Global Existence Analysis of Energy-Reaction-Diffusion Systems
DOI10.1137/20M1387237zbMath1483.35262arXiv2012.03792MaRDI QIDQ5020862
Alexander Mielke, Michael Kniely, Katharina Hopf, Julian Fischer
Publication date: 7 January 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.03792
entropy methodcross-diffusionsoret effectDufour effectenergy-reaction-diffusion systemsOnsager systemglobal-in-time existence of weak/renormalized solutions
Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial-boundary value problems for second-order parabolic systems (35K51) Diffusive and convective heat and mass transfer, heat flow (80A19)
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