English

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

Analysis of PDEs 2021-07-27 v1

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.

Keywords

Cite

@article{arxiv.2107.11622,
  title  = {Global solutions for the Kuramoto-Sivashinsky equation posed on unbounded 3D grooves},
  author = {Nikolai Larkin},
  journal= {arXiv preprint arXiv:2107.11622},
  year   = {2021}
}