Weighted energy estimates and discretely self-similar solutions to the Navier-Stokes problem

2020-11-27 17:30-18:30 Zoom

Abstract : Uniform local energy estimates were used by Jia and Sverak to prove the existence of self-similar solutions of the Navier-Stokes equations associated to a regular homogeneous initial value; their result is easily extended to the case of rough initial values (only locally L^2 and homogeneous). The case of discretely self-similar solutions was then solved by Bradshaw and Tsai, and by Chae and Wolf. We propose (my Ph.D. student and I) a simple proof by using weighted energy estimates.

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Conference ID:699 0621 8522