Rayleigh-Bénard problem for thermomicropolar fluids

DOI10.12775/TMNA.2018.012zbMath1425.76229MaRDI QIDQ1741783

Jakub Siemianowski, Piotr Kalita, Grzegorz Łukaszewicz

Publication date: 7 May 2019

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

Full work available at URL: https://projecteuclid.org/euclid.tmna/1532484286

zbMATH Keywords

weak solutionexistenceuniquenessglobal attractorstrong solution\(m\)-semiflowheat dissipation

Mathematics Subject Classification ID

Related Items (9)

Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ Rigorous derivation of the asymptotic model describing a steady thermomicropolar fluid flow through a curvilinear channel ⋮ Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain ⋮ First‐order fractional step finite element method for the 2D/3D unstationary incompressible thermomicropolar fluid equations ⋮ Stability of the 2D anisotropic micropolar Rayleigh–Bénard problem with one direction dissipation ⋮ Nonlinear Semigroups and Their Perturbations in Hydrodynamics. Three Examples ⋮ Pressure correction projection finite element method for the 2D/3D time-dependent thermomicropolar fluid problem ⋮ On relation between attractors for single and multivalued semiflows for a certain class of PDEs ⋮ Asymptotic analysis of the thermomicropolar fluid flow through a thin channel with cooling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A minimal approach to the theory of global attractors
• Smooth attractors for weak solutions of the SQG equation with critical dissipation
• On pullback attractors for a class of two-dimensional turbulent shear flows
• 2D quasi-geostrophic equation; sub-critical and critical cases
• Pullback dynamical behaviors of the non-autonomous micropolar fluid flows
• Navier-Stokes equations. An introduction with applications
• Bound on vertical heat transport at large Prandtl number
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Pullback attractor for heat convection problem in a micropolar fluid
• Addendum to ``On attractors of multivalued semiflows and differential inclusions [Set-valued Anal. 6, No.\,1, 83--111 (1998; Zbl 0915.58063)]
• Functional analysis, Sobolev spaces and partial differential equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Micropolar fluids. Theory and applications
• Infinite-dimensional dynamical systems in mechanics and physics.
• Long-time behavior of 2D micropolar fluid flows
• The existence of a global attractor for the forced critical surface quasi-geostrophic equation in \(L^2\)
• Critical Rayleigh numbers for oscillatory and nonlinear convection in an isotropic thermomicropolar fluid
• On the theory of global attractors and Lyapunov functionals
• Micropolar meets Newtonian. The Rayleigh-Bénard problem
• Global attractors for multivalued semiflows with weak continuity properties
• Theory of thermomicrofluids
• Uniformly attracting limit sets for the critically dissipative SQG equation
• The Eigenfunctions of the Stokes Operator in Special Domains. II
• Heat transfer in convective turbulence
• Minimality Properties of Set-Valued Processes and their Pullback Attractors
• Global attractor for heat convection problem in a micropolar fluid

This page was built for publication: Rayleigh-Bénard problem for thermomicropolar fluids