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An integro-differential equation arising as a limit of individual cell-based models

Bodnar, Marek and Velázquez, J.J. L. (2006) An integro-differential equation arising as a limit of individual cell-based models. Journal of Differential Equations, 222 (2). pp. 341-380. ISSN 0022-0396

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Abstract

In this paper, we study mathematical properties of an integro-differential equation that arises as a particular limit case in the study of individual cell-based model. We obtain global well-posedness for some classes of interaction potentials and finite time blow-up for others. The existence of space homogeneous steady states as well as long-time asymptotics for the solutions of the problem is also discussed.


Item Type:Article
Uncontrolled Keywords:Interacting Diffusion-Processes; Porous-medium Equation; Behavior; Law
Subjects:Sciences > Mathematics > Differential equations
ID Code:12483
Deposited On:28 Mar 2011 10:58
Last Modified:06 Feb 2014 09:25

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