Global existence and convergence to steady states in a chemorepulsion system
By Tomasz Cieślak, Philippe Laurençot, Cristian Morales-Rodrigo. 2008
103 citations recorded by the source corpus.
Subfields: Mathematical Physics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/d3c43bdff31c7e01ad8914393a546e2db0815228
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
In Modeling and Simulation
- Michael Winkler
- Hai-yang Jin
- Zhian Wang
- Johannes Lankeit
- Zhaoyin Xiang
- Yulan Wang
- Youshan Tao
- Genglin Li
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Asymptotic dynamics of the one‐dimensional attraction–repulsion Keller–Segel model (2015, background): “, < 0), the classical global uniformin-time solutions in two dimensions and weak solutions in three and four dimensions were established in [7].”
- Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals (2015, background): “6), solutions are global and stabilize toward a constant equilibrium when n ≤ 2, while if n ∈ {3, 4} then at least certain global generalized solutions can be constructed ([6], cf.”
- Initial–boundary value problems for a system of hyperbolic balance laws arising from chemotaxis (2015, background): “A few results on repulsive chemotaxis have been developed recently, see [6,28] and the references therein.”
- Large time behavior in a predator-prey system with indirect pursuit-evasion interaction (2017, background): “homogeneous equilibrium in the large time limit ([3]).”
- Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity (2018, background): “We are now prepared to trace the evolution of the superlinear functional ∫ Ω nε lnnε which has turned out to be fruitful in numerous previous works on chemotaxis systems especially, but not exclusively, in two-dimensional situations ([38], [7], [3]).”
- Global boundedness in a fully parabolic attraction–repulsion chemotaxis model (2015, background): “Compared with the aforementioned two-dimensional result in [13], Theorem 1.”
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source (2010, background): “That this should be true at least for negative is suggested by the fact that in that case it is known that in the borderline case f ≡ 0 at least global weak solutions always exist [2].”