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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
14:00 - 15:00, December 31, 2019 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Self-Similar and Discretely Self-Similar Solutions of the 3D MHD Equations
Chen-Chih Lai (Columbia University)

Abstract:

The magnetohydrodynamics (MHD) equations describe the interaction between the velocity field and the magnetic field governed by the coupling between the Navier—Stokes equations of fluid dynamics and Maxwell’s equations of electromagnetism. In this talk, we will introduce a construction of both self-similar (SS) and discretely self-similar (DSS) local Leray solutions to MHD equations with large weak L^3 initial data. The approach of this work is based on a work by Bradshaw and Tsai for Navier—Stokes equations, and is under the supervision of Prof. Tsai at University of British Columbia.



 

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