Analysis of Cross-Diffusion Systems for Fluid Mixtures Driven by a Pressure Gradient

DOI10.1137/19M1301473zbMath1442.35188arXiv1911.10160MaRDI QIDQ5110287

Pierre-Étienne Druet, Ansgar Jüngel

Publication date: 18 May 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10160

zbMATH Keywords

existence of solutionsfluid mixturetransport equationcross-diffusionparabolic-hyperbolic system

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial value problems for mixed-type systems of PDEs (35M31)

Related Items (7)

Analysis of a fractional cross-diffusion system for multi-species populations ⋮ Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics ⋮ Hyperbolic–parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion ⋮ Structure and stability of steady state bifurcation in a cannibalism model with cross-diffusion ⋮ The Aronson-Bénilan estimate in Lebesgue spaces ⋮ The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model ⋮ Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry

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