On some parabolic-elliptic system with self-similar pressure term
Volume 74 / 2006
Banach Center Publications 74 (2006), 205-215
MSC: 35Q, 35K60, 82C21.
DOI: 10.4064/bc74-0-13
Abstract
A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi–Dirac statistics or a polytropic one.
