Generalized MHD equations

By Jiahong Wu. 2003

403 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/768b12d97e173f4f54cad23349ac8cee3098370a

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Two regularity criteria for the 3D MHD equations (2009, neutral): “, [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]).”
Global well-posedness for a Boussinesq- Navier-Stokes System with critical dissipation (2009, background): “1) is reduced to the generalized Navier-Stokes system which was studied in a series of papers [24, 25, 26] for all space dimension d ≥ 2.”
Global Regularity for a Class of Generalized Magnetohydrodynamic Equations (2011, background): “This paper improves the global regularity result of [22] by reducing the dissipation in (1.”
Partial Regularity of Suitable Weak Solutions to the Fractional Navier–Stokes Equations (2014, background): “1) has a unique global smooth solution for any prescribed smooth initial data (also see [6,16,18]).”
Lower Bounds for an Integral Involving Fractional Laplacians and the Generalized Navier-Stokes Equations in Besov Spaces (2006, methodology): “For the general d-D GNS equations, we have shown in [17] that α ≥ 1 2 + d4 guarantees global regularity.”
Regularity criteria for the generalized viscous MHD equations (2007, background): “In [15], Wu defined the weak solutions without (iii), the energy inequality.”
On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations (2007, methodology): “On the other hand, the method in this paper can be applied to the generalized MHD equations, please refer to [22, 23] for details.”
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.”
Random Data Cauchy Theory for the Generalized Incompressible Navier–Stokes Equations (2012, background): “The existence and uniqueness of the global solution of the general N -D GNS equations with α ≥ 12 + N4 is well-known [16].”
The generalized incompressible Navier-Stokes equations in Besov spaces (2004, background): “classical solution of (1.1) is always global in time ([ 14 ]).”
Remarks on global regularity of 2D generalized MHD equations (2013, background): “(u0, b0) ∈ H s with s ≥ max{2α, 2β} if α ≥ 1 2 + d 4 and β ≥ 1 2 + d 4 [9].”
Regularity Criteria for the Generalized MHD Equations (2008, methodology): “Communications in Partial Differential Equations, 33: 285–306, 2008 Copyright © Taylor & Francis Group, LLC ISSN 0360-5302 print/1532-4133 online DOI: 10.1080/03605300701382530 Regularity Criteria for the Generalized MHDEquations JIAHONG WU Department of Mathematics, Oklahoma State University, Still”