Academic Journal
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
| 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 |
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| 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 |
| ISSN: | 17936314 02182025 |
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| DOI: | 10.1142/s0218202524500374 |