Ronghua Pan

Isentropic Approximation

Abstract: 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.