Global Regular Solutions for the Multi-dimensional Kuramoto-Sivashinsky Equation posed on Smooth Domains

2022/03/28 by N. A. Larkin, Larkin, N. A.
Engineering · #2010:35Q35 #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2203.14739

openalex publication_date 2022/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Initial-boundary value problems for the n-dimensional (n is a natural number from the interval [2,7]) Kuramoto-Sivashinsky equation posed on smooth bounded domains in ℝⁿ were considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been considered.

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