Marjeta Kramar Fijavž (Author), Aleksandra Puchalska (Author)

Abstract

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".

Keywords

analysis;differential equations;biomathematics;operator semigroups;networks;transport equation;diffusion equation;genetic mutation model;synaptic transmission model;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FGG - Faculty of Civil and Geodetic Engineering
UDC: 51
COBISS: 37675779 Link will open in a new window
ISSN: 1364-503X
Views: 229
Downloads: 150
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Other data

Secondary language: Slovenian
Secondary title: Polgrupe za dinamične procese na metričnih grafih
Secondary abstract: 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".
Secondary keywords: akademska matematika;operatorske polgrupe;omrežja;transportna enačba;
Type (COBISS): Article
Pages: str. 1-17
Volume: ǂVol. ǂ378
Issue: ǂno. ǂ2158
Chronology: 2020
DOI: 10.1098/rsta.2019.0619
ID: 12612126