Global Existence of Weak Solutions for Generalized Quantum MHD Equation
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@Article{AAM-33-111,
author = {Guo , Boling and Xie , Binqiang},
title = {Global Existence of Weak Solutions for Generalized Quantum MHD Equation},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {33},
number = {2},
pages = {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 $\gamma > 1.$
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20599.html} }
TY - JOUR
T1 - Global Existence of Weak Solutions for Generalized Quantum MHD Equation
AU - Guo , Boling
AU - Xie , Binqiang
JO - Annals of Applied Mathematics
VL - 2
SP - 111
EP - 129
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20599.html
KW - weak solutions, MHD equation, quantum hydrodynamic.
AB -
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 $\gamma > 1.$
Boling Guo & Binqiang Xie. (2022). Global Existence of Weak Solutions for Generalized Quantum MHD Equation.
Annals of Applied Mathematics. 33 (2).
111-129.
doi:
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