Journal of the Korean Society for Industrial and Applied Mathematics

  • 제26권2호
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  • Pages.76-107
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  • 2022
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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EXISTENCE AND DECAY PROPERTIES OF WEAK SOLUTIONS TO THE INHOMOGENEOUS HALL-MAGNETOHYDRODYNAMIC EQUATIONS

  • HAN, PIGONG (ACADEMY OF MATHEMATICS AND SYSTEMS SCIENCE, CHINESE ACADEMY OF SCIENCES) ;
  • LEI, KEKE (ACADEMY OF MATHEMATICS AND SYSTEMS SCIENCE, CHINESE ACADEMY OF SCIENCES) ;
  • LIU, CHENGGANG (SCHOOL OF STATISTICS AND MATHEMATICS, ZHONGNAN UNIVERSITY OF ECONOMICS AND LAW) ;
  • WANG, XUEWEN (ACADEMY OF MATHEMATICS AND SYSTEMS SCIENCE, CHINESE ACADEMY OF SCIENCES)
  • 투고 : 2022.05.04
  • 심사 : 2022.06.10
  • 발행 : 2022.06.25
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초록

In this paper, we study the temporal decay of global weak solutions to the inhomogeneous Hall-magnetohydrodynamic (Hall-MHD) equations. First, an approximation problem and its weak solutions are obtained via the Caffarelli-Kohn-Nirenberg retarded mollification technique. Then, we prove that the approximate solutions satisfy uniform decay estimates. Finally, using the weak convergence method, we construct weak solutions with optimal decay rates to the inhomogeneous Hall-MHD equations.

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과제정보

This work is supported by the National Key R&D Program of China (2021YFA1000800), the National Natural Science Foundation of China under Grant No. 11871457, the K.C.Wong Education Foundation, Chinese Academy of Sciences.

참고문헌

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