报告人：李庚霖

邀请人：方玉周

报告题目：Global Solvability of a Two-Dimensional Nutrient-Taxis Model with Degenerate Diffusion and Logistic Growth

摘  要：This talk presents recent advances in the mathematical analysis of a nutrient taxis system characterized by doubly degenerate diffusion and logistic proliferation. The model, motivated by the behavior of bacteria in nutrient-poor environments, introduces a novel 'cross-degeneracy,' which contrasts sharply with conventional chemotaxis-consumption models with non-degenerate diffusion, particularly in terms of the asymptotic behavior of solutions. In the first part of the talk, we will discuss some recent analytical results on cross-degeneracy. In the second part, we will focus on establishing the global existence of continuous weak solutions, demonstrating how the inclusion of a logistic growth term prevents blow-up and ensures global solvability.

报告时间：2024年11月27 日16：00——17：30

报告地点：腾讯会议   会议号：138445822

报告人简介： 李庚霖，东华大学博士毕业，现于上海交通大学从事博士后研究。研究方向为趋化数学模型的分析，目前已在 CVPDE、JDE 等国际期刊发表多篇论文，并主持国家自然科学基金青年项目和博士后特别资助基金。