Semiflow selection and Markov selection theorems

DOI10.12775/TMNA.2020.010zbMath1477.34086arXiv1707.04778MaRDI QIDQ2027806

Lev Kapitanski, Jorge E. Cardona

Publication date: 28 May 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04778

zbMATH Keywords

Navier-Stokes equationsMarkov propertysemigroup propertysemiflowsMarkov selection theoremmeasurable selection theorems

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Navier-Stokes equations (35Q30) Evolution inclusions (34G25)

Related Items (9)

Dissipative solutions and semiflow selection for the complete Euler system ⋮ Probabilistic descriptions of fluid flow: a survey ⋮ Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness ⋮ On Well-Posedness of Quantum Fluid Systems in the Class of Dissipative Solutions ⋮ Solution semiflow to the compressible Euler equations with damping ⋮ Solution semiflow to the isentropic Euler system ⋮ Flow solutions of transport equations ⋮ The non-linear sewing lemma. II. Lipschitz continuous formulation ⋮ Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise

Cites Work

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• Attractors in hyperspace
• Martingale solutions and Markov selections for stochastic partial differential equations
• Markov selections for the 3D stochastic Navier-Stokes equations
• A convenient category of topological spaces
• On invariant sets
• Selection theorems and their applications
• Differential equations without uniqueness and classical topological dynamics
• On convergence determining and separating classes of functions
• Le correspondant topologique de l'unicité dans la théorie des équations différentielles
• Solution Sets for Differential Equations and Inclusions
• MARKOV ATTRACTORS: A PROBABILISTIC APPROACH TO MULTIVALUED FLOWS
• ON THE SELECTION OF A MARKOV PROCESS FROM A SYSTEM OF PROCESSES AND THE CONSTRUCTION OF QUASI-DIFFUSION PROCESSES
• Partitions of Unity and a Closed Embedding Theorem for (C p , b ∗ )-Manifolds
• Survey of Measurable Selection Theorems: Russian Literature Supplement
• Survey of Measurable Selection Theorems
• The Regularity of Conditional Probabilities for Stochastic Processes
• Continuity equations and ODE flows with non-smooth velocity
• The Existence of Probability Measures with Given Marginals
• Sur les multi-applications mesurables
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
• Ordinary Differential Equations
• Probability theory. A comprehensive course

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