Stationary solutions of the generalized Smoluchowski–Poisson equation
Volume 81 / 2008
Banach Center Publications 81 (2008), 493-500
MSC: 35Q, 35J20, 35J65, 47J30, 82C21.
DOI: 10.4064/bc81-0-31
Abstract
The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski–Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi–Dirac statistic.
