Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers

2016/12/19 by Kevin Zumbrun, Zumbrun, Kevin
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Gas Dynamics and Kinetic Theory #Mathematical Biology Tumor Growth #math.AP

paper · pdf · doi:10.48550/arxiv.1612.06489

Conference proceedings, XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications. Aachen

arxiv created 2016/12/20 · arxiv updated 2016/12/21

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

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