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math-ph2026
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…
math-ph2026
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…