On radial migration of dense regions and objects and local unstability of accreting systems

Abstract

I have used a newtonian infinite body problem to model a protoplanitary-like hot accretion disk and added terms of laminar and Stokes friction. Then I used qualitative methods to show the unstability of local regions leading to a lemma of radial migration and local unstability in hot, proto-planetary-like accretion disks. Then I considered a general infinite body problem with a position dependent, gravitation-like force and a general perturbating term.