Fragmentation--coagulation processes with advection or diffusion in space

Fragmentation--coagulation processes with advection or diffusion in space | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 5 January 2026 V1 Latest version Share on Fragmentation--coagulation processes with advection or diffusion in space Authors : Jacek Banasiak 0000-0003-3381-0774 [email protected] and Nduduzo Majozi 0000-0002-2698-1025 Authors Info & Affiliations https://doi.org/10.22541/au.176759858.82444303/v1 146 views 97 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C 0 -semigroups with parameter and use them to show that the Abstract Cauchy Problem associated with a more general version of the advection/diffusion–fragmentation problem generates a positive C 0 -semigroup in spaces L 1 ( R +, X x, ( 1 + m r ) d m ), where m is the particle mass, X x is either the space of integrable or continuous functions with respect to the spatial variable, and the weight exponent r is sufficiently large. These results enable us to prove the classical solvability of a wide range of advection/diffusion–fragmentation–coagulation equations with unbounded coagulation kernels. Supplementary Material File (buda05p.pdf) Download 484.25 KB Information & Authors Information Version history V1 Version 1 05 January 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords -semigroups advection coagulation diffusion fragmentation moment regularisation semigroups with parameter Authors Affiliations Jacek Banasiak 0000-0003-3381-0774 [email protected] University of Pretoria View all articles by this author Nduduzo Majozi 0000-0002-2698-1025 University of Pretoria View all articles by this author Metrics & Citations Metrics Article Usage 146 views 97 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Jacek Banasiak, Nduduzo Majozi. Fragmentation--coagulation processes with advection or diffusion in space. Authorea . 05 January 2026. DOI: https://doi.org/10.22541/au.176759858.82444303/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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