20.500.12556/RUL-125093 Semigroups for dynamical processes on metric graphs Polgrupe za dinamične procese na metričnih grafih We present the operator semigroups approach to the first- and second-order dynamical systems taking place on metric graphs. We briefly survey the existing results and focus on the well-posedness of the problems with standard vertex conditions. Finally, we show two applications to biological models. This article is part of the theme issue "Semigroup applications everywhere". Predstavimo operatorsko polgrupni pristop k dinamičnim sistemom prvega in drugega reda na metričnih grafih. Na kratko strnemo obstoječe rezultate in se osredotočimo na dobro pogojenost problema s standardnimi pogoji v vozliščih. Na koncu prikažemo dve uporabi na modelih v biologiji. Članek je del vsebinske izdaje "Semigroup applications everywhere". analysis differential equations biomathematics operator semigroups networks transport equation diffusion equation genetic mutation model synaptic transmission model akademska matematika operatorske polgrupe omrežja transportna enačba true false true Angleški jezik Slovenski jezik Članek v reviji 2021-03-04 14:31:48 2021-03-04 14:31:49 2022-09-05 03:49:29 0000-00-00 00:00:00 2020 0 0 Str. 1-17 no. 2158 Vol. 378 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51 1364-503X 10.1098/rsta.2019.0619 37675779 RAZ_Kramar_Fijavz_Marjeta_2020.pdf RAZ_Kramar_Fijavz_Marjeta_2020.pdf 1 15379ED5FC99DF40B7B8992C4330EFC1 9547b9b2cdfe5828807d8d4c97ed0e4b6bd13a6ba4a11d0e716c4bbeb4ae5af7 37eff1d4-84f9-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=153505 https://doi.org/10.1098/rsta.2019.0619 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140753 https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2019.0619 0 60344ec2-84f9-11ec-abdb-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=153506 Fakulteta za gradbeništvo in geodezijo 0 0 0