WebAug 31, 2024 · 1. 2. In this paper, we study the energy equality for weak solutions to the 3D homogeneous incompressible magnetohydrodynamic equations with viscosity and magnetic diffusion in a bounded domain. Two types of regularity conditions are imposed on weak solutions to ensure the energy equality. For the first type, some global integrability … WebJun 1, 2024 · 1. Introduction. Magnetohydrodynamicpower (MHD) generation is based on Faraday’s law of electromagnetic induction, with the working fluid in this device being a …
Energy equality for weak solutions to the 3D …
It is reasonable to conjecture that the energy equality of MHD system may hold under other assumptions only on the velocity fields, since [12] showed regularity criteria with assumptions only on \mathbf {u}. Observations of space and laboratory plasmas [11] also support the opinion that an incompressible three … See more Let \mathbf {f},\mathbf {g}\in L^2(0,T;L^2(\Omega )) and (\mathbf {u},\mathbf {B})\in L^2(0,T;H_0^1(\mathrm{div}\,0,\Omega ))\times … See more ([27, Lemma 3.1]) Suppose that (\mathbf {u}(t),\mathbf {B}(t)) is a weak solution to MHD on time interval [0, T] with 0 WebMay 29, 2024 · Note on energy equality of MHD system Full-text available Article Feb 2024 Z ANGEW MATH PHYS Yong Zeng View Show abstract ... On the other hand, by (3) it is easy to see from (29) ... General... ont per ftth
On the energy equality for very weak solutions to 3D MHD …
WebApr 1, 2009 · A note on the energy conservation of the ideal MHD equations Authors: Xinwei Yu University of Alberta Request full-text Abstract By exploring the special structure of the … WebMHD can be described by a set of equations consisting of a continuity equation, an equation of motion, an equation of state, Ampère's Law, Faraday's law, and Ohm's law. As with any … WebMHD system have an additional Hall-effect term which is believed to be the key for understanding the problem of magnetic reconnection, as observed in space plas- mas, … ios won\\u0027t update on iphone