报告摘要：In this talk, we will consider the fully parabolic chemotaxis system withmulti-componentsinR^2. The optimal mass condition on the global existence of solution for multi-species chemotaxis model inthe fully parabolic situation had not been attained as far as the authors know. Here we prove that under thesub-critical mass condition, the solution to conflict-free system exists globally. Moreover, the global existence of solution to system with strong self-repelling effect has been discussed even for large initial data. The proof is based on the modified free energy functional and the Moser-Trudinger inequality for system.

报告人简介：林可，博士，西南财经大学数学学院教授。西南财经大学光华英才工程百人计划入选者。主要研究领域为非线性偏微分方程和生物数学的定性研究。在CVPDE、EJAM等重要学术刊物上发表学术论文30余篇，曾先后主持完成了2项国家及省部级科研项目。

主要研究方向：微分方程及其应用

报告时间：2024.11.04（周一），上午9:45—11：00

报告地点：东一309

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