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Magnetohydrodynamics (MHD) is becoming more popular every day among developers of applications based on microfluidics, such as “lab on a chip” (LOC) and/or “micro-total analysis systems” (micro-TAS). Its physical properties enable
Mónica Valenzuela-Delgado+6 more
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A well-posedness theory in Sobolev spaces for the stochastic magnetohydrodynamic equations in the whole space [PDF]
We prove the existence of a mild solution to the three dimensional incompressible stochastic magnetohydrodynamic equations in the whole space with the initial data which belong to the Sobolev spaces.
arxiv
Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations [PDF]
The compactness of weak solutions to the magnetohydrodynamic equations for the viscous, compressible, heat conducting fluids is considered in both the three-dimensional space $\R^3$ and the three-dimensional periodic domains. The viscosities, the heat conductivity as well as the magnetic coefficient are allowed to depend on the density, and may vanish ...
arxiv
Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions [PDF]
This paper is concerned with the incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions. It is rigorously shown that the weak solutions of the compressible magnetohydrodynamic equations converge to the strong solution of the viscous or inviscid incompressible magnetohydrodynamic equations as long as the
arxiv
An Example of One-Dimensional Oscillatory Motion in Magnetohydrodynamics [PDF]
Nobumichi Mugibayashi
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The unsteady magnetohydrodynamic flow of two immiscible fluids in a horizontal channel bounded by two parallel porous isothermal plates in the presence of an applied magnetic and electric field is investigated.
T. Linga Raju, M. Nagavalli
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Interaction of Magnetoacoustic and Entropy Waves with Normal Magnetohydrodynamic Shock Waves [PDF]
K. O. Westphal, J. F. McKenzie
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