Global attractor of 2D autonomous g-Navier-Stokes equations

doi:10.1007/s10483-013-1678-7

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (3): 385-394.doi: https://doi.org/10.1007/s10483-013-1678-7

• Articles • Previous Articles

Global attractor of 2D autonomous g-Navier-Stokes equations

Jin-ping JIANG, Xiao-xia WANG

College of Computer, Yan’an University, Yan’an 716000, Shaanxi Province, P. R. China

Received:2011-09-26 Revised:2012-08-02 Online:2013-03-03 Published:2013-02-06
Contact: Jin-ping JIANG, Ph.D., E-mail: yadxjjp@163.com E-mail:yadxjjp@163.com

Abstract

Abstract: In this paper, the existence of global attractors for the 2D autonomous g-Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the Hausdorff dimensions for global attractors is given.

Key words: microchannel, electric double layer, electroosmosis, Joule heating effect, semigroup, Hausdorff dimension, global attractor, multi-connected bounded domain, g-Navier-Stokes equation, bounded absorbing set

Jin-ping JIANG;Xiao-xia WANG. Global attractor of 2D autonomous g-Navier-Stokes equations. Applied Mathematics and Mechanics (English Edition), 2013, 34(3): 385-394.

TrendMD

[1]	Zhaodong DING, Kai TIAN, Yongjun JIAN. Electrokinetic flow and energy conversion in a curved microtube [J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(8): 1289-1306.
[2]	T. SIVA, S. JANGILI, B. KUMBHAKAR. Heat transfer analysis of MHD and electroosmotic flow of non-Newtonian fluid in a rotating microfluidic channel: an exact solution [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(7): 1047-1062.
[3]	J. R. FERNÁNDEZ, R. QUINTANILLA. Moore-Gibson-Thompson theory for thermoelastic dielectrics [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(2): 309-316.
[4]	Yongbo LIU, Yongjun JIAN. Electromagnetohydrodynamic flows and mass transport in curved rectangular microchannels [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(9): 1431-1446.
[5]	A. SALEEM, M. N. KIANI, S. NADEEM, A. ISSAKHOV. Heat transfer and Helmholtz-Smoluchowski velocity in Bingham fluid flow [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(8): 1167-1178.
[6]	S. SINDHU, B. J. GIREESHA. Flow of colloidal suspension and irreversibility analysis with aggregation kinematics of nanoparticles in a microchannel [J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(11): 1671-1684.
[7]	M. MADHU, N. S. SHASHIKUMAR, B. MAHANTHESH, B. J. GIREESHA, N. KISHAN. Heat transfer and entropy generation analysis of non-Newtonian fluid flow through vertical microchannel with convective boundary condition [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(9): 1285-1300.
[8]	Yongbo LIU, Yongjun JIAN. Rotating electroosmotic flows in soft parallel plate microchannels [J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(7): 1017-1028.
[9]	M. PERALTA, O. BAUTISTA, F. MÉNDEZ, E. BAUTISTA. Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials [J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(5): 667-684.
[10]	Hang XU, I. POP, Q. SUN. Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects [J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(3): 395-408.
[11]	Zhen TAN;Hai-tao QI;Xiao-yun JIANG. Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 689-696.
[12]	GUO Chang-Hong;FANG Shao-Mei;GUO Bai-Ling. Long time behavior of solutions to coupled Burgers-complex Ginzbury-Landau (Burgers-CGL) equations for flames governed by sequential reaction [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(4): 515-534.
[13]	Bo CHEN;Han CHEN;Jian-kang WU. Thickness-averaged model for numerical simulation of electroosmotic flow in three-dimensional microfluidic chips [J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(3): 297-308.
[14]	Yan-feng GUO;Bo-ling GUO;Dong-long LI. Asymptotic behaviors of solutions for dissipative quantum Zakharov equations [J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(4): 511-524.
[15]	Hui CHEN;Ji-teng GUAN;Wen-jing FANG . Microscopic mechanism of periodical electroosmosis in reservoir rocks [J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(10): 1275-1286.

Global attractor of 2D autonomous g-Navier-Stokes equations

PDF

Knowledge

Cited

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments