Three-dimensional stochastic Navier–Stokes equations with Markov switching

DOI10.1142/s0219493723500570arXiv2203.14442MaRDI QIDQ6198716

Po-Han Hsu, Padmanabhan Sundar

Publication date: 23 February 2024

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14442

zbMATH Keywords

stochastic Navier-Stokes equationsMarkov switchingmartingale problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Cites Work

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• Stochastic tamed 3D Navier-Stokes equations: existence, uniqueness and ergodicity
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• Ergodicity for the 3D stochastic Navier-Stokes equations
• Hybrid switching diffusions. Properties and applications
• Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• Stochastic 2-D Navier-Stokes equation
• Modern analysis and topology
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Ergodicity of the 2-D Navier-Stokes equation under random perturbations
• Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity
• A concise course on stochastic partial differential equations
• On the uniqueness of solutions of stochastic differential equations
• Equations stochastiques du type Navier-Stokes
• Stochastic Analysis and Diffusion Processes
• Mathematical Problems of Statistical Hydromechanics
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
• THE STOCHASTIC MAGNETO-HYDRODYNAMIC SYSTEM
• Leray’s fundamental work on the Navier–Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”
• The Kolmogorov-Obukhov Theory of Turbulence
• Stochastic Differential Equations with Markovian Switching

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