Discrete coagulation--fragmentation systems in weighted $\ell^1$ spaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908838422118400 |
|---|---|
| author | Kerr, Lyndsay Langer, Matthias |
| author_facet | Kerr, Lyndsay Langer, Matthias |
| contents | We study an infinite system of ordinary differential equations that models the evolution of coagulating and fragmenting clusters, which we assume to be composed of identical units. Under very mild assumptions on the coefficients we prove existence, uniqueness and positivity of solutions of a corresponding semi-linear Cauchy problem in a weighted $\ell^1$ space. This requires the application of novel results, which we prove for abstract semi-linear Cauchy problems in Banach lattices where the non-linear term is defined only on a dense subspace. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21665 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete coagulation--fragmentation systems in weighted $\ell^1$ spaces Kerr, Lyndsay Langer, Matthias Functional Analysis 34G20, 47D06, 80A30, 46B42, 46B70 We study an infinite system of ordinary differential equations that models the evolution of coagulating and fragmenting clusters, which we assume to be composed of identical units. Under very mild assumptions on the coefficients we prove existence, uniqueness and positivity of solutions of a corresponding semi-linear Cauchy problem in a weighted $\ell^1$ space. This requires the application of novel results, which we prove for abstract semi-linear Cauchy problems in Banach lattices where the non-linear term is defined only on a dense subspace. |
| title | Discrete coagulation--fragmentation systems in weighted $\ell^1$ spaces |
| topic | Functional Analysis 34G20, 47D06, 80A30, 46B42, 46B70 |
| url | https://arxiv.org/abs/2504.21665 |