On scale-invariant solutions to the Navier Stokes equation

On scale-invariant solutions to the Navier Stokes equation

Special Colloquium
  • Date:
    Wednesday, January 23, 2013
  • Time:
    3:30 PM to 4:30 PM
  • Campus:
    University Park Campus
  • Venue:
    Kaprelian Hall (KAP)
  • Room:
    414

Description:

Hao Jia, University of Minnesota

Abstract: The Navier Stokes equation has a natural scaling invariance. In this talk we will discuss a result that for every scale-invariant initial data there is a global scale invariant solution (smooth for positive times) to the Navier Stokes equation. It appears that the result is not accessible by the usual perturbation methods. The proof uses a topological tool (degree theory), and seems to suggest non-uniqueness. We will also present some new estimates which seem to be of independent interest. Joint work with V. Sverak
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