Well-posedness analysis of multicomponent incompressible flow models

DOI10.1007/s00028-021-00712-3zbMath1504.35293arXiv2005.12052OpenAlexW3163261774WikidataQ122958904 ScholiaQ122958904MaRDI QIDQ2064543

Dieter Bothe, Pierre-Étienne Druet

Publication date: 6 January 2022

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

Full work available at URL: https://arxiv.org/abs/2005.12052

zbMATH Keywords

existenceincompressible fluidfluid mixturestrong solutioncomplex fluidmulticomponent flowlow Mach-number

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Diffusion (76R50) Reaction-diffusion equations (35K57) Navier-Stokes equations (35Q30) Chemically reacting flows (80A32) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Three or more component flows (76T30) 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 (4)

Global-in-time existence for liquid mixtures subject to a generalised incompressibility constraint ⋮ Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics ⋮ Multicomponent incompressible fluids—An asymptotic study ⋮ Incompressible limit for a fluid mixture

Cites Work

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