%0 Journal Article %T Semigroups for flows on limits of graphs %A Budde, Christian %J Universitatis Iagellonicae Acta Mathematica %V 2021 %R 10.4467/20843828AM.21.001.14982 %N Tom 58 %P 7-21 %K Strongly continuous semigroups, Trotter-Kato theorems, transport problems, networks, category theory %@ 0083-4386 %D 2021 %U https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/semigroups-for-flows-on-limits-of-graphs %X We use a version of the Trotter-Kato approximation theorem for strongly continuous semigroups in order to study ows on growing networks. For that reason we use the abstract notion of direct limits in the sense of category theory