Invariant measures for multivalued semigroups

DOI10.1016/j.jmaa.2017.06.032zbMath1373.37014OpenAlexW2624948617MaRDI QIDQ2014091

Cláudia B. Gentile Moussa

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.032

zbMATH Keywords

attractorinvariant measureergodic theoremgeneralized semiflowmultivalued semigroup

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30)

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Cites Work

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• Abstract framework for the theory of statistical solutions
• Invariant measures for non-autonomous dissipative dynamical systems
• Invariant measures for dissipative systems and generalised Banach limits
• Invariant measures for dissipative dynamical systems: abstract results and applications
• Distributions of random sets and random selections
• Pullback attractors and statistical solutions for 2-D Navier-Stokes equations
• Invariant measures and statistical solutions of the globally modified Navier-Stokes equations
• Upper semi-continuity of stationary statistical properties of dissipative systems
• Equivalence of invariant measures and stationary statistical solutions for the autonomous globally modified Navier-Stokes equations
• Many-valued measure-preserving mappings (polymorphisms) and Markovian operators
• Ergodic theorems. With a supplement by Antoine Brunel
• L'equation de Hopf, les solutions statistiques, les moments correspondants aux systèmes des équations paraboliques quasilineaires
• Singularly perturbed ordinary differential equations with nonautonomous fast dynamics
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• A comparison between two theories for multi-valued semiflows and their asymptotic behaviour
• Invariant measures of set-valued maps
• Statistical study of Navier-Stokes equations. I
• Frobenius-Perron operators and approximation of invariant measures for set-valued dynamical systems
• On attractors for multivalued semigroups defined by generalized semiflows
• Trajectory Statistical Solutions for Three-Dimensional Navier--Stokes-Like Systems
• Poincaré's recurrence theorem for set-valued dynamical systems
• Invariant Measures for Set-Valued Dynamical Systems
• INVARIANT MEASURES AND THEIR PROJECTIONS IN NONAUTONOMOUS DYNAMICAL SYSTEMS
• ERGODIC PROPERTIES OF WEAK ASYMPTOTIC PSEUDOTRAJECTORIES FOR SET-VALUED DYNAMICAL SYSTEMS