On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
نویسندگان
چکیده
منابع مشابه
On the pressureless damped Euler-Poisson equations with quadratic confinement: critical thresholds and large-time behavior
We analyse the one-dimensional pressureless Euler-Poisson equations with a linear damping and non-local interaction forces. These equations are relevant for modelling collective behavior in mathematical biology. We provide a sharp threshold between the supercritical region with finite-time breakdown and the subcritical region with global-in-time existence of the classical solution. We derive an...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2016
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202516500548