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发表时间:2017-06-16 阅读次数:339次
报告题目: The mathematical theory of small-scale dependent shock waves. An overview
报 告 人:Philippe G. LeFloch
报告人所在单位: University of Paris 6 and CNRS
报告日期:2017-06-16 星期五
报告时间:8:30
报告地点:光华东主楼1801
  
报告摘要:

Small-scale sensitive shock waves to nonlinear hyperbolic systems of partial differential equations often arise in continuum physics, especially in the study of complex fluid flows and in phase transition dynamics modeled by hyperbolic systems of conservation laws. The selection and dynamics of shocks may be driven by “small” viscosity and capillarity terms, which should not be neglected at the “hyperbolic” level of modeling. I will give here an overview of the analysis methods and computational algorithms which have been developed in the past twenty years (Riemann problems, Glimm method, total variation functionals, structure-preserving schemes, etc.) in order to investigate these nonclassical entropy solutions to hyperbolic systems of conservation laws. Blog:philippelefloch.org.

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本年度学院报告总序号:119

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