Abstract
We study a drift-diffusion system on bounded domain in twospace dimension. This model is provided with a hetero-separative and homoaggregative feature subject to a gradient of physical or chemical potential which is proportional to their densities. We extend a criterion of global-in-time existence of the solution, especially for non-radially symmetric case. Then we perform the blowup analysis such as the formation of collapses and collapse mass separations. A slightly different model describing cross chemotaxis is also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 2627-2644 |
| Number of pages | 18 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 12 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Nov 2013 |
| Externally published | Yes |
Keywords
- Blowup threshold
- Chemotaxis
- Drift-diffusion model
- Formation of collapse
- Mass separation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics