TY - JOUR TI - Semigroups for flows on limits of graphs AU - Budde, Christian TI - Semigroups for flows on limits of graphs AB - 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 VL - 2021 IS - Tom 58 PY - 2021 SN - 0083-4386 C1 - 2084-3828 SP - 7 EP - 21 DO - 10.4467/20843828AM.21.001.14982 UR - https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/semigroups-for-flows-on-limits-of-graphs KW - Strongly continuous semigroups KW - Trotter-Kato theorems KW - transport problems KW - networks KW - category theory