Abstract
Existence and nonexistence of solutions (both stationary and evolution) for a parabolic-elliptic system describing a cloud of self-interacting particles surrounding a fixed mass are studied. In particular, sharp conditions for local-in-time and global-in-time existence, as well as finite-time blow up are given.
Citation
Piotr Biler. Tadeusz Nadzieja. "A nonlocal singular parabolic problem modelling gravitational interaction of particles." Adv. Differential Equations 3 (2) 177 - 197, 1998. https://doi.org/10.57262/ade/1366399895
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