Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (1): 237-244.doi: 10.1007/s10473-020-0116-x

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THE ENERGY CONSERVATIONS AND LOWER BOUNDS FOR POSSIBLE SINGULAR SOLUTIONS TO THE 3D INCOMPRESSIBLE MHD EQUATIONS

Jae-Myoung KIM   

  1. Department of Mathematics Education Andong National University, Andong, Republic of Korea
  • Received:2018-09-27 Revised:2019-03-04 Online:2020-02-25 Published:2020-04-14
  • Supported by:
    This work was supported by a Research Grant of Andong National University NRF-2015R1A5A1009350 and NRF-2016R1D1A1B03930422.

Abstract: In this note, we give a new proof to the energy conservation for the weak solutions of the incompressible 3D MHD equations. Moreover, we give the lower bounds for possible singular solutions to the incompressible 3D MHD equations.

Key words: MHD equation, lower bounds, incompressible

CLC Number: 

  • 35Q35
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