On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity
DOI10.1016/j.matpur.2017.09.007zbMath1387.35452OpenAlexW2754930797MaRDI QIDQ1707305
Tao Tao, Zhifei Zhang, Ming Wen Fei
Publication date: 29 March 2018
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2017.09.007
Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Cauchy-Kovalevskaya theorems (35A10) Viscous-inviscid interaction (76D09)
Related Items (27)
Cites Work
- Unnamed Item
- Unnamed Item
- Zero-viscosity limit of the Navier-Stokes equations in the analytic setting
- Global regularity for the Navier-Stokes equations with some classes of large initial data
- Global regularity for some classes of large solutions to the Navier-Stokes equations
- Uniform regularity for the Navier-Stokes equation with Navier boundary condition
- Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
- Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
- Remarks about the inviscid limit of the Navier-Stokes system
- On the vanishing viscosity limit in a disk
- On the inviscid limit for a fluid with a concentrated vorticity
- Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
- Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
- On the global existence of solutions to the Prandtl's system.
- Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate
- Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- A Kato type theorem on zero viscosity limit of Navier-Stokes flows
- Well-posedness for the Prandtl system without analyticity or monotonicity
- On Vorticity Formulation for Viscous Incompressible Flows in R3+
- Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
- Fourier Analysis and Nonlinear Partial Differential Equations
- Vanishing Viscosity Limits for a Class of Circular Pipe Flows
- On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
- On the ill-posedness of the Prandtl equation
- On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
- Well-Posedness of the Boundary Layer Equations
- Inviscid limit for vortex patches
- On the inviscid limit of the Navier-Stokes equations
- Well-posedness of the Prandtl equation in Sobolev spaces
- On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
- Asymptotic analysis of the eigenvalues of a Laplacian problem in a thin multidomain
- Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions
- The Convergence with Vanishing Viscosity of Nonstationary Navier-Stokes Flow to Ideal Flow in R 3
- Long time well-posedness of Prandtl system with small and analytic initial data
This page was built for publication: On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity