On the pressureless damped Euler-Poisson equations with quadratic confinement: critical thresholds and large-time behavior

We analyze the one-dimensional pressureless Euler-Poisson equations with linear damping and nonlocal interaction forces. These equations are relevant for modeling collective behavior in mathematical biology. We provide a sharp threshold between the supercritical region with finite-time breakdown and...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Carrillo. JA, Choi, Y-P, Zatorska, E
Format: Journal article
Sprache:English
Veröffentlicht: World Scientific Publishing 2016