Global solutions for the Kuramoto-Sivashinsky equation posed on unbounded 3D grooves

2021/07/24 by Larkin, Nikolai
#35B35 #35K91 #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2107.11622

Abstract

Initial boundary value problems for the three dimensional Kuramoto-Sivashinsky equation posed on unbounded 3D grooves were considered. The existence and uniqueness of global strong solutions as well as their exponential decay have been established.

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