Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow

DOI10.1016/j.jmaa.2007.11.036zbMath1139.35085OpenAlexW1968136849MaRDI QIDQ2481844

Changhao Lin, Lawrence E. Payne

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.11.036

zbMATH Keywords

structural stabilitydouble diffusive convectioncontinuous dependenceDarcy flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

The applications of Sobolev inequalities in proving the existence of solution of the quasilinear parabolic equation ⋮ Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain ⋮ Structural stability for a linear system of thermoelastic plate equations ⋮ Continuous Dependence on the Heat Source in Resonant Porous Penetrative Convection ⋮ 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 ⋮ Structural stability and decay estimate for marine riser equations ⋮ Continuous dependence on the coefficients for double diffusive convection in Darcy flow with magnetic field effect ⋮ Unnamed Item ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Structural stability for convection models in a reacting porous medium with magnetic field effect ⋮ Structural stability for two convection models in a reacting fluid with magnetic field effect ⋮ Continuous dependence for a thermal convection model with temperature-dependent solubility ⋮ Structural stability for the resonant porous penetrative convection ⋮ 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 for the Brinkman-Forchheimer fluid interfacing with a Darcy fluid in a bounded domain ⋮ Continuous dependence of solutions to double dispersive equation with dissipative term ⋮ On $H(div)$-conforming Methods for Double-diffusion Equations in Porous Media ⋮ The applications of some basic mathematical inequalities on the convergence of the primitive equations of moist atmosphere ⋮ Continuous dependence on the reaction terms in porous convection with surface reactions ⋮ Structural stability for a Brinkman-Forchheimer type model with temperature-dependent solubility

Cites Work

• New bounds for solutions of second order elliptic partial differential equations
• Structural stability for the Brinkman equations of flow in double diffusive convection
• The energy method, stability, and nonlinear convection.
• Spatial decay bounds for double diffusive convection in Brinkman flow
• Lower bounds for blow-up time in parabolic problems under Neumann conditions
• 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
• Continuous dependence results for a problem in penetrative convection
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Double‐Diffusive Convection in a Porous Medium, Nonlinear Stability, and the Brinkman Effect
• Structural stability for a Brinkman fluid
• Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows
• Spatial decay estimates in time-dependent double-diffusive Darcy plane flow.
• Unnamed Item
• Unnamed Item
• Unnamed Item