Invariant manifolds for a class of degenerate evolution equations and   structure of kinetic shock layers
  We describe recent results with A. Pogan developing dynamical systems tools for a class of degenerate evolution equations arising in kinetic theory, including the steady Boltzmann and BGK equations. These yield information on structure of large- and small-amplitude kinetic shocks, the first steps in a larger program toward time-evolutionary stability and asymptotic behavior 
Kevin Zumbrun
math.AP