Abstract
We prove that the time-dependent solutions of a large class of Smoluchowski coagulation equations for multicomponent systems concentrate along a particular direction of the space of cluster compositions for long times. The direction of concentration is determined by the initial distribution of clusters. These results allow to prove the uniqueness and global stability of the self-similar profile with finite mass in the case of coagulation kernels which are not identically constant, but are constant along any direction of the space of cluster compositions.
| Original language | English |
|---|---|
| Journal | Pure and applied analysis |
| Volume | 6 |
| Issue number | 3 |
| Pages (from-to) | 731-764 |
| Number of pages | 34 |
| ISSN | 2578-5893 |
| DOIs | |
| Publication status | Published - 2024 |
| MoE publication type | A1 Journal article-refereed |
Bibliographical note
Publisher Copyright:© 2024 The Authors, under license to MSP (Mathematical Sciences Publishers).
Fields of Science
- localization
- multicomponent Smoluchowski’s equation
- self-similarity
- stability
- time-dependent solutions
- 111 Mathematics