On scale-invariant solutions to the Navier Stokes equation

Special Colloquium

On scale-invariant solutions to the Navier Stokes equation

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Wednesday, January 23, 2013 23/01/2013 15:30:00 23/01/2013 16:30:00 6 On scale-invariant solutions to the Navier Stokes equationUniversity Park Campus
3:30 PM to 4:30 PM
University Park Campus
Kaprelian Hall (KAP)
414
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
  • Master of Liberal Studies
  • 3501 Trousdale Parkway
  • Mark Taper Hall, THH 355
  • University of Southern California
  • Los Angeles, California 90089-0355