Bracket formulation of diffusion-convection equations
type: Item
instance of: scholarly article
title: Bracket formulation of diffusion-convection equations
zbMATH Open document ID: 0615.76093
DOI: 10.1016/0167-2789(86)90001-1
author: Miroslav Grmela
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: A general diffusion-convection equation compatible with equilibrium thermodynamics and extending previous abstract formulations is introduced. It generates as particular cases previously known evolution equations ranging from classical Navier-Stokes-Fourier hydrodynamics to microscopic constitutive theories. Two examples are discussed to illuminate the author's concepts.
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 3997436
zbMATH Keywords: diffusion-convection equation
zbMATH Keywords: equilibrium thermodynamics
zbMATH Keywords: Navier-Stokes- Fourier hydrodynamics
zbMATH Keywords: microscopic constitutive theories
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90001-1
OpenAlex ID: W2005794798
cites work: The Hamiltonian structure of the Maxwell-Vlasov equations
cites work: Hamiltonian formulation of reduced magnetohydrodynamics
cites work: A nonlinear Onsager theory of irreversibility
cites work: Continuum Thermodynamics
cites work: Le domaine de validité de la thermodynamique des phénomènes irréversibles
cites work: On the thermodynamics of nonlinear constitutive relations in gasdynamics
cites work: Internal variables and the thermodynamics of macromolecule solutions
cites work: Long time behavior of solutions to the linearized two component Enskog–Vlasov kinetic equations
cites work: Reciprocal Relations in Irreversible Processes. II.
cites work: On the equivalence of simplest non-linear rheological equations for viscoelastic polymer media
cites work: A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility
cites work: Convection and diffusion of polymer network strands
Recommended article: The diffusion-Brusselator equation
Recommended article: An explicit method for convection-diffusion equations
Recommended article: A variational formulation for convection-diffusion problems
Recommended article: EXACT AND APPROXIMATE SOLUTIONS OF THE CONVECTION-DIFFUSION EQUATION
Recommended article: Exact solutions of diffusion-convection equations
Recommended article: Approximation of the incompressible convective Brinkman-Forchheimer equations
Recommended article: Q3004628
Recommended article: A solution-scheme for the convective-diffusion equation
Recommended article: Q5399829
Recommended article: On approximation to convective diffusion equation
description: scientific article; zbMATH DE number 3997436