Abstract
This paper is dedicated to the analysis of the Cauchy problem for a chemotaxis-Navier–Stokes system modeling coral fertilization in spatial dimensions two and three. We first present the unique local solvability of a smooth solution to the system for large initial data and then establish some blow-up criteria of the solution. In the whole plane, the global existence of smooth solutions to the model for a large class of initial data is constructed. Finally, we also prove the global existence of smooth solutions under the some explicit smallness conditions of initial data. In particular, we present the time decay rates of the solution in L∞ by using the De Giorgi method.
Published Version
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.
