Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping
Analysis of PDEs
2011-02-08 v1
Abstract
We prove an analog of the Caffarelli-Kohn-Nirenberg theorem for weak solutions of a system of PDE that model a viscoelastic fluid in the presence of an energy damping mechanism. The system was recently introduced as a possible method of establishing the global in time existence of weak solutions of the well known Oldroyd system.
Keywords
Cite
@article{arxiv.1102.1112,
title = {Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping},
author = {Ryan Hynd},
journal= {arXiv preprint arXiv:1102.1112},
year = {2011}
}