Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 284, Issue 1, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2022.109729
Keywords
Navier-Stokes equations; Epsilon regularity
Categories
Ask authors/readers for more resources
This article establishes a local-in-space short-time smoothing effect for the Navier-Stokes equations in the half space, overcoming the challenge of stronger non-local pressure effects. The application demonstrates that the critical L3x norm must concentrate at scales similar to root T* - t in the presence of a Type I blow-up.
We establish a local-in-space short-time smoothing effect for the Navier-Stokes equations in the half space. The whole space analogue, due to Jia and Sverak [21], is a central tool in two of the authors' recent work on quantitative L3x blow-up criteria [7]. The main difficulty is that the non-local effects of the pressure in the half space are much stronger than in the whole space. As an application, we demonstrate that the critical L3x norm must concentrate at scales similar to root T* - t in the presence of a Type I blow-up.(c) 2022 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available