dc.contributor.author | Montgomery-Smith, Stephen, 1963- | eng |
dc.date.issued | 2011 | eng |
dc.description | The final version of this paper appears in: "Proceedings of the American Mathematical Society" 129 (2001): 3017-3023. Print. | eng |
dc.description.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 B∞-1,∞. We give initial data in this space for which there is no reasonable solution for the Navier-Stokes like equation. | eng |
dc.identifier.uri | http://hdl.handle.net/10355/9695 | eng |
dc.relation.ispartof | Mathematics publications (MU) | eng |
dc.relation.ispartofcommunity | University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics | eng |
dc.subject | Cheap Navier-Stokes equation | eng |
dc.subject | Semigroup method | eng |
dc.subject.lcsh | Navier-Stokes equations | eng |
dc.title | Finite time blow up for a Navier-Stokes like equation | eng |
dc.type | Preprint | eng |