The inviscid limit for the 2D Navier-Stokes equations in bounded domains
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Publication:2087580
DOI10.3934/krm.2022004zbMath1497.35339arXiv2111.14782OpenAlexW3217150909MaRDI QIDQ2087580
Edriss S. Titi, Toan T. Nguyen, Trinh T. Nguyen, Claude Bardos
Publication date: 21 October 2022
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.14782
Navier-Stokes equationsinviscid limitbounded domainsStokes semigroupboundary vorticity formulationnear boundary analytic spaces
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30)
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The strong vanishing viscosity limit with Dirichlet boundary conditions ⋮ Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems ⋮ The inviscid limit of Navier-Stokes equations for locally near boundary analytic data on an exterior circular domain
Cites Work
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- Spectral instability of characteristic boundary layer flows
- 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. II: Construction of the Navier-Stokes solution
- Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows
- The inviscid limit of Navier-Stokes equations for analytic data on the half-space
- On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations
- The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary
- Zero-viscosity limit of the Navier-Stokes equations in a simply-connected bounded domain under the analytic setting
- \(L^\infty\) instability of Prandtl layers
- On the analyticity and Gevrey-class regularity up to the boundary for the Euler equations
- A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities
- Generator functions and their applications
- Well-Posedness of the Boundary Layer Equations
- On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
- Spectral instability of general symmetric shear flows in a two-dimensional channel