Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers
Analysis of PDEs
2016-12-21 v1
Abstract
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
Keywords
Cite
@article{arxiv.1612.06489,
title = {Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers},
author = {Kevin Zumbrun},
journal= {arXiv preprint arXiv:1612.06489},
year = {2016}
}
Comments
Conference proceedings, XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications. Aachen