A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM
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[1] Takaaki Nishida,et al. Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids , 1983 .
[2] J. Fan,et al. Global variational solutions to the compressible magnetohydrodynamic equations , 2008 .
[3] J. Serrin. On the interior regularity of weak solutions of the Navier-Stokes equations , 1962 .
[4] S. Kawashima,et al. Magnetohydrodynamic approximation of the complete equations for an electromagnetic fluid , 1986 .
[5] GLOBAL WEAK SOLUTIONS OF AN INITIAL BOUNDARY VALUE PROBLEM FOR SCREW PINCHES IN PLASMA PHYSICS , 2009 .
[6] Cheng He,et al. On the regularity criteria for weak solutions to the magnetohydrodynamic equations , 2007 .
[7] J. Freidberg. Ideal magnetohydrodynamic theory of magnetic fusion systems , 1982 .
[8] Antonín Novotný,et al. Introduction to the mathematical theory of compressible flow , 2004 .
[9] Chao Wang,et al. A Beale-Kato-Majda Blow-up criterion for the 3-D compressible Navier-Stokes equations , 2010, 1001.1247.
[10] Gui-Qiang G. Chen,et al. Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data , 2002 .
[11] Tosio Kato,et al. Remarks on the breakdown of smooth solutions for the 3-D Euler equations , 1984 .
[12] H. Triebel. Interpolation Theory, Function Spaces, Differential Operators , 1978 .
[13] Song Jiang,et al. Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Periodic Boundary Conditions , 2009, 1010.5296.
[14] David Hoff,et al. Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data , 1995 .
[15] S. Kawashima,et al. Smooth global solutions for the one-dimensional equations in magnetohydrodynamics , 1982 .
[16] Song Jiang,et al. Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations , 2007 .
[17] Zhouping Xin,et al. Blowup Criterion for Viscous Baratropic Flows with Vacuum States , 2010, 1004.5469.
[18] Dehua Wang,et al. Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows , 2009, SIAM J. Math. Anal..
[19] Xianpeng Hu,et al. Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows , 2008, 0804.4510.
[20] Zhouping Xin,et al. Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations , 2010, 1004.4749.
[21] S. Kawashima. Smooth global solutions for two-dimensional equations of electro-magneto-fluid dynamics , 1984 .
[22] D. Gurnett,et al. Introduction to Plasma Physics: Introduction , 2005 .
[23] S. Kawashima,et al. On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics , 1984 .
[24] A blow-up criterion for compressible viscous heat-conductive flows , 2010, 1006.2429.
[25] E. Feireisl,et al. The Equations of Magnetohydrodynamics: On the Interaction Between Matter and Radiation in the Evolution of Gaseous Stars , 2006 .
[26] E. Feireisl,et al. On the Existence of Globally Defined Weak Solutions to the Navier—Stokes Equations , 2001 .
[27] O. Rozanova. Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations , 2008, 0804.1549.
[28] Xianpeng Hu,et al. Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows , 2009, 0904.3587.
[29] V. V. Shelukhin,et al. Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas: PMM vol. 41, n≗ 2, 1977, pp. 282–291 , 1977 .
[30] Jing Li,et al. Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows , 2010, SIAM J. Math. Anal..
[31] Xianpeng Hu,et al. Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations , 2008, 0904.3589.
[32] Dehua Wang,et al. Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics , 2003, SIAM J. Appl. Math..
[33] Gui-Qiang G. Chen,et al. Existence and continuous dependence of large solutions for the magnetohydrodynamic equations , 2003 .
[34] Takaaki Nishida,et al. The initial value problem for the equations of motion of viscous and heat-conductive gases , 1980 .
[35] Junning Zhao,et al. Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics , 2010 .
[36] J. Fan,et al. Strong solution to the compressible magnetohydrodynamic equations with vacuum , 2009 .