Large-Time Behavior of Magnetohydrodynamics with Temperature-Dependent Coefficients

In this paper, we investigate the initial and boundary value problem of a planar magnetohydrodynamic system with temperature-dependent coefficients of transport, heat conductivity, and magnetic diffusivity coefficients. When all of the relative coefficients are exponentially related to the temperature, the existence and uniqueness of the global-in-time non-vacuum strong solutions are proven under some special assumptions. At the same time, the nonlinearly exponential stability of the solutions is obtained. In fact, the initial data could be large if the positive growth exponent of viscosity is small enough.

Weak-Strong Uniqueness for Compressible Magnetohydrodynamic Equations with Coulomb Force

In this paper, we consider the two-dimensional compressible magnetohydrodynamic system with Coulomb force. We apply the method of relative entropy to establish the weak-strong uniqueness property of this system.

Magnetohydrodynamic system -- a need for a sustainable power generation source

The magnetohydrodynamic generator is one of the renewable energy generation methods which is primarily based on the Faraday’s law of electromagnetic induction. This paper presents a detailed review about MHD -- its introduction and further advancement in its technology subsequently. An attempt has been made to make the reader understand the details about its operating principle. The MHD systems, being static, are much more efficient compared to conventional fossil fuel based generating systems. Also, these are more environment friendly as there are no emissions from the MHD generator. This paper also presents different types of MHD generators. The MHD generator can be considered to be a newest, efficient and reliable alternative to the conventional energy conversion system which would help to make a step forward towards the totally sustainable society. Figs 8, Refs 73.