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

DOI10.1081/PDE-100001758zbMath0985.35058OpenAlexW2080305098MaRDI QIDQ2747916

Maria Carmela Lombardo, Marco Sammartino, Russel E. Caflisch

Publication date: 22 May 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-100001758

zbMATH Keywords

Sobolev spaceNavier-Stokes equationsintegral transform

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Solutions to PDEs in closed form (35C05)

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Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows, Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows, On the Prandtl boundary layer equations in presence of corner singularities, Viscous-inviscid interactions in a boundary-layer flow induced by a vortex array, The inviscid limit of Navier-Stokes equations for locally near boundary analytic data on an exterior circular domain, On the vanishing viscosity limit in a disk, Analysis of complex singularities in high-Reynolds-number Navier–Stokes solutions

Cites Work

• Integral transforms and their applications. 2nd ed
• 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
• A solution formula for the Stokes equation in Rn+
• The boundary layer analysis for stokes equations on a half space