Existence of solutions for a model of self-gravitating particles with external potential

• Autorzy: Andrzej Raczyński
• Języki publikacji: EN

Abstrakty

EN

We study the existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential. The initial data are in spaces of (generalized) pseudomeasures. We prove existence of local and global-in-time solutions, and also a kind of stability of global solutions.

Kategorie tematyczne

• 35K15: Initial value problems for second-order parabolic equations
• 82C21: Dynamic continuum models (systems of particles, etc.)
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 66
• Numer: 1
• Strony: 263-275

Daty

wydano

2004

Twórcy

autor

Andrzej Raczyński

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

Identyfikatory

DOI

10.4064/bc66-0-18