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Details for article 43 of 89 found articles
| Title: |
Local and Global Existence for an Aggregation Equation |
| Author: |
Laurent, Thomas |
| Appeared in: |
Communications in partial differential equations |
| Paging: | Volume 32 (2007) nr. 12 pages 1941-1964 |
| Year: |
2007-12 |
| Contents: |
The purpose of this work is to develop a satisfactory existence theory for a general class of aggregation equations. An aggregation equation is a non-linear, non-local partial differential equation that is a regularization of a backward diffusion process. The non-locality arises via convolution with a potential. Depending on how regular the potential is, we prove either local or global existence for the solutions. Aggregation equations have been used recently to model the dynamics of populations in which the individuals attract each other (Bodnar and Velazquez, 2005; Holm and Putkaradze, 2005; Mogilner and Edelstein-Keshet, 1999; Morale et al., 2005; Topaz and Bertozzi, 2004; Topaz et al., 2006). |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 43 of 89 found articles
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