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| A Generalized Blow up Criteria with One Component ofVelocity for 3D Incompressible MHD System∗ |
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Citation： |
Bin HAN,Xi XIONG.A Generalized Blow up Criteria with One Component ofVelocity for 3D Incompressible MHD System∗[J].Chinese Annals of Mathematics B,2024,45(2):253~264 |
| Page view： 1129
Net amount： 563 |
Authors： |
Bin HAN; Xi XIONG |
Foundation： |
This work was supported by Zhejiang Province Science fund (No. LY21A010009). |
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| Abstract： |
In this paper, the authors study the global regularity of the 3D magnetohydrodynamics system in terms of one velocity component. In particular, they establish a new
Prodi-Serrin type regularity criterion in the framework of weak Lebesgue spaces both in
time and space variables. |
Keywords： |
MHD, Regularity, Blow-up criterion |
Classification： |
35Q30, 76D03, 76N10, 76W05 |
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