Geodesic
Weak solution and asymptotic behavior of magnetohydrodynamic flows of third grade fluids
Xiaojuan Chai1 ; Weisheng Niu1
1School of Mathematical Sciences Anhui University Hefei 230601, China
Annales Polonici Mathematici, Tome 120 (2017) no. 1, pp. 1-31
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The paper in concerned with the large time behavior of a perturbed MHD system, which is given by the coupling of a class of third grade fluid equation and the Maxwell equation, governing the fluid motion and the magnetic field respectively. We first derive the existence and uniqueness result for the system. Then we prove the existence of a finite-dimensional global attractor and an exponential attractor.
DOI : 10.4064/ap4161-9-2017
Keywords: paper concerned large time behavior perturbed mhd system which given coupling class third grade fluid equation maxwell equation governing fluid motion magnetic field respectively first derive existence uniqueness result system prove existence finite dimensional global attractor exponential attractor

Xiaojuan Chai  1   ; Weisheng Niu  1

1 School of Mathematical Sciences Anhui University Hefei 230601, China 
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Xiaojuan Chai; Weisheng Niu. Weak solution and asymptotic behavior of magnetohydrodynamic flows of third grade fluids. Annales Polonici Mathematici, Tome 120 (2017) no. 1, pp. 1-31. doi: 10.4064/ap4161-9-2017

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