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Energy conservation for the compressible ideal Hall-MHD equations
AIMS Mathematics 2022, 7(9): 17150-17165
Published: 15 September 2022
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In this paper, we study the regularity and energy conservation of the weak solutions for compressible ideal Hall-magnetohydrodynamic (Hall-MHD) system, where ( t , x ) ( 0 , T ) × T d ( d 1 ). By exploring the special structure of the nonlinear terms in the model, we obtain the sufficient conditions for the regularity of the weak solutions for energy conservation. Our main strategy relies on commutator estimates.

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