Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source

By Tian Xiang. 2015

127 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/cb5688ddc97608078a28b8ca8708ac6414fdfe6e

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. Sainan Wu
2. Tian Xiang
3. Junping Shi
4. Boying Wu

In Computational Theory and Mathematics

1. Sainan Wu
2. Tian Xiang
3. Junping Shi
4. Boying Wu
5. A. Malchiodi
6. D. Naimen

In Modeling and Simulation

1. Boying Wu
2. Junping Shi
3. Sainan Wu
4. Tian Xiang
5. Michael Winkler
6. Junjie Wei
7. Yuan Lou
8. Biao Wang

Citations in the corpus

• Dynamics in a parabolic-elliptic chemotaxis system with growth source and nonlinear secretion (2019, background): “By [2, 19, 28], it is quite known that the hard task of proving the (L∞,W 1,∞)-boundedness of (u, v) can be reduced to proving only the L-boundedness of the u-component for suitably finite p.”
• Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis ✩ (2016, background): “Global existence, boundedness or blowup of solutions in more general quasilinear parabolic– parabolic chemotaxis systems with nonlinear sensitivity functions and source term have been studied extensively, see for example, [11,12,25,26,34,44,48,49,59,61,62].”