Continuous dependence for the Brinkman-Forchheimer fluid interfacing with a Darcy fluid in a bounded domain

DOI10.1016/j.matcom.2018.02.009OpenAlexW2790076129MaRDI QIDQ1997116

Shengzhong Xiao, Yan Liu, Yiwu Lin

Publication date: 1 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2018.02.009

zbMATH Keywords

continuous dependenceForchheimer coefficientBrinkman-Forchheimer modelBrinkman coefficient

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative properties of solutions to partial differential equations (35Bxx) Flows in porous media; filtration; seepage (76Sxx)

Related Items (15)

Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain ⋮ Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in \(\mathbb{R}^3 \) ⋮ Non-autonomous 3D Brinkman-Forchheimer equation with singularly oscillating external force and its uniform attractor ⋮ Continuous dependence and convergence for a Kelvin-Voigt fluid of order one ⋮ Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations ⋮ Continuous dependence on the Forchheimer coefficient of the Forchheimer fluid interfacing with a Darcy fluid ⋮ Structural stability for temperature-dependent bidispersive flow in a semi-infinite pipe ⋮ Phragmén–Lindelöf alternative results in time‐dependent double‐diffusive Darcy plane flow ⋮ Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder. ⋮ Structural stability for a coupled system of wave plate type ⋮ Convergence results on the boundary conditions for 2D large-scale primitive equations in oceanic dynamics ⋮ Structural stability in resonant penetrative convection in a Brinkman-Forchheimer fluid interfacing with a Darcy fluid ⋮ Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in \(R^2\) ⋮ Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics. ⋮ Phragmén-Lindelöf alternative results and structural stability for Brinkman fluid in porous media in a semi-infinite cylinder

Cites Work

• Unnamed Item
• Continuous dependence for the nonhomogeneous Brinkman-Forchheimer equations in a semi-infinite pipe
• On continuous dependence of solutions of dynamic equations
• Convergence results for Forchheimer's equations for fluid flow in porous media
• On uniqueness and continuous dependence in type III thermoelasticity
• Structural stability for a thermal convection model with temperature-dependent solubility
• Structural stability for two convection models in a reacting fluid with magnetic field effect
• Structural stability for the Brinkman equations of flow in double diffusive convection
• Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
• Steady nonlinear double-diffusive convection in a porous medium based upon the Brinkman-Forchheimer model
• The energy method, stability, and nonlinear convection.
• Continuous dependence for a thermal convection model with temperature-dependent solubility
• Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media
• Continuous dependence on boundary reaction terms in a porous medium of Darcy type
• On continuous dependence on coefficients of the Brinkman-Forchheimer equations
• Exact controllability and continuous dependence of fractional neutral integro-differential equations with state-dependent delay
• Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow
• Effect of anisotropic permeability on Darcy's law
• Continuous dependence on the reaction terms in porous convection with surface reactions
• Continuous Dependence on the Heat Source in Resonant Porous Penetrative Convection
• Continuous dependence and decay for the Forchheimer equations
• Structural stability for the Darcy equations of flow in porous media
• A priori bounds and structural stability for double-diffusive convection incorporating the Soret effect
• Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity
• Convection in Porous Media
• ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Structural stability for a Brinkman fluid
• Stability and Wave Motion in Porous Media
• Continuous dependence for the convective Brinkman–Forchheimer equations

This page was built for publication: Continuous dependence for the Brinkman-Forchheimer fluid interfacing with a Darcy fluid in a bounded domain