Biblioteca de la Universidad Complutense de Madrid

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

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Bodnar, Marek y 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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URL Oficial: http://www.sciencedirect.com/science/journal/00220396



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Interacting Diffusion-Processes; Porous-medium Equation; Behavior; Law
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:12483
Depositado:28 Mar 2011 10:58
Última Modificación:06 Feb 2014 09:25

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