Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka-Volterra competitive kinetics

In this work, we consider the two-species chemotaxis system with Lotka-Volterra competitive kinetics in a bounded domain with smooth boundary. We construct weak solutions and prove that they become smooth after some waiting time. In addition, the asymptotic behavior of the solutions is studied. Our results generalize some well-known results in the literature.

Automated summary

This work addresses a two-species chemotaxis system with Lotka-Volterra competitive kinetics in a bounded domain with smooth boundary. It constructs weak solutions and shows that they become smooth after a certain waiting time, and studies the asymptotic behavior of the solutions. The results generalize some well-known results in the literature.