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Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion: Global solvability in a three-dimensional self-consistent chemotaxis-Navier-Stokes system with porous medium diffusion

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Τίτλος: Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion: Global solvability in a three-dimensional self-consistent chemotaxis-Navier-Stokes system with porous medium diffusion
Συγγραφείς: Chao Liu, Bin Liu
Πηγή: Mathematical Models and Methods in Applied Sciences. 34:1825-1860
Στοιχεία εκδότη: World Scientific Pub Co Pte Ltd, 2024.
Έτος έκδοσης: 2024
Θεματικοί όροι: self-consistent, Quasilinear parabolic equations, chemotaxis-Navier-Stokes system, porous medium diffusion, Cell movement (chemotaxis, etc.), weak solution, Initial-boundary value problems for second-order parabolic systems, 0101 mathematics, Weak solutions to PDEs, PDEs in connection with fluid mechanics, 01 natural sciences
Περιγραφή: This paper mainly deals with a self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion in a three-dimensional (3D) bounded and smooth domain. The novelty here is that both the effect of gravity (potential force) on cells and the effect of the chemotactic force on fluid are considered, which leads to stronger coupling than the usual chemotaxis-fluid model studied in most existing literatures. It is proved that for any suitably regular initial data, the associated no-flux/no-flux/Dirichlet problem possesses at least one global weak solution or global very weak solution. To the best of our knowledge, this is the first result on the global solvability of the 3D self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion. Our results inter alia provide a more in-depth understanding on the chemotaxis-Navier–Stokes system, and significantly improve previously known ones.
Τύπος εγγράφου: Article
Περιγραφή αρχείου: application/xml
Γλώσσα: English
ISSN: 1793-6314
0218-2025
DOI: 10.1142/s0218202524500374
Σύνδεσμος πρόσβασης: https://zbmath.org/7938956
https://doi.org/10.1142/s0218202524500374
Αριθμός Καταχώρησης: edsair.doi.dedup.....bac23a5beedbbd6fb622713fae6c0424
Βάση Δεδομένων: OpenAIRE
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  Data: This paper mainly deals with a self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion in a three-dimensional (3D) bounded and smooth domain. The novelty here is that both the effect of gravity (potential force) on cells and the effect of the chemotactic force on fluid are considered, which leads to stronger coupling than the usual chemotaxis-fluid model studied in most existing literatures. It is proved that for any suitably regular initial data, the associated no-flux/no-flux/Dirichlet problem possesses at least one global weak solution or global very weak solution. To the best of our knowledge, this is the first result on the global solvability of the 3D self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion. Our results inter alia provide a more in-depth understanding on the chemotaxis-Navier–Stokes system, and significantly improve previously known ones.
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      – TitleFull: Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion: Global solvability in a three-dimensional self-consistent chemotaxis-Navier-Stokes system with porous medium diffusion
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