Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose–Einstein condensate

We construct a linearized kinetic equation modeling the behavior of degenerate quantum Bose gases with the collision rate dependent on the momentum of elementary excitations. We consider the general case where the energy of elementary excitations depends on the momentum according to the Bogoliubov formula. We analytically solve the half-space boundary value problem of the temperature jump at the boundary of the degenerate Bose gas in the presence of the Bose–Einstein condensate. We obtain an expression for the Kapitza resistance.