Convergence of the discrete Redner-Ben-Avraham-Kahng coagulation equation
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917558149447680 |
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| author | Verma, Pratibha |
| author_facet | Verma, Pratibha |
| contents | This article looks at the relationship between the discrete and the continuous Redner-Ben-Avraham-Kahng (RBK) coagulation models. On the basis of a priori estimation, a weak stability principle and the weak compactness in $L_1$ for the continuous RBK model is shown. By employing a sequence of discrete models to approximate the continuous one, we show that how discrete model eventually converges to the the modified continuous one using the stability principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_13245 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convergence of the discrete Redner-Ben-Avraham-Kahng coagulation equation Verma, Pratibha Functional Analysis 45J05, 45K05, 34K30, 46B50, 26D07 This article looks at the relationship between the discrete and the continuous Redner-Ben-Avraham-Kahng (RBK) coagulation models. On the basis of a priori estimation, a weak stability principle and the weak compactness in $L_1$ for the continuous RBK model is shown. By employing a sequence of discrete models to approximate the continuous one, we show that how discrete model eventually converges to the the modified continuous one using the stability principle. |
| title | Convergence of the discrete Redner-Ben-Avraham-Kahng coagulation equation |
| topic | Functional Analysis 45J05, 45K05, 34K30, 46B50, 26D07 |
| url | https://arxiv.org/abs/2307.13245 |