Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers
classification
🧮 math.AP
keywords
equationskineticclassdegenerateevolutionstructurearisingasymptotic
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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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