Analysis and PDE Seminar: Dyadic models of Hall MHD with intermittency dimension dependence

Friday, January 22 at 2:00pm to 3:00pm

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Mimi Dai, University of Illinois at Chicago

Abstract: Dyadic models for the magnetohydrodynamics with Hall effect are derived in the way intermittency dimension enters the modeling naturally as a parameter. Existence of weak solutions, local strong solution, and global strong solution are obtained for suitable values of the intermittency dimension, respectively. Moreover, finite time blow-up can occur for positive solutions when the intermittency dimension is below a threshold.

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