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Convergence of the vanishing viscosity approximation for superpositions of confined eddies

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Publication:1299953
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DOI10.1007/s002200050556zbMath0942.76012OpenAlexW2044947685MaRDI QIDQ1299953

Yuxi Zheng, Helena J. Nussenzveig Lopes, Milton da Costa Lopes Filho

Publication date: 22 November 1999

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

Full work available at URL: https://doi.org/10.1007/s002200050556


zbMATH Keywords

convergencevorticitycompact supportunique weak solutiontwo-dimensional incompressible Navier-Stokes equationscircularly symmetric flowdisjoint superposition of singular confined eddiestwo-dimensional incompressible inviscid Euler equationszero net circulation


Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)


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Vanishing viscosity limit for incompressible flow inside a rotating circle ⋮ Observations on the vanishing viscosity limit ⋮ Numerical evidence of nonuniqueness in the evolution of vortex sheets




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