In the study of compressible flows, the isentropic model was often used to replace the more complicated full system when the entropy is near a constant. This is based on the expectation that the corresponding isentropic model is a good approximation to the full system when the entropy is sufficiently close to the constant. We will discuss the mathematical justification of isentropic approximation in Euler flows and in Navier-Stokes-Fourier flows. This is based on the joint work with Y. Chen, J. Jia, and L. Tong.
USTC, Bachelor, Master, 1989--1995
Chinese Academy of Sciences, Ph. D 1995--1998
SISSA, Postdoc, 1998--2000
University of Michigan, Assistant Professor, 2000--2003
Georgia Tech, Assistant Professor, 2003--2007, Associate Professor, 2007--2011
Full Professor, 2011--present.