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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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Official URL: http://www.sciencedirect.com/science/journal/00220396
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 |
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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: | 12 Dec 2018 15:07 |
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