Existence of Solutions of the third term of the Connaughton-Newell Model with a source term
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914444478513152 |
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| author | Nguyen, Anh Viet |
| author_facet | Nguyen, Anh Viet |
| contents | The Connaughton-Newell equation is an approximation of three-wave kinetic equations using a fully non-linear coagulation-fragmentation model. This equation consists of three non-linear operators. In this paper, we proved that assuming a constant interaction kernel and a well-behaved source term, the third operator of the Connaughton-Newell equation has a solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14162 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of Solutions of the third term of the Connaughton-Newell Model with a source term Nguyen, Anh Viet Analysis of PDEs The Connaughton-Newell equation is an approximation of three-wave kinetic equations using a fully non-linear coagulation-fragmentation model. This equation consists of three non-linear operators. In this paper, we proved that assuming a constant interaction kernel and a well-behaved source term, the third operator of the Connaughton-Newell equation has a solution. |
| title | Existence of Solutions of the third term of the Connaughton-Newell Model with a source term |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.14162 |