Two regularity criteria for the 3D MHD equations
By Chongsheng Cao, Jiahong Wu. 2009
313 citations recorded by the source corpus.
This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one direction while the second one requires suitable boundedness of the derivative of the pressure in one direction.
Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8c9994c6c88bc23183fac60956abf386cfce5349
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In Applied Mathematics
In Computational Mechanics
In Mathematical Physics
Citations in the corpus
- 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.”
- Global strong solution to the 2D nonhomogeneous incompressible MHD system (2012, background): “rong solutions. In particular, the 2D local strong solution has been proved to be global and unique. While for the three-dimensional case, different Serrin type criteria similar to (1.6) were given in [8,19,20,30]. As for the 3D Navier-Stokes equations, whether the local strong solution is global is ”