2021/09/20 by Guillaume Laibe, G. Laibe, Maxime Lombart +1 · 1 citation
Earth and Planetary Sciences · Environmental Science · Mathematics · Physics and Astronomy · Psychology · #Applied mathematics #Atmospheric Ozone and Climate #Coagulation #Coagulation and Flocculation Studies #Computer science #Gas Dynamics and Kinetic Theory #Laplace transform #Laplace's equation #Mathematical analysis #Mathematics #Partial differential equation #Physics #Psychology #Smoluchowski coagulation equation #Space (punctuation) #Stability (learning theory) #Statistical physics #astro-ph.EP #astro-ph.SR #physics.comp-ph
paper · pdf · doi:10.1093/mnras/stab3499
published in Monthly Notices of the Royal Astronomical Society 510(4), 5220-5225 (Oxford University Press) · 6 pages, 4 figures, Accepted for publication in MNRAS
arxiv created 2021/09/20 · openalex publication_date 2021/12/03 · arxiv updated 2021/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
ABSTRACT Evolving the size distribution of solid aggregates challenges simulations of young stellar objects. Among other difficulties, generic formulae for stability conditions of explicit solvers provide severe constraints when integrating the coagulation equation for astrophysical objects. Recent numerical experiments have reported that these generic conditions may be much too stringent. By analysing the coagulation equation in the Laplace space, we explain why this is indeed the case and provide a novel stability condition that avoids time oversampling.