Boundedness of classical solutions to a chemotaxis consumption system with signal dependent motility and logistic source
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Publication:6122544
DOI10.5802/crmath.519OpenAlexW4388766348MaRDI QIDQ6122544
Publication date: 1 March 2024
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/crmath.519
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Initiation of slime mold aggregation viewed as an instability
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility
- Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
- Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- Boundedness vs. blow-up in a chemotaxis system
- Global solutions to a chemotaxis-growth system with signal-dependent motilities and signal consumption
- Global existence and uniform boundedness in a fully parabolic Keller-Segel system with non-monotonic signal-dependent motility
- Bacterial swimming and oxygen transport near contact lines
- LPBounds of solutions of reaction-diffusion equations
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Blow‐up phenomena for a class of fourth‐order nonlinear wave equations with a viscous damping term
- Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
- Boundedness of classical solutions for a chemotaxis system with general sensitivity function
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Global existence and boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant and logistic source
- Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary
- Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions
- Critical mass on the Keller-Segel system with signal-dependent motility
- Global weak solution for a chemotaxis Navier-Stokes system with \(p\)-Laplacian diffusion and singular sensitivity
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