2D Vortex Motion of an Incompressible Ideal Fluid: The Koopman–von Neumann Approach

DOI10.1142/S0219025703001195zbMath1047.76009OpenAlexW2114041250MaRDI QIDQ3043497

Benedetta Ferrario, Sergio A. Albeverio

Publication date: 6 August 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025703001195

zbMATH Keywords

Poisson measureLiouville operatorMarkov uniqueness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

• Unnamed Item
• Unnamed Item
• Hydrodynamics in two dimensions and vortex theory
• Stochastic flows with stationary distribution for two-dimensional inviscid fluids
• On the vortex flow in bounded domains
• Analysis and geometry on configuration spaces
• Analysis and geometry on configuration spaces: the Gibbsian case
• The two-dimensional Euler equation: A statistical study
• Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows
• Dirichlet operators via stochastic analysis
• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators