Existence of Solutions of the third term of the Connaughton-Newell Model with a source term

Anh Viet Nguyen

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arXiv · 2603.14162

Existence of Solutions of the third term of the Connaughton-Newell Model with a source term

Anh Viet Nguyen

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Abstract

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.

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Anh Viet Nguyen. 2026-03-15. Existence of Solutions of the third term of the Connaughton-Newell Model with a source term. https://arxiv.org/abs/2603.14162

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