

N. A. Larkin
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N. A. Larkin: Universidade Estadual de Maringá

Partial Differential Equations and Applications, 2022, vol. 3, issue 2, 1-17

Abstract: Abstract Two initial-boundary value problems for the two-dimensional Kuramoto–Sivashinsky–Zakharov–Kuznetsov equation posed on rectangles were considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been established.

Keywords: Kuramoto–Sivashinsky equation; Zakharov–Kuznetsov equation; Global solutions; Decay in bounded domains; 35B35; 35K91; 35Q53 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00155-6

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