The 2-\(D\) constrained \(NS\) equation and stochastic vortex theory

DOI10.4171/RLM/614zbMath1236.35113OpenAlexW2035487842MaRDI QIDQ2428056

Yanyan Li

Publication date: 20 April 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/614

zbMATH Keywords

Navier-Stokes equationcoherent structuresgradient flowsstochastic vortex theory

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Applications of stochastic analysis (to PDEs, etc.) (60H30) Navier-Stokes equations (35Q30) Viscous vortex flows (76D17)

Cites Work

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• Vortex methods in two-dimensional fluid dynamics
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• A stochastic differential equation arising from the vortex problem
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• The micro-canonical point vortex ensemble: Beyond equivalence
• Propagation of chaos for the two-dimensional Navier-Stokes equation
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
• Global stability of vortex solutions of the two-dimensional Navier-Stokes equation
• The 2D constrained Navier–Stokes equation and intermediate asymptotics
• Statistical mechanics of two-dimensional vortices in a bounded container
• Statistical mechanics of classical particles with logarithmic interactions

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