Walker, Ch (2004). Asymptotic behaviour of liquid-liquid dispersions. Proceedings of the Royal Society of Edinburgh: Section A, 134(4):753-772.
Based on earlier results on existence, we study the asymptotic behaviour of solutions to the coalescence-breakage equations, including the volume-scattering phenomenon and high-energy collisions. The solutions are shown to converge towards one particular equilibrium, provided the kernels satisfy a kind of reversibility. We also derive stability of these equilibria in a suitable topology.
Based on earlier results on existence, we study the asymptotic behaviour of solutions to the coalescence-breakage equations, including the volume-scattering phenomenon and high-energy collisions. The solutions are shown to converge towards one particular equilibrium, provided the kernels satisfy a kind of reversibility. We also derive stability of these equilibria in a suitable topology.
| 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 > General Mathematics |
| Language: | English |
| Date: | 2004 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 23 Jan 2022 14:36 |
| Publisher: | Royal Society of Edinburgh |
| ISSN: | 0308-2105 |
| Additional Information: | Copyright © Royal Society of Edinburgh 2004 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1017/S0308210500003462 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2079804 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1053.76066 |
Walker, Ch