On the zero viscosity limit in incompressible fluids

A. L. Mazzucato

doi:10.1088/0031-8949/2008/T132/014002

On the zero viscosity limit in incompressible fluids

A. L. Mazzucato

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

We discuss the convergence in the limit of vanishing viscosity of solutions of the Navier-Stokes equations for incompressible fluid flow to solutions of the Euler equations in the presence of boundaries. We present explicit examples in two and three dimensions for which convergence holds in the energy norm, even when the flow is forced through moving boundaries. We obtain convergence rates in viscosity and discuss concentration of vorticity at the boundary in the limit.

Original language	English (US)
Article number	014002
Journal	Physica Scripta T
Volume	T132
DOIs	https://doi.org/10.1088/0031-8949/2008/T132/014002
State	Published - 2008
Event	International Conference 'Turbulent Mixing and Beyond' - Trieste, Italy Duration: Aug 18 2007 → Aug 26 2007

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
General Physics and Astronomy
Atomic and Molecular Physics, and Optics
Mathematical Physics

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10.1088/0031-8949/2008/T132/014002

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abstract = "We discuss the convergence in the limit of vanishing viscosity of solutions of the Navier-Stokes equations for incompressible fluid flow to solutions of the Euler equations in the presence of boundaries. We present explicit examples in two and three dimensions for which convergence holds in the energy norm, even when the flow is forced through moving boundaries. We obtain convergence rates in viscosity and discuss concentration of vorticity at the boundary in the limit.",

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AU - Mazzucato, A. L.

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AB - We discuss the convergence in the limit of vanishing viscosity of solutions of the Navier-Stokes equations for incompressible fluid flow to solutions of the Euler equations in the presence of boundaries. We present explicit examples in two and three dimensions for which convergence holds in the energy norm, even when the flow is forced through moving boundaries. We obtain convergence rates in viscosity and discuss concentration of vorticity at the boundary in the limit.

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U2 - 10.1088/0031-8949/2008/T132/014002

DO - 10.1088/0031-8949/2008/T132/014002

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AN - SCOPUS:70350680437

SN - 0281-1847

VL - T132

JO - Physica Scripta T

JF - Physica Scripta T

M1 - 014002

T2 - International Conference 'Turbulent Mixing and Beyond'

Y2 - 18 August 2007 through 26 August 2007

ER -

On the zero viscosity limit in incompressible fluids

Abstract

All Science Journal Classification (ASJC) codes

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