The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary

• Autorzy: Piotr Bogusław Mucha
• Języki publikacji: EN

Abstrakty

EN

We investigate the inviscid limit for the stationary Navier-Stokes equations in a two dimensional bounded domain with slip boundary conditions admitting nontrivial inflow across the boundary. We analyze admissible regularity of the boundary necessary to obtain convergence to a solution of the Euler system. The main result says that the boundary of the domain must be at least C²-piecewise smooth with possible interior angles between regular components less than π.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 76B03: Existence, uniqueness, and regularity theory
• 76D09: Viscous-inviscid interaction

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 169-183

Daty

wydano

2005

Twórcy

autor

Piotr Bogusław Mucha

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc70-0-11