Global existence and weak-strong uniqueness for chemotaxis compressible Navier-Stokes equations modeling vascular network formation

DOI10.1007/s00021-023-00840-5arXiv2307.03412OpenAlexW4391011550WikidataQ129929691 ScholiaQ129929691MaRDI QIDQ6152553

Ansgar Jüngel, Xiaokai Huo

Publication date: 12 March 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.03412

zbMATH Keywords

compressible Navier-Stokes equationsglobal existence of solutionsweak-strong uniquenessrelative energychemotaxis force

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Physiological flows (76Z05) Physiological flow (92C35) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Compressible Navier-Stokes equations (76N06)

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