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

E Weinan

doi:10.1007/s101140000034

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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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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ASYMPTOTIC ANALYSIS OF THE LINEARIZED NAVIER–STOKES EQUATION ON AN EXTERIOR CIRCULAR DOMAIN: EXPLICIT SOLUTION AND THE ZERO VISCOSITY LIMIT

Communications in Partial Differential Equations ◽

10.1081/pde-100001758 ◽

2001 ◽

Vol 26 (1-2) ◽

pp. 335-354 ◽

Cited By ~ 6

Author(s):

Maria Carmela Lombardo ◽

Russel E. Caflisch ◽

Marco Sammartino

Keyword(s):

Asymptotic Analysis ◽

Stokes Equation ◽

Explicit Solution ◽

Circular Domain ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.¶I. Existence for Euler and Prandtl Equations

Communications in Mathematical Physics ◽

10.1007/s002200050304 ◽

1998 ◽

Vol 192 (2) ◽

pp. 433-461 ◽

Cited By ~ 160

Author(s):

Marco Sammartino ◽

Russel E. Caflisch

Keyword(s):

Half Space ◽

Stokes Equation ◽

Analytic Solutions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Prandtl Equations ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

Zero Viscosity

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Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space.¶ II. Construction of the Navier-Stokes Solution

Communications in Mathematical Physics ◽

10.1007/s002200050305 ◽

1998 ◽

Vol 192 (2) ◽

pp. 463-491 ◽

Cited By ~ 132

Author(s):

Marco Sammartino ◽

Russel E. Caflisch

Keyword(s):

Half Space ◽

Stokes Equation ◽

Analytic Solutions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Zero Viscosity Limit ◽

Viscosity Limit ◽

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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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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Harmonic linearized Navier-Stokes equation on describing the effect of surface roughness on hypersonic boundary-layer transition

Physics of Fluids ◽

10.1063/1.5086912 ◽

2019 ◽

Vol 31 (3) ◽

pp. 034108 ◽

Cited By ~ 4

Keyword(s):

Boundary Layer ◽

Surface Roughness ◽

Stokes Equation ◽

Boundary Layer Transition ◽

Navier Stokes ◽

Hypersonic Boundary Layer ◽

Navier Stokes Equation ◽

Layer Transition ◽

Effect Of Surface

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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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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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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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