A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion
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Publication:6200389
DOI10.4171/aihpc/73arXiv2209.12724OpenAlexW4318311461MaRDI QIDQ6200389
Publication date: 22 March 2024
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.12724
Maximum principles in context of PDEs (35B50) 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
- Persistence of mass in a chemotaxis system with logistic source
- Gaussian lower bound for the Neumann Green function of a general parabolic operator
- Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Résolution de problèmes elliptiques quasilineaires
- The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
- Asymptotic homogenization in a three-dimensional nutrient taxis system involving food-supported proliferation
- Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
- Asymptotic behavior of a quasilinear Keller-Segel system with signal-suppressed motility
- Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities
- Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments
- Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
- Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
- Boundedness and exponential stabilization in a parabolic-elliptic Keller-Segel model with signal-dependent motilities for local sensing chemotaxis
- Global existence for a class of chemotaxis systems with signal-dependent motility, indirect signal production and generalized logistic source
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- A logarithmic chemotaxis model featuring global existence and aggregation
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Stabilization in a chemotaxis model for tumor invasion
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- 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
- Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities?
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
