| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Finite time blow up for a Navier-Stokes like equation | Stephen Montgomery-Smith
; | Date: |
29 Nov 1999 | Journal: | Proc. A.M.S., 129, (2001), 3017-3023 | Subject: | Analysis of PDEs; Classical Analysis and ODEs; Functional Analysis; Mathematical Physics MSC-class: 35Q30 46E35 (Primary); 34G20, 37L05, 47D06, 47H10 (Secondary) | math.AP math-ph math.CA math.FA math.MP | Abstract: | We consider an equation similar to the Navier-Stokes equation. We show that there is initial data that exists in every Triebel-Lizorkin or Besov space (and hence in every Lebesgue and Sobolev space), such that after a finite time, the solution is in no Triebel-Lizorkin or Besov space (and hence in no Lebesgue or Sobolev space). The purpose is to show the limitations of the so called semigroup method for the Navier-Stokes equation. We also consider the possibility of existence of solutions with initial data in the Besov space $dot B^{-1,infty}_infty$. We give initial data in this space for which there is no reasonable solution for the Navier-Stokes like equation. | Source: | arXiv, math.AP/9911223 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |