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Zu Chongzhi Distinguished Lecture ——Math-Physics Series

Jul 30, 2020 9:00 – 10:30 am, US Eastern time; 9:00 – 10:30 pm, China time

 

CDF: a theory of mathematical modeling for irreversible processes

Wen-An Yong, Tsinghua University

Abstract: In this talk, I will introduce our CDF (conservation-dissipation formalism) theory of irreversible thermodynamics. As a learning-based method, CDF produces systems of evolution first-order PDEs modeling irreversible flow processes, while its combination with the Maxwell iteration yields second-order PDEs. A model for compressible viscoelastic fluid flows will be presented to demonstrate the significance of the method. I will also show the compatibility of a system of CDF-based PDEs with the Navier-Stokes equations. In addition, it will be seen that the CDF provides a suitable framework for discovering PDEs via machine learning.

 

Slides for the talk (click)

Recorded video for the talk (click)

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