On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior

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Title: On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior
Authors: Carrillo, JA
Choi, Y-P
Zatorska, E
Item Type: Working Paper
Abstract: 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 explicit form of solution in Lagrangian coordinates which enables us to study the time-asymptotic behavior of classical solutions with the initial data in the subcritical region.
Issue Date: 1-Jan-2016
URI: http://hdl.handle.net/10044/1/32181
Copyright Statement: © The Author
Keywords: math.AP
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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