Weak-$L^{p}$ solutions for a model of self-gravitating particles with an external potential

• Autorzy: Andrzej Raczyński
• Języki publikacji: EN

Abstrakty

EN

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 is studied in weak-$L^{p}$ spaces (i.e. Markiewicz spaces). The main goal is to prove the existence of global solutions and to study their large time behaviour.

Kategorie tematyczne

• 35K57: Reaction-diffusion equations
• 82C21: Dynamic continuum models (systems of particles, etc.)
• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 179
• Numer: 3
• Strony: 199-216

Daty

wydano

2007

Twórcy

autor

Andrzej Raczyński

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

Identyfikatory

DOI

10.4064/sm179-3-1