| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613683 | Journal of Differential Equations | 2006 | 40 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
