Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media
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Publication:2116268
DOI10.1016/j.physd.2020.132687zbMath1490.76097OpenAlexW3049477460MaRDI QIDQ2116268
Quan Wang, Daozhi Han, Xiaoming Wang
Publication date: 16 March 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2020.132687
dynamical system theorydeep convectionconvective stabilityNavier-Stokes-Darcy-Boussinesq systemcenter manifold reduction theoryLions interface boundary condition
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Flows in porous media; filtration; seepage (76S05) Convection in hydrodynamic stability (76E06) Diffusive and convective heat and mass transfer, heat flow (80A19)
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Cites Work
- Pattern formation in Rayleigh-Bénard convection
- Dynamic transitions and pattern formations for a Cahn-Hilliard model with long-range repulsive interactions
- Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- Stability of natural convection in superposed fluid and porous layers: Equivalence of the one- and two-domain approaches
- Cahn-Hilliard equations and phase transition dynamics for binary systems
- Numerical simulation in oil recovery. In part the proceedings of the symposium, held December 1-12, 1986 at the Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, MN (USA) which was an integral part of the 1986-87 IMA program on scientific computation
- Infinite-dimensional dynamical systems in mechanics and physics.
- Dynamic bifurcation and transition in the Rayleigh-Bénard convection with internal heating and varying gravity
- On the spectral instability and bifurcation of the 2D-quasi-geostrophic potential vorticity equation with a generalized Kolmogorov forcing
- Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs
- Rayleigh-Bénard convection: dynamics and structure in the physical space
- Pattern formations of 2D Rayleigh-Bénard convection with no-slip boundary conditions for the velocity at the critical length scales
- Phase Transition Dynamics
- Dynamic transitions for quasilinear systems and Cahn-Hilliard equation with Onsager mobility
- Approximation of Stochastic Invariant Manifolds
- Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
- Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers
- Introduction to Hydrodynamic Stability
- Dynamic Transitions of Quasi-geostrophic Channel Flow
- On the Boundary Condition at the Surface of a Porous Medium
- Poiseuille flow in a fluid overlying a porous medium
- Thermal convection in superposed fluid and porous layers subjected to a horizontal plane Couette flow
- Global stability for thermal convection in a fluid overlying a highly porous material
- Two‐dimensional modeling of microscale transport and biotransformation in porous media
- Effect of property variation and modelling on convection in a fluid overlying a porous layer
- Penetrative convection in a superposed porous-mediumfluid layer via internal heating
- Convection in a Coupled Free Flow-Porous Media System
- Tropical atmospheric circulations with humidity effects
- Spectral Methods for Non-Standard Eigenvalue Problems
- Thermal convection in superposed fluid and porous layers subjected to a plane Poiseuille flow
- Dynamics of evolutionary equations
- Convection in superposed fluid and porous layers
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