Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 72, Issue 3, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-021-01543-5
Keywords
MHD equations; Regularity criterion; A priori estimates
Categories
Funding
- Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University, Saudi Arabia [20-13-12-020]
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This paper establishes an improved regularity criterion for weak solutions of 3D incompressible MHD equations, showing that weak solutions are regular under certain conditions. This improvement builds upon previous works in the field.
This paper devotes to establish an improved regularity criterion for weak solution of 3D incompressible MHD equations. We show that the weak solution is regular, provided that integral(T)(0) parallel to pi(,t)parallel to(2)(B infinity,infinity-1)/(e + ln(e + parallel to pi(,t)parallel to(B infinity,infinity-1))) ln (e+ln(e+parallel to pi(,t)parallel to(B infinity,infinity-1))) dt < infinity. As a consequence, this improves some previous works.
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