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Global regularity for 2D fractional magneto-micropolar equations
- Source :
- Mathematische Zeitschrift. 297:775-802
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- The magneto-micropolar equations are important models in fluid mechanics and material sciences. This paper focuses on the global regularity problem on the 2D magneto-micropolar equations with fractional dissipation. We establish the global regularity for three important fractional dissipation cases. Direct energy estimates are not sufficient to obtain the desired global a priori bounds in each case. To overcome the difficulties, we employ various technics including the regularization of generalized heat operators on the Fourier frequency localized functions, logarithmic Sobolev interpolation inequalities and the maximal regularity property of the heat operator.
- Subjects :
- Logarithm
General Mathematics
010102 general mathematics
Fluid mechanics
Dissipation
01 natural sciences
Sobolev space
symbols.namesake
Fourier transform
Operator (computer programming)
Regularization (physics)
0103 physical sciences
symbols
A priori and a posteriori
Applied mathematics
010307 mathematical physics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 14321823 and 00255874
- Volume :
- 297
- Database :
- OpenAIRE
- Journal :
- Mathematische Zeitschrift
- Accession number :
- edsair.doi...........dd2204e7a5556e3a21a9f8dcf69bcbbe