GLOBAL WELL-POSEDNESS OF THE GENERALIZED ROTATING MAGNETOHYDRODYNAMICS EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV SPACES

Muhammad Zainul Abidin; Jiecheng Chen

doi:10.11948/20200030

2021 Volume 11 Issue 3

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Muhammad Zainul Abidin, Jiecheng Chen. GLOBAL WELL-POSEDNESS OF THE GENERALIZED ROTATING MAGNETOHYDRODYNAMICS EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV SPACES[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1177-1190. doi: 10.11948/20200030

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Muhammad Zainul Abidin, Jiecheng Chen. GLOBAL WELL-POSEDNESS OF THE GENERALIZED ROTATING MAGNETOHYDRODYNAMICS EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV SPACES[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1177-1190. doi: 10.11948/20200030

GLOBAL WELL-POSEDNESS OF THE GENERALIZED ROTATING MAGNETOHYDRODYNAMICS EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV SPACES

Muhammad Zainul Abidin^1, ,,
Jiecheng Chen¹

1.
College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China

Corresponding author: Email: mzainulabidin@zjnu.edu.cn, zainbs359@gmail.com (M. Z. Abidin)
Fund Project: The authors were supported by Zhejiang Normal University Postdoctoral Research fund under grant No. ZC304020909 and NSF of China (No. 12071437, 10271437)

Abstract

Abstract

In this paper we study the three dimensional incompressible generalized rotating magnetohydrodynamics equations. By using littlewood-Paley decomposition, we obtain the global well-posedness result for small initial data belong to critical variable exponent Fourier-Besov spaces $ \mathcal{F}\dot{\mathscr{B}}_{p(\cdot), q}^{4-2\alpha-\frac{3}{p(\cdot)}} $. This paper extends some recent work about generalized Navier-Stokes equations.
- Generalized rotating magnetohydrodynamics equations /
- global well-posedness /
- variable exponent Fourier-Besov spaces
MSC: 35Q30, 35Q86, 42B37

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References

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