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

Kevin Zumbrun

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arXiv · 1612.06489

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

Kevin Zumbrun

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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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Kevin Zumbrun. 2016-12-20. Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers. https://arxiv.org/abs/1612.06489

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