Wen Shen:Applications of Conservation Laws to Granular Flow and Slow Erosion(下午3:30-4:30)

2011-04-19 来源:数学科学研究中心

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题 目: Applications of Conservation Laws to Granular Flow and Slow Erosion
时 间: 2011-04-20 , 3:30-4:30pm
报告人单位: Department of Mathematics, Penn State University
报告人: Prof. Wen Shen
报告摘要: In this talk we first present a PDE model for granular flow, which is a non-linear 2x2 system of balance laws. Recent results on time-depend solutions will be explained. We also derive a scalar integro-differential equation for the slow erosion profile. Recent results regarding their mathematical aspects will be presented, and some open problems will be suggested at the end.  Some of the results are joint work with Debora Amadori (L'Aquila, Italy) and Tianyou Zhang (Penn State, USA).