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

Xiao-Ping Wang; Ya-Guang Wang; Zhouping Xin

doi:10.4310/cms.2010.v8.n4.a10

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 ◽

Cited By ~ 12

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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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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On the Vanishing Viscosity Limit of 3D Navier-Stokes Equations under Slip Boundary Conditions in General Domains

Communications in Mathematical Physics ◽

10.1007/s00220-012-1581-1 ◽

2012 ◽

Vol 316 (1) ◽

pp. 171-198 ◽

Cited By ~ 20

Author(s):

Luigi Carlo Berselli ◽

Stefano Spirito

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Slip Boundary ◽

Viscosity Limit

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On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions

Nonlinearity ◽

10.1088/0951-7715/11/6/011 ◽

1998 ◽

Vol 11 (6) ◽

pp. 1625-1636 ◽

Cited By ~ 121

Author(s):

Thierry Clopeau ◽

Andro Mikelic ◽

Raoul Robert

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit ◽

Type Boundary

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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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Vanishing viscosity limit of Navier-Stokes Equations in Gevrey class

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4378 ◽

2017 ◽

Vol 40 (14) ◽

pp. 5161-5176 ◽

Cited By ~ 1

Author(s):

Feng Cheng ◽

Wei-Xi Li ◽

Chao-Jiang Xu

Keyword(s):

Stokes Equations ◽

Gevrey Class ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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Remarks on recent advances concerning boundary effects and the vanishing viscosity limit of the Navier–Stokes equations

Partial Differential Equations in Fluid Mechanics ◽

10.1017/9781108610575.002 ◽

2018 ◽

pp. 1-19

Keyword(s):

Stokes Equations ◽

Boundary Effects ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Recent Advances ◽

Viscosity Limit

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Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass

Journal of Differential Equations ◽

10.1016/j.jde.2021.11.015 ◽

2021 ◽

Author(s):

Lin He ◽

Yong Wang

Keyword(s):

Total Mass ◽

Stokes Equations ◽

Finite Energy ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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Vanishing viscosity limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations with density-dependent viscosity

Communications in Mathematical Sciences ◽

10.4310/cms.2015.v13.n2.a11 ◽

2015 ◽

Vol 13 (2) ◽

pp. 477-495 ◽

Cited By ~ 2

Author(s):

Teng Wang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Density Dependent ◽

Viscosity Limit ◽

Dependent Viscosity

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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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Vanishing Viscosity Limit of the Compressible Navier--Stokes Equations with General Pressure Law

SIAM Journal on Mathematical Analysis ◽

10.1137/18m1224362 ◽

2019 ◽

Vol 51 (3) ◽

pp. 2168-2205 ◽

Cited By ~ 2

Author(s):

Matthew R. I. Schrecker ◽

Simon Schulz

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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