Vanishing viscosity limit for an incompressible fluid with concentrated vorticity

DOI10.1063/1.2347901zbMath1144.81387OpenAlexW2094694971MaRDI QIDQ3529772

Carlo Marchioro

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2347901

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Vortex flows for incompressible inviscid fluids (76B47) Viscous vortex flows (76D17)

Related Items (max. 100)

Vanishing viscosity limit for concentrated vortex rings ⋮ Vanishing viscosity limit for a smoke ring with concentrated vorticity ⋮ Long Time Evolution of Concentrated Euler Flows with Planar Symmetry ⋮ Long time localization of modified surface quasi-geostrophic equations ⋮ Time evolution of concentrated vortex rings ⋮ The Inviscid Limit of Navier--Stokes Equations for Vortex-Wave Data on $\mathbb R^2$ ⋮ Time evolution of vortex rings with large radius and very concentrated vorticity ⋮ Global time evolution of concentrated vortex rings

Cites Work

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• ON THE EXISTENCE OF STEADY HELICAL VORTEX TUBES OF SMALL CROSS-SECTION
• Large smoke rings with concentrated vorticity
• The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
• Existence of steady vortex rings in an ideal fluid

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