A new boundary condition for the three-dimensional Navier-Stokes equation and the vanishing viscosity limit

Yuelong Xiao; Zhouping Xin

doi:10.1063/1.4762827

A new boundary condition for the three-dimensional Navier-Stokes equation and the vanishing viscosity limit

Journal of Mathematical Physics ◽

10.1063/1.4762827 ◽

2012 ◽

Vol 53 (11) ◽

pp. 115617 ◽

Cited By ~ 4

Author(s):

Yuelong Xiao ◽

Zhouping Xin

Keyword(s):

Boundary Condition ◽

Stokes Equation ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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VANISHING VISCOSITY LIMIT OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATION (ABSTRACT)

Functional-Analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations ◽

10.1142/9789812794550_0022 ◽

2001 ◽

pp. 248-249

Author(s):

K. ASANO

Keyword(s):

Stokes Equation ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit ◽

Incompressible Navier Stokes Equation

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Vanishing vertical viscosity limit of anisotropic Navier–Stokes equation with no-slip boundary condition

Journal of Differential Equations ◽

10.1016/j.jde.2018.06.001 ◽

2018 ◽

Vol 265 (9) ◽

pp. 4283-4310

Author(s):

Tao Tao

Keyword(s):

Boundary Condition ◽

Stokes Equation ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Slip Boundary ◽

Viscosity Limit

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A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit.

Journal of Partial Differential Equations ◽

10.4208/jpde.v30.n2.4 ◽

2017 ◽

Vol 30 (2) ◽

pp. 165-188

Author(s):

Wang Na

Keyword(s):

Boundary Condition ◽

Three Dimensional ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20187 ◽

2007 ◽

Vol 60 (7) ◽

pp. 1027-1055 ◽

Cited By ~ 113

Author(s):

Yuelong Xiao ◽

Zhouping Xin

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Slip Boundary ◽

Viscosity Limit

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The vanishing viscosity limit for a 2D Cahn–Hilliard–Navier–Stokes system with a slip boundary condition

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2012.09.003 ◽

2013 ◽

Vol 14 (2) ◽

pp. 1130-1134 ◽

Cited By ~ 14

Author(s):

Yong Zhou ◽

Jishan Fan

Keyword(s):

Boundary Condition ◽

Stokes System ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Slip Boundary ◽

Viscosity Limit

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Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equations with a slip boundary condition

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4443 ◽

2017 ◽

Vol 40 (16) ◽

pp. 5925-5932

Author(s):

Pengfei Chen ◽

Yuelong Xiao ◽

Hui Zhang

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Slip Boundary Condition ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Slip Boundary ◽

Viscosity Limit

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Uniform Regularity and Vanishing Viscosity Limit for the Compressible Navier--Stokes with General Navier-Slip Boundary Conditions in Three-Dimensional Domains

SIAM Journal on Mathematical Analysis ◽

10.1137/151003520 ◽

2015 ◽

Vol 47 (6) ◽

pp. 4123-4191 ◽

Cited By ~ 8

Author(s):

Yong Wang ◽

Zhouping Xin ◽

Yan Yong

Keyword(s):

Boundary Conditions ◽

Three Dimensional ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Navier Slip ◽

Slip Boundary ◽

Viscosity Limit ◽

Navier Slip Boundary Conditions

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Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier–Stokes Equations

Communications in Mathematical Physics ◽

10.1007/s00220-019-03580-8 ◽

2019 ◽

Vol 376 (1) ◽

pp. 353-384 ◽

Cited By ~ 1

Author(s):

Lin-An Li ◽

Dehua Wang ◽

Yi Wang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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Uniform regularity and vanishing viscosity limit for the chemotaxis-Navier-Stokes system in a 3D bounded domain

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4547 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7564-7597

Author(s):

Zhipeng Zhang

Keyword(s):

Bounded Domain ◽

Stokes System ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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Global regularity for a model of three-dimensional Navier–Stokes equation

Journal of Differential Equations ◽

10.1016/j.jde.2014.12.034 ◽

2015 ◽

Vol 258 (9) ◽

pp. 2969-2982 ◽

Cited By ~ 1

Author(s):

Keyan Wang

Keyword(s):

Stokes Equation ◽

Global Regularity ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equation

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