17 citations · 19 across the 15 of their papers we have counts for
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Bargmann-Fock Representation and Global Estimates for the Linearized Hard-Sphere Boltzmann Operator
Ilya Karlin
We study the linearized Boltzmann collision operator for three-dimensional hard spheres and reorganize the complete operator so that its angular and radial structures are explicit…
Fock-Space Formulation of the Boltzmann Collision Operator for Maxwell Molecules
Ilya Karlin
We develop a representation-independent symmetric-Fock formulation of the nonlinear Boltzmann collision operator for Maxwell molecules. Starting from the standard velocity-space op…
On the Relation of Exact Hydrodynamics to the Chapman-Enskog Series
Florian Kogelbauer, Ilya Karlin
We demonstrate that the Chapman-Enskog series is locally equivalent to the exact spectral closure defined on slow kinetic eigenmodes in the limit of vanishing Knudsen number. We fu…
Exact Hydrodynamic Manifolds for the Linear Boltzmann BGK Equation I: Spectral Theory
Florian Kogelbauer, Ilya Karlin
We perform a complete spectral analysis of the linear three-dimensional Boltzmann BGK operator resulting in an explicit transcendental equation for the eigenvalues. Using the theor…