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. It remains unknown whether or not smooth solutions of the 3D incompressible MHD equations can develop finite-time singularities. One major difficulty is due to the fact that the dissipation given by the Laplacian operator is insufficient to control the
Jiahong Wu
core
On the Inertial Range Bounds of K-41-like Magnetohydrodynamics Turbulence. [PDF]
Tegegn TA.
europepmc +1 more source
MHD Pulsatile Flow through a Porous Medium
This paper develops a mathematical model with an aim to compute the analytic solution for the MHD pulsatile flow driven by an unsteady pressure gradient between permeable beds of a viscous incompressible Newtonian fluid saturated porous medium.
Rajnish Kumar, B.G. Prasad
doaj
On weak-strong uniqueness property for full compressible magnetohydrodynamics flows
Yan Weiping
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Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
Proceedings of the Japan Academy Series A: Mathematical Sciences, 1982Shuichi Kawashima, Mari Okada
exaly
Detonation waves in a transverse magnetic field
Michigan Mathematical Journal, 2005A Aghajani, Abdolrahman Razani
exaly
Large-time behaviour of solutions to the magneto-hydrodynamics equations
Mathematische Annalen, 1996Endre Suli, Suli Endre
exaly
Existence of solution for a density-dependent magnetohydrodynamic equation
Advances in Differential Equations, 1997Jean-Frederic Gerbeau, C Le Bris
exaly
Remarks on a nonhomogeneous model of magnetohydrodynamics
Differential and Integral Equations, 1998C Le Bris
exaly

