Stationary solutions of the generalized Smoluchowski-Poisson equation

• Autorzy: Robert Stańczy
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 47J30: Variational methods
• 82C21: Dynamic continuum models (systems of particles, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 493-500

Daty

wydano

2008

Twórcy

autor

Robert Stańczy

• Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/bc81-0-31