Micropolar meets Newtonian. The Rayleigh-Bénard problem
From MaRDI portal
Publication:2215709
DOI10.1016/j.physd.2018.12.004zbMath1451.76057OpenAlexW2905974770MaRDI QIDQ2215709
Piotr Kalita, Grzegorz Łukaszewicz, José Antonio Langa
Publication date: 14 December 2020
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2018.12.004
Non-Newtonian fluids (76A05) Attractors (35B41) General topics in linear spectral theory for PDEs (35P05) Free convection (76R10) Convective turbulence (76F35)
Related Items (21)
Stability and large-time behavior of the inviscid Boussinesq system for the micropolar fluid with damping ⋮ Global well-posedness for the 2D micropolar Bénard fluid system with mixed partial dissipation, angular viscosity and without thermal diffusivity ⋮ Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ Global well-posedness for the 2D micropolar Bénard convection system with mixed partial viscosity ⋮ Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case ⋮ Vertical heat transport at infinite Prandtl number for micropolar fluid ⋮ Large time behavior of weak solutions to d-dimensional micropolar Rayleigh-Bénard problem ⋮ Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity ⋮ Stability of the 2D anisotropic micropolar Rayleigh–Bénard problem with one direction dissipation ⋮ Anisotropic micropolar fluids subject to a uniform microtorque: the stable case ⋮ Nonlinear Semigroups and Their Perturbations in Hydrodynamics. Three Examples ⋮ Micropolar meets Newtonian in 3D. The Rayleigh–Bénard problem for large Prandtl numbers ⋮ On relation between attractors for single and multivalued semiflows for a certain class of PDEs ⋮ Rayleigh-Bénard problem for thermomicropolar fluids ⋮ Global regularity for the 2D micropolar Rayleigh-Bénard convection system with the zero diffusivity ⋮ Global well-posedness for the 3D damped micropolar Bénard system with zero thermal conductivity ⋮ On the well-posedness for the 2D micropolar Rayleigh-Bénard convection problem ⋮ Global well-posedness for the 2D micropolar Rayleigh-Bénard convection problem without velocity dissipation ⋮ Global regularity for the 2D micropolar Rayleigh-Bénard problem with partial dissipation ⋮ Existence and uniqueness of local weak solution of \(d\)-dimensional fractional micropolar Rayleigh-Bénard convection system without thermal diffusion in Besov space ⋮ Global well-posedness for 3D nonhomogeneous micropolar fluids with density-dependent viscosity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamic bifurcation and stability in the Rayleigh-Bénard convection
- Upper bounds on Nusselt number at finite Prandtl number
- Bound on vertical heat transport at large Prandtl number
- On the dimension of the attractors in two-dimensional turbulence
- On the stability of micropolar fluids
- Convective instability of a micropolar fluid layer by the method of energy
- Generalization of the Sobolev-Lieb-Thirring inequalities and applications to the dimension of attractors
- Stability of a micropolar fluid layer heated from below
- Thermal instability of a horizontal layer of micropolar fluid heated from below
- Micropolar fluids. Theory and applications
- Infinite-dimensional dynamical systems in mechanics and physics.
- On the fractal dimension of invariant sets: Applications to Navier-Stokes equations.
- Long-time behavior of 2D micropolar fluid flows
- An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory
- Attractor dimension estimates for two-dimensional shear flows
- Critical Rayleigh numbers for oscillatory and nonlinear convection in an isotropic thermomicropolar fluid
- Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
- Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone
- Variations on Kolmogorov flow: turbulent energy dissipation and mean flow profiles
- Stability Criteria for Fluid Flows
- Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
- The Eigenfunctions of the Stokes Operator in Special Domains. II
- Heat transfer in convective turbulence
- Improved upper bound on the energy dissipation rate in plane Couette flow: the full solution to Busse's problem and the Constantin–Doering–Hopf problem with one-dimensional background field
- Applied Analysis of the Navier-Stokes Equations
- Vertical heat transport at infinite Prandtl number for micropolar fluid
- Limitations of the background field method applied to Rayleigh-Bénard convection
- Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection
- Global attractor for heat convection problem in a micropolar fluid
- Lieb-Thirring integral inequalities and their applications to attractors of the Navier-Stokes equations
- A note on the fractal dimension of attractors of dissipative dynamical systems
This page was built for publication: Micropolar meets Newtonian. The Rayleigh-Bénard problem
