Advances in Differential Equations
- Adv. Differential Equations
- Volume 9, Number 5-6 (2004), 563-586.
On an evolution system describing self-gravitating Fermi-Dirac particles
The global-in-time existence of solutions for a system describing the interaction of gravitationally attracting particles that obey the Fermi--Dirac statistics is proved. Stationary solutions of that system are also studied.
Adv. Differential Equations Volume 9, Number 5-6 (2004), 563-586.
First available in Project Euclid: 18 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35B40: Asymptotic behavior of solutions 35K60: Nonlinear initial value problems for linear parabolic equations 82C21: Dynamic continuum models (systems of particles, etc.)
Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz. On an evolution system describing self-gravitating Fermi-Dirac particles. Adv. Differential Equations 9 (2004), no. 5-6, 563--586. https://projecteuclid.org/euclid.ade/1355867936.