Energy conservation for the nonhomogeneous incompressible Hall-MHD equations in a bounded domain
Lingping Kang, Xuemei Deng, Yanping Zhou
Results in Applied Mathematics · 2021
doi:10.1016/j.rinam.2021.100178 (opens in a new tab)
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Abstract
In this paper, we study the energy conservation of the nonhomogeneous incompressible Hall-magnetohydrodynamic equations in a bounded domain Ω⊂Rdwith d=2,3. By exploring the special structure of the nonlinear terms in the Hall-magnetohydrodynamic equations, we obtain the sufficient conditions for the regularity of the weak solutions for energy conservation. The treatment of the boundary terms mainly relies on the coarea formula.
Abstract licence: CC BY-NC
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