Nonlinear heat equations

DOI10.1016/S0034-4877(97)85905-8zbMath0907.60094OpenAlexW2009710143MaRDI QIDQ1387133

R. F. Streater

Publication date: 2 March 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85905-8

zbMATH Keywords

entropydiffusionstochastic differential equationBrownian motionfree energynonequilibrium thermodynamics

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (8)

Two-level diffusion, random walk and uniqueness ⋮ Random walk, Rayleigh-Kac' scheme and diffusion equation ⋮ Classical and quantum probability ⋮ Nonlinear heat equation and thermodiffusion ⋮ On nonlinear heat equations and diffusion in porous media ⋮ Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion ⋮ Self-interaction of Brownian particles coupled with thermodynamic processes ⋮ Nonlinear heat equation and two-level diffusion

Cites Work

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• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• A gas of Brownian particles in statistical dynamics
• The \(F\)-theorem for stochastic models
• Transport in Metals: Effect of the Nonequilibrium Phonons
• Infrared bound for the massless propagator in a Yang-Mills field
• Dynamics of Brownian particles in a potential
• Le domaine de validité de la thermodynamique des phénomènes irréversibles

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