Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations
| dc.contributor | Aalto-yliopisto | fi |
| dc.contributor | Aalto University | en |
| dc.contributor.author | Singer, Thomas | en_US |
| dc.contributor.author | Vestberg, Matias | en_US |
| dc.contributor.department | Department of Mathematics and Systems Analysis | en |
| dc.date.accessioned | 2019-02-25T08:51:29Z | |
| dc.date.available | 2019-02-25T08:51:29Z | |
| dc.date.embargo | info:eu-repo/date/embargoEnd/2021-01-22 | en_US |
| dc.date.issued | 2019-03-05 | en_US |
| dc.description.abstract | In this paper we prove that weak solutions to the Diffusive Wave Approximation of the Shallow Water equations ∂tu−∇⋅((u−z)α|∇u|γ−1∇u)=f are locally bounded. Here, u describes the height of the water, z is a given function that represents the land elevation and f is a source term accounting for evaporation, infiltration or rainfall. | en |
| dc.description.version | Peer reviewed | en |
| dc.format.extent | 20 | |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.citation | Singer, T & Vestberg, M 2019, 'Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations', Journal of Differential Equations, vol. 266, no. 6, pp. 3014-3033. https://doi.org/10.1016/j.jde.2018.08.051 | en |
| dc.identifier.doi | 10.1016/j.jde.2018.08.051 | en_US |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.issn | 1090-2732 | |
| dc.identifier.other | PURE UUID: afecc8b8-f0da-4ac2-9dae-c8334956351e | en_US |
| dc.identifier.other | PURE ITEMURL: https://research.aalto.fi/en/publications/afecc8b8-f0da-4ac2-9dae-c8334956351e | en_US |
| dc.identifier.other | PURE LINK: http://www.scopus.com/inward/record.url?scp=85054062526&partnerID=8YFLogxK | |
| dc.identifier.other | PURE FILEURL: https://research.aalto.fi/files/31510387/SCI_Singer_Vestberg_Local_Boundedness.pdf | en_US |
| dc.identifier.uri | https://aaltodoc.aalto.fi/handle/123456789/36855 | |
| dc.identifier.urn | URN:NBN:fi:aalto-201902252012 | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Journal of Differential Equations | en |
| dc.relation.ispartofseries | Volume 266, issue 6, pp. 3014-3033 | en |
| dc.rights | openAccess | en |
| dc.subject.keyword | Doubly nonlinear parabolic equations | en_US |
| dc.subject.keyword | Local boundedness | en_US |
| dc.title | Local boundedness of weak solutions to the Diffusive Wave Approximation of the Shallow Water equations | en |
| dc.type | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä | fi |
| dc.type.version | acceptedVersion |