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)
