L^{4,\infty}-solution to the Navier-Stokes Equations in four-dimensional
  space

There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

Abstract

In this paper, we have showed \(L^{4,\infty}\)-solutions to the cauchy problem for the four-dimensional Navier-Stokes equations are smooth through backward uniqueness and analytic functions properties .

Related collections

Most cited references 3

Record: found
Abstract: not found
Article: not found

On partial regularity results for the navier-stokes equations

Michael Struwe (1988)

0 comments Cited 60 times – based on 0 reviews      Review now

Bookmark

Record: found
Abstract: not found
Article: not found

On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation

Kyūya Masuda (1967)

0 comments Cited 15 times – based on 0 reviews      Review now

Bookmark

Record: found
Abstract: found
Article: found

Is Open Access

Partial Regularity of solutions to the Four-dimensional Navier-Stokes equations at the first blow-up time

Dapeng Du, Hongjie Dong (2006)

The solutions of incompressible Navier-Stokes equations in four spatial dimensions are considered. We prove that the two-dimensional Hausdorff measure of the set of singular points at the first blow-up time is equal to zero.