One-dimensional hyperbolic transport: positivity and admissible boundary conditions derived from the wave formulation

DOI10.1016/J.PHYSA.2015.12.111zbMath1400.35175arXiv1507.08831OpenAlexW1841328055MaRDI QIDQ1619257

Silvestro Crescitelli, Massimiliano Giona, Antonio Brasiello

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08831

zbMATH Keywords

hyperbolic equationstransport phenomenaCattaneo equationmicroscopic stochastic modelspositivity of operators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Transport processes in time-dependent statistical mechanics (82C70) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

On the influence of reflective boundary conditions on the statistics of Poisson-Kac diffusion processes ⋮ Age representation of Lévy walks: partial density waves, relaxation and first passage time statistics ⋮ Size effects in non-linear heat conduction with flux-limited behaviors ⋮ Stochastic foundations of undulatory transport phenomena: generalized Poisson–Kac processes—part I basic theory ⋮ Markovian nature, completeness, regularity and correlation properties of generalized Poisson-Kac processes ⋮ Hyperbolic heat/mass transport and stochastic modelling -- three simple problems

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