Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
From MaRDI portal
Publication:2094287
DOI10.1016/j.na.2022.113153zbMath1501.35057arXiv2202.10246OpenAlexW4281627463MaRDI QIDQ2094287
Michael Winkler, Laurent Desvillettes, Ariane Trescases, Philippe Laurençot
Publication date: 28 October 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.10246
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)
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Cites Work
- Unnamed Item
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Semigroups of linear operators and applications to partial differential equations
- Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces \(L^ p\). (Evolution equations associated to contraction semigroups in \(L^ p\) spaces)
- Compact sets in the space \(L^ p(0,T;B)\)
- Large amplitude stationary solutions to a chemotaxis system
- Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- Global existence of weak solutions to a signal-dependent Keller-Segel model for local sensing chemotaxis
- Logistic damping effect in chemotaxis models with density-suppressed motility
- Global classical solutions for a class of reaction-diffusion system with density-suppressed motility
- Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- A logarithmic chemotaxis model featuring global existence and aggregation
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization
- Delayed blow‐up for chemotaxis models with local sensing
- Steady states and pattern formation of the density-suppressed motility model
- Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption
- Critical mass on the Keller-Segel system with signal-dependent motility
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops