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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 & Continuous Dynamical Systems  A, 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 & Continuous Dynamical Systems  A, 2019, 39 (6) : 34133441. doi: 10.3934/dcds.2019141 
[3] 
Muriel Boulakia, AnneClaire Egloffe, Céline Grandmont. Stability estimates for a Robin coefficient in the twodimensional Stokes system. Mathematical Control & 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 & Continuous Dynamical Systems  A, 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 & Continuous Dynamical Systems  S, 2020, 13 (2) : 329349. doi: 10.3934/dcdss.2020019 
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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 & Continuous Dynamical Systems  B, 2010, 13 (3) : 559575. doi: 10.3934/dcdsb.2010.13.559 
[7] 
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 
[8] 
Frederic Heihoff. Global masspreserving solutions for a twodimensional chemotaxis system with rotational flux components coupled with a full Navier–Stokes equation. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 00. doi: 10.3934/dcdsb.2020120 
[9] 
Thierry Gallay. Stability and interaction of vortices in twodimensional viscous flows. Discrete & Continuous Dynamical Systems  S, 2012, 5 (6) : 10911131. doi: 10.3934/dcdss.2012.5.1091 
[10] 
Tian Ma, Shouhong Wang. Block structure and block stability of twodimensional incompressible flows. Discrete & Continuous Dynamical Systems  B, 2006, 6 (1) : 169184. doi: 10.3934/dcdsb.2006.6.169 
[11] 
ChunHsiung Hsia, Tian Ma, Shouhong Wang. Bifurcation and stability of twodimensional doublediffusive convection. Communications on Pure & Applied Analysis, 2008, 7 (1) : 2348. doi: 10.3934/cpaa.2008.7.23 
[12] 
Qing Yi. On the Stokes approximation equations for twodimensional compressible flows. Kinetic & Related Models, 2013, 6 (1) : 205218. doi: 10.3934/krm.2013.6.205 
[13] 
Renjun Duan, Xiongfeng Yang. Stability of rarefaction wave and boundary layer for outflow problem on the twofluid NavierStokesPoisson equations. Communications on Pure & Applied Analysis, 2013, 12 (2) : 9851014. doi: 10.3934/cpaa.2013.12.985 
[14] 
Bingkang Huang, Lusheng Wang, Qinghua Xiao. Global nonlinear stability of rarefaction waves for compressible NavierStokes equations with temperature and density dependent transport coefficients. Kinetic & Related Models, 2016, 9 (3) : 469514. doi: 10.3934/krm.2016004 
[15] 
Yuming Qin, Lan Huang, Zhiyong Ma. Global existence and exponential stability in $H^4$ for the nonlinear compressible NavierStokes equations. Communications on Pure & Applied Analysis, 2009, 8 (6) : 19912012. doi: 10.3934/cpaa.2009.8.1991 
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Anna Amirdjanova, Jie Xiong. Large deviation principle for a stochastic navierStokes equation in its vorticity form for a twodimensional incompressible flow. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 651666. doi: 10.3934/dcdsb.2006.6.651 
[17] 
Qingshan Zhang, Yuxiang Li. Convergence rates of solutions for a twodimensional chemotaxisNavierStokes system. Discrete & Continuous Dynamical Systems  B, 2015, 20 (8) : 27512759. doi: 10.3934/dcdsb.2015.20.2751 
[18] 
Christian Lax, Sebastian Walcher. A note on global asymptotic stability of nonautonomous master equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (8) : 21432149. doi: 10.3934/dcdsb.2013.18.2143 
[19] 
Mehdi Badra, Fabien Caubet, Jérémi Dardé. Stability estimates for NavierStokes equations and application to inverse problems. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 23792407. doi: 10.3934/dcdsb.2016052 
[20] 
Jing Wang, Lining Tong. Stability of boundary layers for the inflow compressible NavierStokes equations. Discrete & Continuous Dynamical Systems  B, 2012, 17 (7) : 25952613. doi: 10.3934/dcdsb.2012.17.2595 
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