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 ◽

Download Full-text

Existence and uniqueness of solutions to the damped Navier–Stokes equations with Navier boundary conditions for three dimensional incompressible fluid

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-020-01437-1 ◽

2020 ◽

Author(s):

Subha Pal ◽

Rajib Haloi

Keyword(s):

Boundary Conditions ◽

Incompressible Fluid ◽

Existence And Uniqueness ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Uniqueness Of Solutions ◽

Navier Stokes Equations ◽

Navier Boundary Conditions

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

An elementary approach to the inviscid limits for the 3D Navier–Stokes equations with slip boundary conditions and applications to the 3D Boussinesq equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-013-0242-1 ◽

2013 ◽

Vol 21 (2) ◽

pp. 149-166 ◽

Author(s):

Luigi C. Berselli ◽

Stefano Spirito

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Boussinesq Equations ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Elementary Approach ◽

Navier Stokes Equations ◽

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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

Download Full-text

A study of the Navier-Stokes equations with the kinematic and Navier boundary conditions

Indiana University Mathematics Journal ◽

10.1512/iumj.2010.59.3898 ◽

2010 ◽

Vol 59 (2) ◽

pp. 721-760 ◽

Author(s):

Gui-Qiang Chen ◽

Zhongmin Qian

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Navier Boundary Conditions

Download Full-text