English

Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'

Analysis of PDEs 2007-10-03 v1

Abstract

We consider a circulation system arising in turbulence modelling in fluid dynamics with unbounded eddy viscosities. Various notions of weak solutions are considered and compared. We establish existence and regularity results. In particular we study the boundedness of weak solutions. We also establish an existence result for a classical solution

Keywords

Cite

@article{arxiv.0704.2775,
  title  = {Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'},
  author = {Pierre Dreyfuss},
  journal= {arXiv preprint arXiv:0704.2775},
  year   = {2007}
}