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Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations
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@Article{JPDE-31-343,
author = {Zhang , Hui},
title = {Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations},
journal = {Journal of Partial Differential Equations},
year = {2019},
volume = {31},
number = {4},
pages = {343--352},
abstract = {
We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1]. Moreover, we prove that solutions decay to zero as time goes to infinity.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n4.5}, url = {http://global-sci.org/intro/article_detail/jpde/12948.html} }
TY - JOUR
T1 - Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations
AU - Zhang , Hui
JO - Journal of Partial Differential Equations
VL - 4
SP - 343
EP - 352
PY - 2019
DA - 2019/01
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n4.5
UR - https://global-sci.org/intro/article_detail/jpde/12948.html
KW - MHD equations
KW - global well-posedness
KW - Lei-Lin space.
AB -
We prove the global existence of a unique mild solutions to the incompressible MHD equations when the initial data are less than the viscosity coefficients in a new critical space introduced by Lei and Lin [1]. Moreover, we prove that solutions decay to zero as time goes to infinity.
Hui Zhang. (2019). Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations.
Journal of Partial Differential Equations. 31 (4).
343-352.
doi:10.4208/jpde.v31.n4.5
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