Diff. Geom, Math. Phys., PDE Seminar: Zachary Bradshaw

  • Date: 11/17/2015
  • Time: 15:30
Zachary Bradshaw, UBC

University of British Columbia


Forward discretely self-similar solutions of the Navier-Stokes equations


For any discretely self-similar, incompressible initial data which is arbitrarily large in weak L^3, we construct a forward discretely self-similar solution to the 3D Navier-Stokes equations in the whole space. This also gives a third construction of self-similar solutions for any -1-homogeneous initial data in weak L^3,  improving those in by Jia-Sverak and Korobkov-Tsai for H\"older continuous data. Our method is based on a new, explicit a priori bound for the Leray equations. This is a joint work with Tai-Peng Tsai.   

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Location: ESB 2012