Finite time blow up for a Navier-Stokes like equation
| dc.creator | Montgomery-Smith, Stephen | |
| dc.date | 1999-11-29 | |
| dc.date | 2000-07-10 | |
| dc.date.accessioned | 2026-07-07T05:31:58Z | |
| dc.date.available | 2026-07-07T05:31:58Z | |
| dc.description | 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. | |
| dc.description | Also available at http://www.math.missouri.edu/~stephen/preprints/ | |
| dc.identifier | https://arxiv.org/abs/math/9911223 | |
| dc.identifier | http://arxiv.org/abs/math/9911223 | |
| dc.identifier | Proc. A.M.S., 129, (2001), 3017-3023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79495 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 35Q30 46E35 (Primary); 34G20, 37L05, 47D06, 47H10 (Secondary) | |
| dc.title | Finite time blow up for a Navier-Stokes like equation | |
| dc.type | text |