English

Local in time solution to Kolmogorov's two-equation model of turbulence

Analysis of PDEs 2021-09-01 v3

Abstract

We prove the existence of local in time solution to Kolmogorov's two-equation model of turbulence in three dimensional domain with periodic boundary conditions. We apply Galerkin method for appropriate truncated problem. Next, we obtain estimates for a limit of approximate solutions to ensure that it satisfies the original problem.

Keywords

Cite

@article{arxiv.1906.08020,
  title  = {Local in time solution to Kolmogorov's two-equation model of turbulence},
  author = {Przemysław Kosewski and Adam Kubica},
  journal= {arXiv preprint arXiv:1906.08020},
  year   = {2021}
}