Blow-up prevention by logistic sources in a parabolic–elliptic Keller–Segel system with singular sensitivity

By Kentarou Fujie, Michael Winkler, Tomomi Yokota. 2014

104 citations recorded by the source corpus.

Subfields: Cell Biology, Modeling and Simulation, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/7dd7c0dde73d69afdd61e15fc17ad98e61a7be0b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Cell Biology

1. Tian Xiang
2. Johannes Lankeit
3. Michael Winkler
4. Giuseppe Viglialoro
5. Yulan Wang

In Modeling and Simulation

1. Tian Xiang
2. Johannes Lankeit
3. Michael Winkler
4. Giuseppe Viglialoro
5. Yulan Wang
6. Mario Fuest
7. Youshan Tao
8. Zhaoyin Xiang

In Molecular Biology

1. Tian Xiang
2. Johannes Lankeit
3. Michael Winkler
4. Giuseppe Viglialoro

Citations in the corpus

• How strong a logistic damping can prevent blow-up for the minimal Keller–Segel chemotaxis system? (2016, background): “This is even true for a twodimensional parabolic-elliptic chemotaxis system with singular sensitivity [13].”
• A new approach toward boundedness in a two‐dimensional parabolic chemotaxis system with singular sensitivity (2015, background): “Parabolic-elliptic chemotaxis models related to Equation (1) are investigated, for example, in [14], where the presence of such growth terms is used to ensure global existence and boundedness of classical solutions.”