Hypocoercivity and Sensitivity Analysis in Kinetic Equations and Uncertainty Quantification

Oct 2 - 5, 2017

Department of Mathematics, UW-Madison
University of Wisconsin-Madison

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CONFERENCE SCHEDULE

CONFERENCE LECTURES

ABSTRACT

Kinetic equations, and the corresponding hydrodynamic closures, contain uncertainties due to modeling errors. The uncertainties could arise in collision kernels,  forcing, geometry, or initial and boundary data. Many of such uncertainties can be modeled by random inputs in the coefficients or initial or boundary conditions.  Study the propagations of such uncertainties is important for many  engineering applications. However, research in this direction is still under-developed.

Recent research has found important connections between hypocoercivity and sensitivity analysis for uncertain kinetic equations and the study of their numerical approximations.  The goal of this workshop is to bring together researchers in analysis and computations of kinetic equations to explore the research opportunities in this direction and to foster further collaborations. 

The covered areas include classical and quantum kinetic equations in gas, fluids and plasma,  kinetic and fluid couplings in multiphase flows, and collective and self-organized dynamics in biological and social dynamics.

GOALS

Senior and young researchers will be invited to give lectures on their recent results.  Small working groups will be formed to discuss future research topics.

REGISTRATION CLOSED

ORGANIZERS

CONFIRMED PARTICIPANTS

FUNDING

A limited amount of travel and local lodging is available for researchers in the early stages of their career who want to attend the full program, especially for graduate students and post-doctoral fellows.

INFORMATION FOR PARTICIPANTS

UW-Madison Visitor Guide

Department of Mathematics, UW-Madison (UW-Madison)
Van Vleck Hall, 480 Lincoln Drive
Madison, WI

Email: jin@math.wisc.edu

ACKNOWLEDGMENT

Funding provided by the NSF through the KI-net Grant.