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Stability of stationary solutions of the forced NavierStokes equations on the twotorus
1.  Department of Physics, University of Toronto, 60 St. George Street, Toronto, ON, Canada M5S 1A7, Canada, Canada, Canada 
[1] 
Gabriela Planas, Eduardo Hernández. Asymptotic behaviour of twodimensional timedelayed NavierStokes equations. Discrete and Continuous Dynamical Systems, 2008, 21 (4) : 12451258. doi: 10.3934/dcds.2008.21.1245 
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Laiqing Meng, Jia Yuan, Xiaoxin Zheng. Global existence of almost energy solution to the twodimensional chemotaxisNavierStokes equations with partial diffusion. Discrete and Continuous Dynamical Systems, 2019, 39 (6) : 34133441. doi: 10.3934/dcds.2019141 
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Muriel Boulakia, AnneClaire Egloffe, Céline Grandmont. Stability estimates for a Robin coefficient in the twodimensional Stokes system. Mathematical Control and Related Fields, 2013, 3 (1) : 2149. doi: 10.3934/mcrf.2013.3.21 
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Fei Jiang, Song Jiang, Junpin Yin. Global weak solutions to the twodimensional NavierStokes equations of compressible heatconducting flows with symmetric data and forces. Discrete and Continuous Dynamical Systems, 2014, 34 (2) : 567587. doi: 10.3934/dcds.2014.34.567 
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Yulan Wang. Global solvability in a twodimensional selfconsistent chemotaxisNavierStokes system. Discrete and Continuous Dynamical Systems  S, 2020, 13 (2) : 329349. doi: 10.3934/dcdss.2020019 
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CuiPing Cheng, RuoFan An. Global stability of traveling wave fronts in a twodimensional lattice dynamical system with global interaction. Electronic Research Archive, 2021, 29 (5) : 35353550. doi: 10.3934/era.2021051 
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CuiPing Cheng, WanTong Li, ZhiCheng Wang. Asymptotic stability of traveling wavefronts in a delayed population model with stage structure on a twodimensional spatial lattice. Discrete and Continuous Dynamical Systems  B, 2010, 13 (3) : 559575. doi: 10.3934/dcdsb.2010.13.559 
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Shuichi Kawashima, Shinya Nishibata, Masataka Nishikawa. Asymptotic stability of stationary waves for twodimensional viscous conservation laws in half plane. Conference Publications, 2003, 2003 (Special) : 469476. doi: 10.3934/proc.2003.2003.469 
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Frederic Heihoff. Global masspreserving solutions for a twodimensional chemotaxis system with rotational flux components coupled with a full Navier–Stokes equation. Discrete and Continuous Dynamical Systems  B, 2020, 25 (12) : 47034719. doi: 10.3934/dcdsb.2020120 
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Thierry Gallay. Stability and interaction of vortices in twodimensional viscous flows. Discrete and Continuous Dynamical Systems  S, 2012, 5 (6) : 10911131. doi: 10.3934/dcdss.2012.5.1091 
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ChunHsiung Hsia, Tian Ma, Shouhong Wang. Bifurcation and stability of twodimensional doublediffusive convection. Communications on Pure and Applied Analysis, 2008, 7 (1) : 2348. doi: 10.3934/cpaa.2008.7.23 
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Tian Ma, Shouhong Wang. Block structure and block stability of twodimensional incompressible flows. Discrete and Continuous Dynamical Systems  B, 2006, 6 (1) : 169184. doi: 10.3934/dcdsb.2006.6.169 
[13] 
Robin Ming Chen, Feimin Huang, Dehua Wang, Difan Yuan. On the stability of twodimensional nonisentropic elastic vortex sheets. Communications on Pure and Applied Analysis, 2021, 20 (7&8) : 25192533. doi: 10.3934/cpaa.2021083 
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Vu Manh Toi. Stability and stabilization for the threedimensional NavierStokesVoigt equations with unbounded variable delay. Evolution Equations and Control Theory, 2021, 10 (4) : 10071023. doi: 10.3934/eect.2020099 
[15] 
Qing Yi. On the Stokes approximation equations for twodimensional compressible flows. Kinetic and Related Models, 2013, 6 (1) : 205218. doi: 10.3934/krm.2013.6.205 
[16] 
Renjun Duan, Xiongfeng Yang. Stability of rarefaction wave and boundary layer for outflow problem on the twofluid NavierStokesPoisson equations. Communications on Pure and Applied Analysis, 2013, 12 (2) : 9851014. doi: 10.3934/cpaa.2013.12.985 
[17] 
Bingkang Huang, Lusheng Wang, Qinghua Xiao. Global nonlinear stability of rarefaction waves for compressible NavierStokes equations with temperature and density dependent transport coefficients. Kinetic and Related Models, 2016, 9 (3) : 469514. doi: 10.3934/krm.2016004 
[18] 
Yuming Qin, Lan Huang, Zhiyong Ma. Global existence and exponential stability in $H^4$ for the nonlinear compressible NavierStokes equations. Communications on Pure and Applied Analysis, 2009, 8 (6) : 19912012. doi: 10.3934/cpaa.2009.8.1991 
[19] 
Qingshan Zhang, Yuxiang Li. Convergence rates of solutions for a twodimensional chemotaxisNavierStokes system. Discrete and Continuous Dynamical Systems  B, 2015, 20 (8) : 27512759. doi: 10.3934/dcdsb.2015.20.2751 
[20] 
Anna Amirdjanova, Jie Xiong. Large deviation principle for a stochastic navierStokes equation in its vorticity form for a twodimensional incompressible flow. Discrete and Continuous Dynamical Systems  B, 2006, 6 (4) : 651666. doi: 10.3934/dcdsb.2006.6.651 
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