Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
Analysis of PDEs
2009-01-23 v1
Abstract
We discuss the regularity of solutions of 2D incompressible Navier-Stokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes equations coupled to a nonlinear Fokker-Planck equation describing microscopic corpora embedded in the fluid. This leads naturally to bounded added stress and hence to forcing of the Navier-Stokes equations.
Keywords
Cite
@article{arxiv.0901.3508,
title = {Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing},
author = {Peter Constantin and Gregory Seregin},
journal= {arXiv preprint arXiv:0901.3508},
year = {2009}
}