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Uncertainty Quantification for Kinetic Equations
Date:2018/7/9     Browse:890

Speaker:     Prof. Shi Jin. UW

Time:          16:00—17:00, July 9 

Location:    Auditorium, SIST Building

Host:          Prof. Qifeng Liao

Abstract:

Kinetic equations describe dynamics of probability density distributions of large number of particles, and have classical applications in rarified gas, plasma, nuclear engineering and emerging ones in biological and social sciences. Since they are not first principle equations, rather are usually derived from mean field approximations of Newton's second law, thus contain inevitably uncertainties in collision kernel, scattering coefficients, initial and boundary data, forcing and source terms. In this talk we will review a few recent results for kinetic equations with random uncertainties. We will extend hypocoercivity theory, developed for deterministic kinetic equations, to study local sensitivity, regularity, local time behavior of the solutions in the random space, and also establish corresponding theory for their numerical approximations.

Bio: 

 Education and Academic Experiences:


    B.S. in Computational Math, 1983, Peking University

    Ph.D. in Applied Math, 1991, University of Arizona. Advisor: C. David Levermore .

    Postdoc., 9/1991-8/1993, Courant Institute , New York University. Supervisor: George C. Papanicolaou .


    Assistant Professor, 1993-1998, Georgia Institute of Technology

    Associate Professor, 1998-2000, Georgia Institute of Technology

    Professor, 2000--, University of Wisconsin-Madison

    Chair, Department of Mathematics, 2008--2011, University of Wisconsin-Madison

    Chair, Department of Mathematics, 2011--2014, Shanghai Jiao Tong University , China

    Vilas Distinguished Achievement Professor, 2015--, University of Wisconsin-Madison


Honors, Awards and Fellowships:


    Sigma Xi Young Faculty Award, Georgia Tech, 1997

    Feng Kang Prize for Scientific Computing, Chinese Academy of Sciences, 2001

    The Ministry of Education of China Changjiang Visiting Chair Professor, 2001--2006, Tsinghua University, China

    Distinguished Overseas Young Scientist Award , National Science Foundation of China, 2002-2005.

    Van Vleck Distinguished Research Prize, Department of Mathematics, University of Wisconsin-Madison, 2007-2011.

    Morningside Silver Medal of Mathematics, Fourth International Congress of Chinese Mathematicians, Dec. 2007.

    Copernicus Visiting Scientist,, University of Ferrara, Italy, June 2010

    Vilas Associate Award,, University of Wisconsin-Madison, 2010-2012

    Supervised a National Excellent Doctoral Thesis of China (honorable mention), Ministry of Education of China, 2012

    Inaugural class of Fellow of the American Mathematical Society (AMS Fellow), 2012.

    Fellow of the Society for Industrial and Applied Mathematics (SIAM Fellow), 2013.

    Vilas Distinguished Achievement Professorship, University of Wisconsin-Madison, 2015.

    Nelder Visiting Fellow, Imperial College, London, UK, 2018.

    Invited Speaker, International Congress of Mathematicians (ICM) , Rio de Janeiro, Brazil, 2018. 

SIST-Seminar 18062