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Global Riemann solver for several 3x3 system of conservation laws with degeneracy

發布者:文明辦發布時間:2019-03-28瀏覽次數:10


主講人:Wen Shen  賓夕法利亞州立大學教授


時間:2019年4月1日14:00


地點:徐匯校區3號樓332


舉辦單位:數理學院


主講人簡介:

賓夕法利亞州立大學教授。研究興趣:非線性偏微分方程——雙曲守恒律、帶間斷項常微分方程、Differential Games and applications (fishery) 等。特別地,在守恒律理論、數值計算方面做出了很多重要工作。多次獲得賓夕法尼亞州立大學教學獎。



內容簡介:

A main building block for the analysis of hyperbolic conservation laws is the solution of the Riemann problem, where the initial data are piecewise constant. In general, when the flux is nonlinear and the system is hyperbolic, solutions for Riemann problems only exist for initial data where the jump is sufficiently small. In this talk we consider several 3x3 systems, some from reservoir simulation and some from traffic flow, with parabolic degeneracy. Thanks to special features in the models, we can construct global Riemann solvers. Further research topics for these equations will also be discussed.


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