Infinite-energy 2D statistical solutions to the equations of incompressible fluids

DOI10.1007/s10884-009-9151-8zbMath1179.76019arXiv0903.3226OpenAlexW3104953721MaRDI QIDQ845803

James P. Kelliher

Publication date: 29 January 2010

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3226

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items

Abstract framework for the theory of statistical solutions ⋮ Vanishing \(\alpha\) and viscosity limits of second grade fluid equations for an expanding domain in the plane ⋮ Vanishing viscosity limit for an expanding domain in space ⋮ Statistical solutions of the two-dimensional incompressible Euler equations in spaces of unbounded vorticity

Cites Work

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• Vanishing viscosity limit for an expanding domain in space
• Global solutions of two-dimensional Navier-Stokes and Euler equations
• The inviscid limit for two-dimensional incompressible fluids with unbounded vorticity
• Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid
• Inviscid limit for damped and driven incompressible Navier-Stokes equations in \(\mathbb R^2\)
• Large Friction Limit and the Inviscid Limit of 2D Navier–Stokes Equations Under Navier Friction Condition
• Remarks on the vanishing obstacle limit for a 3D viscous incompressible fluid
• A remark on the inviscid limit for two-dimensional incompressible fluids

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