Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows

DOI10.1006/jfan.2001.3927zbMath1034.35086OpenAlexW2042804611MaRDI QIDQ1849065

Sergio A. Albeverio, Benedetta Ferrario

Publication date: 28 November 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3927

zbMATH Keywords

Navier-Stokes equationsuniquenessinvariant measuresEuler and Navier-Stokes equationsLiouville and Kolmogorov generatorswhite noise forcing term

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) Navier-Stokes equations (35Q30) Applications of operator theory to differential and integral equations (47N20)

Related Items (15)

\(L^{1}\)-uniqueness of regularized 2D-Euler and stochastic Navier-Stokes equations ⋮ Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy. ⋮ Infinitesimal invariance of completely Random Measures for 2D Euler Equations ⋮ \(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise ⋮ Complex Wiener-Itô chaos decomposition revisited ⋮ Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure ⋮ Essential self-adjointness of Liouville operator for 2D Euler point vortices ⋮ Hydrodynamic models ⋮ A NEW A PRIORI ESTIMATE FOR THE KOLMOGOROV OPERATOR OF A 2D-STOCHASTIC NAVIER–STOKES EQUATION ⋮ 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 ⋮ Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations ⋮ Ergodicity for stochastic equations of Navier-Stokes type ⋮ Invariant measures for the two-dimensional averaged-Euler equations

Cites Work

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