Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system

DOI10.1016/j.jde.2020.05.037zbMath1441.82015arXiv2001.08393OpenAlexW3033346272MaRDI QIDQ2189805

Tai-Chia Lin, Chun Liu, Chia-Yu Hsieh, Pei Liu

Publication date: 16 June 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08393

zbMATH Keywords

variational principleglobal existencenon-isothermal fluid

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of liquids (82D15) Motion of charged particles (78A35) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Variational principles of physics (49S05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Electrochemistry (78A57)

Related Items (6)

Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in $\mathbb{R}^2$ ⋮ The time decay rates of the classical solution to the Poisson-Nernst-Planck-Fourier equations in \(\mathbb{R}^3\) ⋮ The global existence of strong solutions for a non-isothermal ideal gas system ⋮ Parabolic-elliptic system modeling biological ion channels ⋮ The Brinkman-Fourier system with ideal gas equilibrium ⋮ Positivity of temperature for some non-isothermal fluid models

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