Diff. Geom, Math. Phys., PDE Seminar: Zachary Bradshaw
Topic
Forward discretely self-similar solutions of the Navier-Stokes equations
Speakers
Details
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.
Additional Information
Location: ESB 2012
Zachary Bradshaw, UBC
Zachary Bradshaw, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
November 17, 2015
Time
-
Location