Global Existence of Weak Solutions for Generalized Quantum MHD Equation
Year: 2017
Author: Boling Guo, Binqiang Xie
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 111–129
Abstract
We prove the existence of a weak solution for a generalized quantum MHD equation in a 2-dimensional periodic box for large initial data. The existence of a global weak solution is established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent γ>1.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20599
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 111–129
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: weak solutions MHD equation quantum hydrodynamic.
Author Details
Boling Guo Email
Binqiang Xie Email