Amann, H; Walker, C (2005). Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. Journal of Differential Equations, 218(1):159-186.
We consider the diffusive continuous coagulation–fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.
We consider the diffusive continuous coagulation–fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Coagulation, Fragmentation, Volume scattering, Diffusion, Semigroup theory |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 01 Feb 2010 08:43 |
| Last Modified: | 03 Nov 2023 03:01 |
| Publisher: | Academic Press |
| ISSN: | 0022-0396 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.jde.2004.09.004 |
Amann, H