Non-isothermal electrokinetics: energetic variational approach

DOI10.4310/CMS.2018.V16.N5.A13zbMath1406.35290arXiv1710.08031OpenAlexW2963805900WikidataQ128709393 ScholiaQ128709393MaRDI QIDQ1633651

Pei Liu, Simo Wu, Chun Liu

Publication date: 20 December 2018

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08031

zbMATH Keywords

electrokineticselectrothermal motionenergetic variation approach

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Foundations of fluid mechanics (76A02) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (7)

Well-posedness for the reaction-diffusion equation with temperature in a critical Besov space ⋮ The time decay rates of the classical solution to the Poisson-Nernst-Planck-Fourier equations in \(\mathbb{R}^3\) ⋮ Structure-preserving numerical approximations to a non-isothermal hydrodynamic model of binary fluid flows ⋮ Global existence of the non-isothermal Poisson-Nernst-Planck-Fourier system ⋮ The inviscid limit and well-posedness for the Euler–Nernst–Planck–Poisson system ⋮ The Brinkman-Fourier system with ideal gas equilibrium ⋮ Positivity of temperature for some non-isothermal fluid models

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