The 2D Euler equations and the statistical transport equations

DOI10.1007/s00220-006-0078-1zbMath1190.76138OpenAlexW2078738100WikidataQ57622129 ScholiaQ57622129MaRDI QIDQ882978

Nikolai V. Chemetov, Fernanda Cipriano

Publication date: 31 May 2007

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

Full work available at URL: https://doi.org/10.1007/s00220-006-0078-1

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Transport processes in time-dependent statistical mechanics (82C70) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
• Ordinary differential equations, transport theory and Sobolev spaces
• Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
• The two-dimensional Euler equation: A statistical study
• On a motion of a perfect fluid in a domain with sources and sinks
• On the structure of independence on Wiener space
• On classical solutions of the two-dimensional non-stationary Euler equation
• Anticipating flows on the Wiener space generated by vector fields of low regularity
• On the statistical solutions of the two‐dimensional, periodic Euler equation
• Existence de Nappes de Tourbillon en Dimension Deux
• Concentrations in regularizations for 2‐D incompressible flow
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