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Fully discrete finite element method for the viscoelastic fluid motion equations
1.  Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China, China 
2.  Faculty of Science, Xi'an Jiaotong University, Xi'an 710049 
[1] 
Kun Wang, Yangping Lin, Yinnian He. Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid. Discrete & Continuous Dynamical Systems  A, 2012, 32 (2) : 657677. doi: 10.3934/dcds.2012.32.657 
[2] 
Yang Liu. Longtime behavior of a class of viscoelastic plate equations. Electronic Research Archive, 2020, 28 (1) : 311326. doi: 10.3934/era.2020018 
[3] 
Kun Wang, Yinnian He, Yanping Lin. Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows. Discrete & Continuous Dynamical Systems  B, 2012, 17 (5) : 15511573. doi: 10.3934/dcdsb.2012.17.1551 
[4] 
Yingwen Guo, Yinnian He. Fully discrete finite element method based on secondorder CrankNicolson/AdamsBashforth scheme for the equations of motion of Oldroyd fluids of order one. Discrete & Continuous Dynamical Systems  B, 2015, 20 (8) : 25832609. doi: 10.3934/dcdsb.2015.20.2583 
[5] 
Vladimir Varlamov. Eigenfunction expansion method and the longtime asymptotics for the damped Boussinesq equation. Discrete & Continuous Dynamical Systems  A, 2001, 7 (4) : 675702. doi: 10.3934/dcds.2001.7.675 
[6] 
Xianpeng Hu, Hao Wu. Longtime behavior and weakstrong uniqueness for incompressible viscoelastic flows. Discrete & Continuous Dynamical Systems  A, 2015, 35 (8) : 34373461. doi: 10.3934/dcds.2015.35.3437 
[7] 
Yuguo Lin, Daqing Jiang. Longtime behaviour of a perturbed SIR model by white noise. Discrete & Continuous Dynamical Systems  B, 2013, 18 (7) : 18731887. doi: 10.3934/dcdsb.2013.18.1873 
[8] 
Nguyen Huu Du, Nguyen Thanh Dieu. Longtime behavior of an SIR model with perturbed disease transmission coefficient. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 34293440. doi: 10.3934/dcdsb.2016105 
[9] 
Lingbing He, Claude Le Bris, Tony Lelièvre. Periodic longtime behaviour for an approximate model of nematic polymers. Kinetic & Related Models, 2012, 5 (2) : 357382. doi: 10.3934/krm.2012.5.357 
[10] 
Elena Bonetti, Giovanna Bonfanti, Riccarda Rossi. Longtime behaviour of a thermomechanical model for adhesive contact. Discrete & Continuous Dynamical Systems  S, 2011, 4 (2) : 273309. doi: 10.3934/dcdss.2011.4.273 
[11] 
Nataliia V. Gorban, Olha V. Khomenko, Liliia S. Paliichuk, Alla M. Tkachuk. Longtime behavior of state functions for climate energy balance model. Discrete & Continuous Dynamical Systems  B, 2017, 22 (5) : 18871897. doi: 10.3934/dcdsb.2017112 
[12] 
A. Kh. Khanmamedov. Longtime behaviour of doubly nonlinear parabolic equations. Communications on Pure & Applied Analysis, 2009, 8 (4) : 13731400. doi: 10.3934/cpaa.2009.8.1373 
[13] 
Chang Zhang, Fang Li, Jinqiao Duan. Longtime behavior of a class of nonlocal partial differential equations. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 749763. doi: 10.3934/dcdsb.2018041 
[14] 
Hongtao Li, Shan Ma, Chengkui Zhong. Longtime behavior for a class of degenerate parabolic equations. Discrete & Continuous Dynamical Systems  A, 2014, 34 (7) : 28732892. doi: 10.3934/dcds.2014.34.2873 
[15] 
A. Kh. Khanmamedov. Longtime behaviour of wave equations with nonlinear interior damping. Discrete & Continuous Dynamical Systems  A, 2008, 21 (4) : 11851198. doi: 10.3934/dcds.2008.21.1185 
[16] 
H. A. Erbay, S. Erbay, A. Erkip. Longtime existence of solutions to nonlocal nonlinear bidirectional wave equations. Discrete & Continuous Dynamical Systems  A, 2019, 39 (5) : 28772891. doi: 10.3934/dcds.2019119 
[17] 
Shan Ma, Chunyou Sun. Longtime behavior for a class of weighted equations with degeneracy. Discrete & Continuous Dynamical Systems  A, 2020, 40 (3) : 18891902. doi: 10.3934/dcds.2020098 
[18] 
Tamara Fastovska. Longtime behaviour of a radially symmetric fluidshell interaction system. Discrete & Continuous Dynamical Systems  A, 2018, 38 (3) : 13151348. doi: 10.3934/dcds.2018054 
[19] 
Caterina Calgaro, Meriem Ezzoug, Ezzeddine Zahrouni. Stability and convergence of an hybrid finite volumefinite element method for a multiphasic incompressible fluid model. Communications on Pure & Applied Analysis, 2018, 17 (2) : 429448. doi: 10.3934/cpaa.2018024 
[20] 
Manuel Núñez. The longtime evolution of mean field magnetohydrodynamics. Discrete & Continuous Dynamical Systems  B, 2004, 4 (2) : 465478. doi: 10.3934/dcdsb.2004.4.465 
2018 Impact Factor: 1.008
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