| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 2, April 2022
|
|
|---|---|---|
| Page(s) | 99 - 103 | |
| DOI | https://doi.org/10.1051/wujns/2022272099 | |
| Published online | 20 May 2022 | |
Mathematics
CLC number: O175.2
Regularity and Energy Conservation of the Nonhomogeneous Incompressible Ideal Magnetohydrodynamics Equations
1
College of Science, China Three Gorges University, Yichang
443002, Hubei, China
2
College of Science & Three Gorges Mathematical Research Center, China Three Gorges University, Yichang
443002, Hubei, China
† To whom correspondence should be addressed. E-mail: zhyp5208@163.com
Received:
24
December
2021
In this paper, we study the regularity and local energy equation of the weak solutions for nonhomogeneous incompressible ideal magnetohydrodynamics system. The conditions given on the regularity of solutions guarantee the energy to be conserved. The main method we have employed relies on the commutator estimates.
Key words: ideal magnetohydrodynamics (MHD) system / regularity / energy conservation
Biography: XIONG Jiajia, female, Master candidate, research direction: partial differential equations. E-mail: 752346766@qq.com
Foundation item: Supported by the National Natural Science Foundation of China (11871305, 11901346)
© Wuhan University 2022
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