Abstract
In this paper, we study the energy conservation of the nonhomogeneous incompressible Hall-magnetohydrodynamic equations in a bounded domain Ω⊂Rd with 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.
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