Stochastic flows with stationary distribution for two-dimensional inviscid fluids

DOI10.1016/0304-4149(89)90100-2zbMath0676.76033OpenAlexW1992260563MaRDI QIDQ1123087

Raphael J. Høegh-Krohn, Sergio A. Albeverio

Publication date: 1989

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(89)90100-2

zbMATH Keywords

incompressible fluidEuler equationLiouville operatorbounded domainstochastic initial data

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves for incompressible viscous fluids (76D33)

Related Items

\(L^{1}\)-uniqueness of regularized 2D-Euler and stochastic Navier-Stokes equations, \(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise, Ergodicity and invariant measures of some randomly perturbed classical fields, Large deviation for Navier-Stokes equations with small stochastic perturbation, Hydrodynamic models, Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids, Weak vorticity formulation of 2D Euler equations with white noise initial condition, Invariant and Quasi-invariant Measures for Equations in Hydrodynamics, Uniqueness of the generators of the 2D Euler and Navier-Stokes flows, 2D Vortex Motion of an Incompressible Ideal Fluid: The Koopman–von Neumann Approach, 2D Navier-Stokes equation in Besov spaces of negative order, Kolmogorov equation associated to a stochastic Navier-Stokes equation, Kolmogorov Equations Associated to the Stochastic Two Dimensional Euler Equations, Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows, On 2D Eulerian limits à la Kuksin

Cites Work

• Vortex methods in two-dimensional fluid dynamics
• On weak, strong and classical solutions of the Hopf equation. An example of F.D.E. of second order
• Erratum to: Equilibrium states for a plane incompressible perfect fluid
• On the vortex flow in bounded domains
• Gaussian measures in Banach spaces
• Remarks on turbulence theory
• Selfadjointness of the Liouville operator for infinite classical systems
• On the invariant measures for the two-dimensional Euler flow
• Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
• On classical solutions of the two-dimensional non-stationary Euler equation
• Existence et unicité de la solution de l'équation d'Euler en dimension deux
• On the statistical solutions of the two‐dimensional, periodic Euler equation
• Statistical Behavior and Coherent Structures in Two-Dimensional Inviscid Turbulence
• ON INVARIANT MEASURES OF DYNAMICAL SYSTEMS OF ONE-DIMENSIONAL STATISTICAL MECHANICS
• Inviscid dynamics of two-dimensional turbulence
• On some statistical properties of hydrodynamical and magneto-hydrodynamical fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item