Well-posedness of the coagulation-fragmentation equation with size diffusion

Philippe Laurençot; Christoph Walker

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arXiv · 2110.09095

Well-posedness of the coagulation-fragmentation equation with size diffusion

Philippe Laurençot·Christoph Walker

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Abstract

Local and global well-posedness of the coagulation-fragmentation equation with size diffusion are investigated. Owing to the semilinear structure of the equation, a semigroup approach is used, building upon generation results previously derived for the linear fragmentation-diffusion operator in suitable weighted $L^1$-spaces.

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Philippe Laurençot, Christoph Walker. 2021-10-18. Well-posedness of the coagulation-fragmentation equation with size diffusion. https://arxiv.org/abs/2110.09095

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