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AMCS Seminar | Half space kinetic equation and kinetic-fluid coupling

Start Date: March 23, 2016
End Date: March 23, 2016



​​By Dr.
Qin Li (University of Wisconsin-Madison )
 
 
 
Many kinetic equations have the corresponding fluid limit. In the zero limit of the Knudsen number, one derives the Euler equations out of the Boltzmann equation and the heat equation out of the neutron transport equation. While there are good numerical solvers in both regimes, it is not quite well-understood when the two regimes co-exist. In this talk, we model the layer between the fluid and the kinetic using a half-space kinetic equation, study the well-posedness, design a numerical solver, and utilize it to couple the two sets of equations that govern separate domains.any kinetic equations have the corresponding fluid limit. In the zero limit of the Knudsen number, one derives the Euler equations out of the Boltzmann equation and the heat equation out of the neutron transport equation. While there are good numerical solvers in both regimes, it is not quite well-understood when the two regimes co-exist. In this talk, we model the layer between the fluid and the kinetic using a half-space kinetic equation, study the well-posedness, design a numerical solver, and utilize it to couple the two sets of equations that govern separate domains.
 

Biography: Qin Li finished her Ph.D. at University of Wisconsin-Madison with Excellence in Research Award in 2013. She spent two years working as von Karman instructor afterwards at California Institute of Technology, and started her tenure track assistant professorship at UW-Madison in 2015

More Information:

For more info contact: Professor Peter A. Markowich; email: Peter.Markowich@kaust.edu.sa

Date: Wednesday 23rd March 2016
Time: 15:00 - 14:00
Location: Building 1, Level 4 Room 4214
Refreshmentswill be available at 14:45