中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: 陈秀卿 教授 （中山大学）

Inviter: 郝成春

Language: Chinese

Title: Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems

Time & Venue: 2026年1月30日（星期五）9：00-10：00 & 南楼N913

Abstract: The continuous dependence on the initial data and consequently the uniqueness of bounded weak solutions to a class of triangular reaction-cross-diffusion equations is shown. The class includes two-species doubly degenerate equations for nutrient taxis models describing the response of bacteria to nutrient conditions. The key difficulty is the lack of a gradient bound for the difference of the first component of the solution, due to the degeneracy. This issue is overcome by assuming a nonstandard Lipschitz-type condition, applying the method, and carefully combining various estimations.