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KRM

The linear and the linearized Boltzmann collision operators for hard
spheres are studied by a method based on reduction of integral
equations to differential equations. We use this approach (in
combination with numerical methods) to study the eigenvalues of the
operators. We also use the differential equations to investigate large
energy asymptotics of solutions to linear integral equations related
to the Chapman-Enskog expansion.

DCDS

In this paper we consider Lie group symmetries of evolution
equations with non-local operators in context of applications to
nonlinear kinetic equations. As an illustration we consider the
Boltzmann equation and calculate the admitted group of point
transformations.

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