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AMCS Seminar: Entropy and Selection Dynamics

Start Date: September 19, 2018
End Date: September 19, 2018

By Prof. Hailiang Liu (Iowa State University ISU-USA)
We present several integral-differential equations that describe the evolution of a population structured with respect to a continuous trait. Under some assumptions, solutions are shown to converge toward the evolutionary stable distribution, using the tool of relative entropy. Efficient numerical methods for capturing selection dynamics are highly desired for model prediction, and we have developed entropy satisfying finite volume methods with provable nice properties. The role of nonlinear competition will also be discussed.
Bio: Dr. Hailiang Liu is a Mathematics Professor at the Iowa State University (ISU) and the Holl Chair in Applied Mathematics from 2002-2012. He received his Master degree in Applied Mathematics from Tsinghua University of China in 1988, and Ph.D. degree from the Chinese Academy in 1995; while he held professorship positions at Henan Normal University from 1989-1996. He received an Alexander von Humboldt-Research Fellowship in 1996 that allowed him to conduct research in Germany from 1997-1999. He joined UCLA as a CAM Assistant Professor from 1999-2002. He then came to Iowa State University as an Associate Professor in 2002, moving up to Full Professor in 2007. Liu’s primary research interests include analysis of applied partial differential equations, the development of novel, high order algorithms for the approximate solution of these problems, and the interplay between analytical theory and computational aspects of such algorithms with applications to shock waves, kinetic transport, level set closure, propagation of critical thresholds and recovery of high frequency wave fields. Liu serves on the editorial board of the JMAA journal and has given many invited lectures, including the invited addresses in the international conference on hyperbolic problems in 2002 and 2018. Liu published more than 120 research papers, mostly in Numerical Analysis and Applied Partial Differential Equations.

More Information:

For more info contact: Prof. Athanasios Tzavaras: email:
Date: Wednesday 19th Sep 2018
Time:04:00 PM - 05:00 PM
Location: Location: Building 1, Level 3, Room 3119
Refreshments: Will be Served