Bi-continuous semigroups for flows on infinite networks
Abstract
We study transport processes on infinite metric graphs with nonconstant velocities and matrix boundary conditions in the L -setting. We apply the theory of bi-continuous operator semigroups to obtain well-posedness of the problem under different assumptions on the velocities and for general stochastic matrices appearing in the boundary conditions.
Keywords
transportna enačba;neskončni metrični grafi;bi-zvezne operatorske polgrupe;Bochnerjevi L -prostori;perturbacije;transport equations;infinite metric graphs;bi-continuous operator semigroups;Bochner L -spaces;perturbations;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2021 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UL FGG - Faculty of Civil and Geodetic Engineering |
| UDC: | 517.98 |
| COBISS: |
83418883
|
| ISSN: | 1556-1801 |
| Views: | 121 |
| Downloads: | 21 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | Slovenian |
|---|---|
| Secondary keywords: | transportna enačba;neskončni metrični grafi;bi-zvezne operatorske polgrupe;Bochnerjevi L -prostori;perturbacije; |
| Type (COBISS): | Scientific work |
| Pages: | str. 553-567 |
| Volume: | ǂVol. ǂ16 |
| Issue: | ǂno. ǂ4 |
| Chronology: | 2021 |
| DOI: | 10.3934/nhm.2021017 |
| ID: | 13815870 |
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