Conservation Laws with Discontinuous Gradient Dependent Flux

主讲人：沈文 宾夕法利亚州立大学教授

时间：2025年5月9日10：00

地点：徐汇校区三号楼332室

举办单位：数理学院

主讲人介绍：沈文，宾夕法利亚州立大学教授。研究兴趣：非线性偏微分方程——双曲守恒律、带间断项常微分方程、Differential Games and applications (fishery) 等。特别地，在交通流、数值计算方面做出了很多重要工作。多次获得宾夕法尼亚州立大学教学奖。

内容介绍：In this talk we consider a scalar conservation law with flux functions depending on the gradient of the conserved quantity discontinuously. One application of such a model is traffic flow with hysteresis, where the drivers behaves differently in acceleration and deceleration modes. We explorer definition of solutions in various cases, and some existence and uniqueness results will be presented.