Asymptotic analysis in thermodynamics of viscous fluids.<br/><br/>Lecture 1

Monday, July 13, 2009 - 2:00pm - 3:00pm
EE/CS 3-180
Eduard Feireisl (Czech Academy of Sciences (AVČR))
Singular limits in the theory of partial differential equations
represent a class of problems, where some parameters in the equations become
small or infinitely large. We discuss the singular limits arising in the scale
analysis of energetically isolated fluid systems. In particular,
the following topics are addressed:

  • functional analytic framework and the basic ideas of the
    theory of continuum fluid mechanics;

  • thermodynamic stability and equilibrium states;

  • low Mach number limits and propagation of acoustic waves in
    conducting viscous fluids

MSC Code: