A note on convection with nonlinear heat flux
type: Item
instance of: scholarly article
title: A note on convection with nonlinear heat flux
zbMATH Open document ID: 1258.76088
author: Brian Straughan
published in: Ricerche di Matematica
publication date: 2008-06-25T00:00:00Z
Mathematics Subject Classification ID: 76E06
Mathematics Subject Classification ID: 76E30
zbMATH DE Number: 5292661
zbMATH Keywords: convection
zbMATH Keywords: nonlinear heat flux
zbMATH Keywords: stability
zbMATH Keywords: instability
MaRDI profile type: Publication
full work available at URL: s11587-007-0016-3
OpenAlex ID: W2004024012
cites work: Continuous dependence results for solutions of the Navier-Stokes equations backward in time
cites work: ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM
cites work: Continuous dependence results for a problem in penetrative convection
cites work: On the possibility of global solutions for variant models of viscous flow on unbounded domains
cites work: Boundedness and global nonexistence for a nonlinear convective parabolic system
cites work: Q5699009
cites work: Nonlinear stability analysis of convection for fluids with exponentially temperature-dependent viscosity
cites work: Nonlinear stability analysis of the Bénard problem for fluids with a convex nonincreasing temperature depending viscosity
cites work: Q4950017
cites work: Global stability for convection when the viscosity has a maximum
cites work: Q4869791
cites work: The Benard problem for nonlinear heat conduction: unconditional stability
cites work: Nonlinear stability for a thermofluid in a vertical porous slab
cites work: Continuous dependence on the body force for solutions to the Navier- Stokes equations and on the heat supply in a model for double diffusive porous convection
cites work: On the heat flux vector for flowing granular materials—Part I: effective thermal conductivity and background
cites work: On the heat flux vector for flowing granular materials—part II: derivation and special cases
cites work: Lower bounds for the blow-up time in a temperature dependent Navier-Stokes flow
cites work: Double diffusive penetrative convection in porous media
cites work: Q5699143
cites work: \(L^2\)-stability of the solutions to a nonlinear binary reaction-diffusion system of P.D.E.s
cites work: A rigorous reduction of the \(L^2\)-stability of the solutions to a nonlinear binary reaction--diffusion system of PDE's to the stability of the solutions to a linear binary system of ODE's
cites work: A nonlinear \(L^2\)-stability analysis for two-species population dynamics with dispersal
cites work: Q5482773
cites work: A new approach to nonlinear \(L^{2}\)-stability of double diffusive convection in porous media: necessary and sufficient conditions for global stability via a linearization principle
cites work: On the stationary Boussinesq-Stefan problem with constitutive power-laws
cites work: Explosive Instabilities in Mechanics
cites work: Sharp global nonlinear stability for temperature-dependent viscosity convection
cites work: The energy method, stability, and nonlinear convection.
cites work: Stability and Wave Motion in Porous Media
cites work: Non‐linear stability for convection with quadratic temperature dependent viscosity
cites work: The linear stability of channel flow of fluid with temperature-dependent viscosity
cites work: On the effects of microstress on macroscopic diffusion processes
DOI: 10.1007/S11587-007-0016-3
description: scientific article; zbMATH DE number 5292661