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

2021/10/18 by Philippe Laurençot, Laurençot, Philippe, Christoph Walker +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Navier-Stokes equation solutions

paper · doi:10.48550/arxiv.2110.09095

openalex publication_date 2021/10/18 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

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 L¹-spaces.

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