Global solvability in a two-species chemotaxis system with signal production
Analysis of PDEs
2023-01-18 v2
Abstract
In this work, we study the Neumann initial-boundary value problem for a two-species chemotaxis system with Lotka-Volterra competition and signal production. Under a rather weak and clean condition of sub-quadratic type damping and merely integrable initial data, we establish the global existence of generalized solutions in an N dimensional bounded and smooth domain.
Keywords
Cite
@article{arxiv.2109.15194,
title = {Global solvability in a two-species chemotaxis system with signal production},
author = {Guoqiang Ren and Tian Xiang},
journal= {arXiv preprint arXiv:2109.15194},
year = {2023}
}
Comments
Acta Appl. Math. 178 (2022), Paper No. 12, 26 pp