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arXiv · 2203.14739

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

N. A. Larkin
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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 $\mathbb{R}^n$ were considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been considered.

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N. A. Larkin. 2022-03-28. Global Regular Solutions for the Multi-dimensional Kuramoto-Sivashinsky Equation posed on Smooth Domains. https://arxiv.org/abs/2203.14739

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