The Three-Dimensional Inviscid Limit Problem with Data Analytic Near the Boundary
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Publication:5116572
DOI10.1137/19M1296094zbMath1446.35108arXiv1910.14449OpenAlexW3045699448MaRDI QIDQ5116572
Publication date: 18 August 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14449
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Euler equations (35Q31)
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Cites Work
- Unnamed Item
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- Almost global existence for the Prandtl boundary layer equations
- On the local existence of analytic solutions to the Prandtl boundary layer equations
- Boundary layer for a class of nonlinear pipe flow
- Zero-viscosity limit of the Navier-Stokes equations in the analytic setting
- Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
- Remarks about the inviscid limit of the Navier-Stokes system
- Spectral stability of Prandtl boundary layers: an overview
- Vanishing viscosity limit for incompressible flow inside a rotating circle
- On the vanishing viscosity limit in a disk
- Vanishing viscosity and the accumulation of vorticity on the boundary
- Vorticity boundary conditions and boundary vorticity generation for two- dimensional viscous incompressible flows
- 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
- The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary
- Example of zero viscosity limit for two-dimensional nonstationary Navier- Stokes flows with boundary
- Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
- On the zero-viscosity limit of the Navier-Stokes equations in \(\mathbb R_+^3\) without analyticity
- The inviscid limit of Navier-Stokes equations for analytic data on the half-space
- Remarks on high Reynolds numbers hydrodynamics and the inviscid limit
- Solution formula for the vorticity equations in the half plane with application to high vorticity creation at zero viscosity limit
- The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
- Well-posedness of the Prandtl equations without any structural assumption
- \(L^\infty\) instability of Prandtl layers
- Vorticity measures and the inviscid limit
- Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay
- Vanishing viscosity plane parallel channel flow and related singular perturbation problems
- Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations
- Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit
- A Kato type theorem on zero viscosity limit of Navier-Stokes flows
- Well-posedness for the Prandtl system without analyticity or monotonicity
- Remarks on the ill-posedness of the Prandtl equation
- Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
- A note on Prandtl boundary layers
- The Zero‐Viscosity Limit of the 2D Navier–Stokes Equations
- On the ill-posedness of the Prandtl equation
- A remark on the inviscid limit for two-dimensional incompressible fluids
- Well-Posedness of the Boundary Layer Equations
- The inviscid limit for non-smooth vorticity
- On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions
- On the inviscid limit of the Navier-Stokes equations
- Well-posedness of the Prandtl equation in Sobolev spaces
- Remarks on the Inviscid Limit for the Navier--Stokes Equations for Uniformly Bounded Velocity Fields
- On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
- Observations on the vanishing viscosity limit
- On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid
- Spectral instability of general symmetric shear flows in a two-dimensional channel
