@article{Zhou2022, 
author = {Yanping Zhou and Xuemei Deng and Qunyi Bie and Lingping Kang},
title = {Energy conservation for the compressible ideal Hall-MHD equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {17150-17165},
keywords = {compressible ideal Hall-MHD system, regularity, energy conservation},
url = {https://www.sciopen.com/article/10.3934/math.2022944},
doi = {10.3934/math.2022944},
abstract = {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.}
}