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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

preprint2016arXivOpen access
Kevin Zumbrun
math.AP
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Kevin Zumbrun

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