On the global existence of solutions for a non-local problem occurring in statistical mechanics

DOI10.1016/j.na.2004.11.021zbMath1065.35065OpenAlexW1965599376MaRDI QIDQ1776923

Carole Rosier, Lionel Rosier

Publication date: 12 May 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.11.021

zbMATH Keywords

elliptic-parabolic systemSmoluchowski-Poisson systemself-gravitating particles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)

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