Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
By Youshan Tao, Michael Winkler. 2017
133 citations recorded by the source corpus.
Subfields: Genetics, Modeling and Simulation, Molecular Biology
View Paper: https://www.semanticscholar.org/paper/71804c9b90a1ce4147a18535491bebcab3120fc1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Genetics
In Modeling and Simulation
- Michael Winkler
- Genglin Li
- Zhian Wang
- Wenbin Lyu
- Philippe Laurençot
- Jie Jiang
- Martin Burger
- Ariane Trescases
In Molecular Biology
- Michael Winkler
- Genglin Li
- Zhian Wang
- Philippe Laurençot
- Wenbin Lyu
- Jie Jiang
- Martin Burger
- Ariane Trescases
Citations in the corpus
- Delayed blow‐up for chemotaxis models with local sensing (2020, background): “Both works [9,33] rely on duality and energy techniques (but not on an entropy in the strict sense of the term).”
- Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility (2021, background): “In [33], the motility γ is assumed to range in a closed interval of (0,∞), thereby excluding the possibility of degeneracy and global classical solutions in two-space dimension, as well as global weak solutions in higher dimensions, were obtained.”
- Logistic damping effect in chemotaxis models with density-suppressed motility (2021, background): “It was first shown in [36] that globally bounded solutions exist in two dimensions if the motility function γ(v) has both positive lower and upper bounds.”
- Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities (2022, background): “also [19], [21], [38], [45], [28], [29] and [30] for corresponding studies on some close relatives), but also on large time asymptotics, and especially on the identification of situations in which either stabilization toward equilibria can be observed, or, alternatively, infinite-time blow-up occurs”
- Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities (2022, background): “1) ([9], [1], [8], [28], [2], [3]), as well as some close variants ([12], [6], [11], [14], [30], [37], [22], [23]); beyond this, results on spatially structured large time behavior, and even on the occurrence of infinite-time blow-up ([7], [9], [13], [1], [4]), provide conclusive evidence for signif”