Asymptotic localization in multicomponent mass conserving coagulation equations
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913525447786496 |
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| author | Ferreira, Marina A. Lukkarinen, Jani Nota, Alessia Velázquez, Juan J. L. |
| author_facet | Ferreira, Marina A. Lukkarinen, Jani Nota, Alessia Velázquez, Juan J. L. |
| contents | In this paper 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_08076 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Asymptotic localization in multicomponent mass conserving coagulation equations Ferreira, Marina A. Lukkarinen, Jani Nota, Alessia Velázquez, Juan J. L. Analysis of PDEs Mathematical Physics 45K05, 35Q In this paper 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. |
| title | Asymptotic localization in multicomponent mass conserving coagulation equations |
| topic | Analysis of PDEs Mathematical Physics 45K05, 35Q |
| url | https://arxiv.org/abs/2203.08076 |