Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics

DOI10.1088/1361-6544/ac5679zbMath1504.35310arXiv2108.13681OpenAlexW3196400525WikidataQ115548078 ScholiaQ115548078MaRDI QIDQ5087195

Pierre-Étienne Druet

Publication date: 8 July 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.13681

zbMATH Keywords

continuum thermodynamicsmaximal regularitymulticomponent fluidPDE system of mixed typelocal-in-time well-posedness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50) Thermodynamics of continua (80A17) Chemically reacting flows (80A32) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Three or more component flows (76T30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (3)

Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion ⋮ On the structure of continuum thermodynamical diffusion fluxes -- a novel closure scheme and its relation to the Maxwell-Stefan and the Fick-Onsager approach ⋮ Incompressible limit for a fluid mixture

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