Hyperbolic heat/mass transport and stochastic modelling -- three simple problems

DOI10.3934/mine.2019.2.224zbMath1435.80005OpenAlexW2914946319MaRDI QIDQ2305065

Massimiliano Giona, Luigi Pucci

Publication date: 10 March 2020

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mine.2019.2.224

zbMATH Keywords

stochastic dynamicsPoisson-Kac processesCattaneo heat transport equationhyperbolic transport modelspositivity requirement

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Classical and relativistic thermodynamics (80A10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Second-order hyperbolic equations (35L10) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) PDEs in connection with classical thermodynamics and heat transfer (35Q79) PDEs in connection with statistical mechanics (35Q82) Diffusive and convective heat and mass transfer, heat flow (80A19) First-order hyperbolic equations (35L02)

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