Stability of two-dimensional solutions to the Navier–Stokes equations in cylindrical domains under Navier boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.05.059 ◽

2016 ◽

Vol 444 (1) ◽

pp. 275-297 ◽

Author(s):

W.M. Zaja̧czkowski

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Navier Boundary Conditions ◽

Cylindrical Domains

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Stability for two-dimensional plane Couette flow to the incompressible Navier–Stokes equations with Navier boundary conditions

Communications in Mathematical Sciences ◽

10.4310/cms.2020.v18.n5.a4 ◽

2020 ◽

Vol 18 (5) ◽

pp. 1233-1258

Author(s):

Shijin Ding ◽

Zhilin Lin

Keyword(s):

Boundary Conditions ◽

Couette Flow ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Plane Couette Flow ◽

Navier Stokes Equations ◽

Navier Boundary Conditions ◽

Dimensional Plane

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Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit

Communications in Mathematical Sciences ◽

10.4310/cms.2010.v8.n4.a10 ◽

2010 ◽

Vol 8 (4) ◽

pp. 965-998 ◽

Author(s):

Xiao-Ping Wang ◽

Ya-Guang Wang ◽

Zhouping Xin

Keyword(s):

Boundary Conditions ◽

Boundary Layers ◽

Stokes Equations ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Navier Boundary Conditions ◽

Viscosity Limit

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An elementary approach to the 3D Navier-Stokes equations with Navier boundary conditions: Existence and uniqueness of various classes of solutions in the flat boundary case.

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2010.3.199 ◽

2010 ◽

Vol 3 (2) ◽

pp. 199-219 ◽

Author(s):

Luigi C. Berselli ◽

Keyword(s):

Boundary Conditions ◽

Existence And Uniqueness ◽

Stokes Equations ◽

Navier Stokes ◽

Elementary Approach ◽

Navier Stokes Equations ◽

Navier Boundary Conditions ◽

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Navier-Stokes equations in thin 3D domains with Navier boundary conditions

Indiana University Mathematics Journal ◽

10.1512/iumj.2007.56.2834 ◽

2007 ◽

Vol 56 (3) ◽

pp. 1083-1156 ◽

Author(s):

Dragos Iftimie ◽

Genevieve Raugel ◽

George R. Sell

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Navier Boundary Conditions

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Geometric regularity criteria for incompressible Navier–Stokes equations with Navier boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2019.06.003 ◽

2019 ◽

Vol 188 ◽

pp. 202-235 ◽

Author(s):

Siran Li

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Regularity Criteria ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Navier Boundary Conditions ◽

Geometric Regularity

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Exact internal controllability for the two-dimensional Navier–Stokes equations with the Navier slip boundary conditions

Systems & Control Letters ◽

10.1016/j.sysconle.2006.06.015 ◽

2006 ◽

Vol 55 (12) ◽

pp. 1022-1028 ◽

Author(s):

Teodor Havârneanu ◽

Cătălin Popa ◽

S.S. Sritharan

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

Navier Slip ◽

Slip Boundary ◽

Navier Slip Boundary Conditions

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Numerical simulations for two-dimensional incompressible Navier-Stokes equations with stochastic boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20456 ◽

2009 ◽

Vol 26 (3) ◽

pp. 662-674

Author(s):

Junxiang Lu ◽

Yichen Ma ◽

Fande Kong

Keyword(s):

Boundary Conditions ◽

Numerical Simulations ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Stochastic Boundary

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Navier–Stokes Equations with Navier Boundary Conditions for an Oceanic Model

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-010-9189-7 ◽

2010 ◽

Vol 22 (3) ◽

pp. 563-616 ◽

Author(s):

Luan T. Hoang ◽

George R. Sell

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Navier Boundary Conditions ◽

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Navier--Stokes Equations with Navier Boundary Conditions for a Bounded Domain in the Plane

SIAM Journal on Mathematical Analysis ◽

10.1137/040612336 ◽

2006 ◽

Vol 38 (1) ◽

pp. 210-232 ◽

Author(s):

James P. Kelliher

Keyword(s):

Boundary Conditions ◽

Bounded Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Navier Boundary Conditions

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Vanishing viscosity limit for incompressible Navier-Stokes equations with Navier boundary conditions for small slip length

Journal of Mathematical Physics ◽

10.1063/1.5004975 ◽

2017 ◽

Vol 58 (10) ◽

pp. 101507

Author(s):

Ya-Guang Wang ◽

Jierong Yin ◽

Shiyong Zhu

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Slip Length ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Navier Boundary Conditions ◽

Viscosity Limit

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