Abstract
In this paper, we deal with the two-species chemotaxis-competition system with two signals under homogeneous Neumann boundary conditions in a general bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by developing some Lp-estimate techniques, we show that the system possesses at least one global and bounded weak solutions, in addition to discussing the asymptotic behavior of the solutions. Our results generalize and improve previous results. As an application, we apply the existence results to consider the optimal control of the system we considered.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
