Regularity criteria for the generalized viscous MHD equations
By Yong Zhou. 2007
229 citations recorded by the source corpus.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d93657fdb3a07fbfbffc705a503a21d97887fe15
How researchers see this paper
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In Applied Mathematics
- Zhichun Zhai
- Baoquan Yuan
- Nader Masmoudi
- Xinwei Yu
- Linna Bai
- Frédéric Rousset
- Peter Constantin
- Vlad Vicol
In Control and Systems Engineering
In Mathematical Physics
Citations in the corpus
- Remarks on global regularity of 2D generalized MHD equations (2013, background): “So the GMHD equations has attracted much interest of many mathematicians and has motivated a large number of research papers concerning various generalizations and improvements [8, 9, 10, 11, 13, 14].”
- Global well posedness for the Maxwell-Navier-Stokes system in 2D (2010, background): “Moreover, most of the mathematical works dealing with existence, uniqueness [13,30,1,2], blow-up criterion [6,20], regularity criteria [15,33,32], long time behavior or inviscid and non-resistive limits [12] or related problems [22] also make this assumption and hence remove the displacement current”
- Well‐posedness for fractional Navier–Stokes equations in the largest critical spaces Ḃ∞,∞−(2β−1)(Rn) (2012, methodology): “We refer the readers to Cao and Wu [34], Wu [21, 32, 35], Yuan [36], Zhou [37], and the references therein for more information about the MHD system.”
- Two regularity criteria for the 3D MHD equations (2009, unknown): “, [2],[7],[11],[13],[16],[17], [18],[19],[23],[26],[27],[28],[34], [35],[36],[38],[39],[40],[43],[45], [47],[48],[49],[50],[51],[52],[55]).”