A Kato type theorem on zero viscosity limit of Navier-Stokes flows

Xiaoming Wang

doi:10.1512/iumj.2001.50.2098

A Kato type theorem on zero viscosity limit of Navier-Stokes flows

Indiana University Mathematics Journal ◽

10.1512/iumj.2001.50.2098 ◽

2001 ◽

Vol 50 (1) ◽

pp. 223-241 ◽

Cited By ~ 54

Author(s):

Xiaoming Wang

Keyword(s):

Type Theorem ◽

Navier Stokes ◽

Stokes Flows ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Remarks on Zero Viscosity Limit for Nonstationary Navier- Stokes Flows with Boundary

Mathematical Sciences Research Institute Publications - Seminar on Nonlinear Partial Differential Equations ◽

10.1007/978-1-4612-1110-5_6 ◽

1984 ◽

pp. 85-98 ◽

Cited By ~ 61

Author(s):

Tosio Kato

Keyword(s):

Navier Stokes ◽

Stokes Flows ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Example of zero viscosity limit for two dimensional nonstationary Navier-Stokes flows with boundary

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167219 ◽

1994 ◽

Vol 11 (1) ◽

pp. 155-170 ◽

Cited By ~ 22

Author(s):

Shin’ya Matsui

Keyword(s):

Navier Stokes ◽

Two Dimensional ◽

Stokes Flows ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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A Kato-type criterion for the zero-viscosity limit of the incompressible Navier-Stokes flows with vortex sheets data

Proceedings of the American Mathematical Society ◽

10.1090/proc/14160 ◽

2018 ◽

pp. 1

Author(s):

Franck Sueur

Keyword(s):

Navier Stokes ◽

Stokes Flows ◽

Vortex Sheets ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Type Criterion ◽

Zero Viscosity

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Note on an example of a zero viscosity limit for Navier-Stokes flows with the initial boundary layer in the disk

Letters in Mathematical Physics ◽

10.1007/bf00750962 ◽

1993 ◽

Vol 29 (4) ◽

pp. 281-286

Author(s):

Shin'ya Matsui

Keyword(s):

Boundary Layer ◽

Initial Boundary ◽

Navier Stokes ◽

Stokes Flows ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Boundary Layer Theory and the Zero-Viscosity Limit of the Navier-Stokes Equation

Acta Mathematica Sinica English Series ◽

10.1007/s101140000034 ◽

2000 ◽

Vol 16 (2) ◽

pp. 207-218 ◽

Cited By ~ 71

Author(s):

E Weinan

Keyword(s):

Boundary Layer ◽

Stokes Equation ◽

Boundary Layer Theory ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Zero-Viscosity Limit of the Linearized Compressible Navier-Stokes Equations with Highly Oscillatory Forces in the Half-Plane

SIAM Journal on Mathematical Analysis ◽

10.1137/040614967 ◽

2005 ◽

Vol 37 (4) ◽

pp. 1256-1298 ◽

Cited By ~ 19

Author(s):

Ya-Guang Wang ◽

Zhouping Xin

Keyword(s):

Half Plane ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Highly Oscillatory ◽

Zero Viscosity

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Zero-Viscosity Limit of the Navier–Stokes Equations in a Simply-Connected Bounded Domain Under the Analytic Setting

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0471-0 ◽

2019 ◽

Vol 22 (1) ◽

Author(s):

Chao Wang ◽

Yuxi Wang

Keyword(s):

Bounded Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Simply Connected ◽

Zero Viscosity

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Zero-Viscosity Limit of the Navier–Stokes Equations in the Analytic Setting

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-017-1083-6 ◽

2017 ◽

Vol 224 (2) ◽

pp. 555-595 ◽

Cited By ~ 14

Author(s):

Chao Wang ◽

Yuxi Wang ◽

Zhifei Zhang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Boundary Layer Theory and the Zero-Viscosity Limit of the Navier-Stokes Equation

Acta Mathematica Sinica English Series ◽

10.1007/s101140050015 ◽

2000 ◽

Vol 16 (2) ◽

pp. 207-218 ◽

Cited By ~ 2

Author(s):

E. Weinan

Keyword(s):

Boundary Layer ◽

Stokes Equation ◽

Boundary Layer Theory ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.018 ◽

2020 ◽

Vol 268 (10) ◽

pp. 5855-5891

Author(s):

Jiajiang Liao ◽

Franck Sueur ◽

Ping Zhang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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