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Regularity and energy conservation for compressible isentropic magnetohydrodynamic equations
Author(s) -
Wu Zhonger,
Tan Zhong
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6757
Subject(s) - isentropic process , magnetohydrodynamic drive , mathematics , compressibility , magnetohydrodynamics , space (punctuation) , mathematical analysis , conservation law , energy (signal processing) , energy conservation , mechanics , physics , magnetic field , computer science , ecology , quantum mechanics , biology , statistics , operating system
In this paper, we mainly study the local energy equation of the weak solutions of the compressible isentropic MHD equation defined on 3 . We prove that the regularity of the solution is sufficient to guarantee the balance of the total energy in theB 3 α , ∞ ( ( 0 , T ) × 3 ) space. We adopt a variant of the method of Feireisl et al.
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