Absence of collapse in a parabolic chemotaxis system with signal‐dependent sensitivity

By Michael Winkler. 2010

205 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Modeling and Simulation, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/ecb81b170103a5caad7c6e68c6d3e30a141c7471

How researchers see this paper

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

In Computational Theory and Mathematics

1. Mario Fuest
2. Kentarou Fujie
3. Tomomi Yokota
4. Junping Shi
5. Michael Winkler
6. Sainan Wu
7. Boying Wu
8. Johannes Lankeit

In Modeling and Simulation

1. Michael Winkler
2. Mario Fuest
3. Kentarou Fujie
4. Tomomi Yokota
5. Boying Wu
6. Junping Shi
7. Sainan Wu
8. Johannes Lankeit

In Molecular Biology

1. Mario Fuest
2. Michael Winkler
3. Kentarou Fujie
4. Tomomi Yokota
5. Junping Shi
6. Sainan Wu
7. Boying Wu
8. Johannes Lankeit

Citations in the corpus

• Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis ✩ (2016, methodology): “We will use a weight function φ(v) similar to the one in [43,53] in the energy estimate.”
• Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant (2012, unknown): “Similar functionals have previously been used to derive regularity in [20].”
• Global solutions in a fully parabolic chemotaxis system with singular sensitivity (2011, background): “2 in [7] to obtain global existence of classical solutions to (2): Lemma 2.”