Global Existence of Smooth Solutions to Three Dimensional Hall-MHD System with Mixed Partial Viscosity
Year: 2021
Author: Yuzhu Wang
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 1–13
Abstract
We investigate the global existence of smooth solutions to the three dimensional generalized Hall-MHD system with mixed partial viscosity in this work. The diffusion of mixed partial viscosity is weaker than that of full viscosity, which cases new difficulty in proving global smooth solutions. Moreover, Hall term heightens the level of nonlinearity of the standard MHD system. Global smooth solutions are established by using energy method and the bootstrapping argument, provided that the initial data is enough small.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n1.1
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 1–13
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Hall-MHD system with mixed viscosity global existence smooth solutions.