Global Regular Solutions for the Multi-dimensional Kuramoto-Sivashinsky Equation posed on Smooth Domains
Analysis of PDEs
2022-05-24 v1
Abstract
Initial-boundary value problems for the -dimensional ( is a natural number from the interval [2,7]) Kuramoto-Sivashinsky equation posed on smooth bounded domains in were considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been considered.
Keywords
Cite
@article{arxiv.2203.14739,
title = {Global Regular Solutions for the Multi-dimensional Kuramoto-Sivashinsky Equation posed on Smooth Domains},
author = {N. A. Larkin},
journal= {arXiv preprint arXiv:2203.14739},
year = {2022}
}