Leray's inequality for fluid flow in symmetric multi-connected two-dimensional domains

DOI10.3836/tjm/1342701344zbMath1256.35053OpenAlexW2020443032MaRDI QIDQ447804

Reinhard Farwig, Hiroko Morimoto

Publication date: 29 August 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1342701344

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (max. 100)

The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain ⋮ On the Leray-Hopf extension condition for the steady-state Navier-Stokes problem in multiply-connected bounded domains ⋮ L^ptheory for Boussinesq system with Dirichlet boundary conditions

Cites Work

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• Leray's inequality in general multi-connected domains in \({\mathbb{R}^n}\)
• Leray's problem on the stationary Navier-Stokes equations with inhomogeneous boundary data
• A remark on Leray's inequality
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• A remark on the existence of 2-D steady Navier-Stokes flow in bounded symmetric domain under general outflow condition
• Ein allgemeiner Endlichkeitssatz der Hydrodynamik

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