Global regularity for a model Navier-Stokes equations on $\Bbb R^3$

Dongho Chae

Global regularity for a model Navier-Stokes equations on $\Bbb R^3$

Analysis of PDEs 2015-05-14 v1

Authors: Dongho Chae

Abstract

We study a nonlinear parabolic system for a time dependent solenoidal vector field on $\Bbb R^3$ . The nonlinear term of this new model equations is obtained slightly modifying that of the Navier-Stokes equations. The system has the same scaling property and the Galileian invariance as the Navier-Stokes equations. For such system we prove the global regularity for a smooth initial data.

Keywords

navier-stokes equations global existence sobolev regularity of partial differential equations

Cite

@article{arxiv.1505.03203,
  title  = {Global regularity for a model Navier-Stokes equations on $\Bbb R^3$},
  author = {Dongho Chae},
  journal= {arXiv preprint arXiv:1505.03203},
  year   = {2015}
}

Comments

9 pages(to appear in Analysis)

Related papers

View all related →