Regularity of global attractor for a 3D magnetohydrodynamic-α model

被引：5

作者：

Cung The Anh ^{[1
]}

Dang Thanh Son ^{[2
]}

Vu Manh Toi ^{[3
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Telecommun Univ, Fdn Sci Fac, 101 Mai Xuan Thuong, Nha Trang, Khanh Hoa, Vietnam

[3] Thuyloi Univ, Fac Comp Sci & Engn, 175 Tay Son, Hanoi, Vietnam

来源：

ANNALES POLONICI MATHEMATICI | 2017年 / 120卷 / 02期

关键词：

MHD-alpha model; Sobolev regularity; Gevrey regularity; parametrization by nodal values; GEVREY-CLASS REGULARITY; NAVIER-STOKES EQUATIONS; TIME DECAY-RATE; FINITE NUMBER; EXISTENCE; ANALYTICITY; QUESTIONS; BOUNDARY;

D O I：

10.4064/ap170505-18-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a 3D magnetohydrodynamic-alpha (MHD-alpha for short) model with periodic boundary conditions. Under suitable assumptions on the external force, we prove both Sobolev regularity and Gevrey regularity of the compact global attractor for the continuous semigroup associated to this model.

引用

页码：97 / 114

页数：18

共 35 条

[1] On questions of decay and existence for the viscous Camassa-Holm equations
Bjorland, Clayton
Schonbek, Maria E.
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 25 (05): : 907 - 936
[2] Global attractor and determining modes for a hyperbolic MHD turbulence Model
Catania, Davide
[J]. JOURNAL OF TURBULENCE, 2011, 12 (40): : 1 - 20
[3] Finite Dimensional Global Attractor for 3D MHD-α Models: A Comparison
Catania, Davide
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2012, 14 (01) : 95 - 115
[4] Catania D, 2010, COMMUN MATH SCI, V8, P1021
[5] Global well-posedness of weak solutions for the Lagrangian averaged Navier-Stokes equations on bounded domains
Coutand, D
Peirce, J
Shkoller, S
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2002, 1 (01) : 35 - 50
[6] On the regularity and convergence of solutions to the 3D Navier-Stokes-Voigt equations
Cung The Anh
Pham Thi Trang
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (04) : 601 - 615
[7] Regularity results on the Leray-alpha magnetohydrodynamics systems
Durga, K. C.
Yamazaki, Kazuo
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 32 : 178 - 197
[8] Global Cauchy Problem for the 2-D Magnetohydrodynamic-α Models with Partial Viscous Terms
Fan, Jishan
Ozawa, Tohru
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2010, 12 (02) : 306 - 319
[9] The three dimensional viscous camassa-holm equations, and their relation to the navier-stokes equations and turbulence theory
Foias C.
Holm D.D.
Titi E.S.
[J]. Journal of Dynamics and Differential Equations, 2002, 14 (1) : 1 - 35
[10] GEVREY CLASS REGULARITY FOR THE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
FOIAS, C
TEMAM, R
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 87 (02) : 359 - 369

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