| dc.contributor.author | Abbatiello, Anna | |
| dc.contributor.author | Bulícek, Miroslav | |
| dc.contributor.author | Lear Claveras, Daniel | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2025-02-06T17:51:31Z | |
| dc.date.available | 2025-02-06T17:51:31Z | |
| dc.date.issued | 2024-10 | |
| dc.identifier.issn | 1572-9648 | |
| dc.identifier.issn | 0025-6455 | |
| dc.identifier.other | RYC2021-030970-I | es_ES |
| dc.identifier.other | PID2020-114703GB-I00 | es_ES |
| dc.identifier.other | PID2022-141187NB-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/35419 | |
| dc.description.abstract | We consider a flow of non-Newtonian incompressible heat conducting fluids with dissipative heating. Such system can be obtained by scaling the classical Navier-Stokes-Fourier problem. As one possible singular limit may be obtained the so-called Oberbeck-Boussinesq system. However, this model is not suitable for studying the systems with high temperature gradient. These systems are described in much better way by completing the Oberbeck-Boussinesq system by an additional dissipative heating. The satisfactory existence result for such system was however not available. In this paper we show the large-data and the long-time existence of
dissipative and suitable weak solution. This is the starting point for further analysis of the stability
properties of such problems. | es_ES |
| dc.description.sponsorship | The research activity of A. Abbatiello is performed under the auspices of GNFM - INdAM. M. Bulíček and D. Lear acknowledge the support of the Project No. 20-11027X financed by Czech Science Foundation (GAČR). M. Bulíček is a member of the Nečas Center for Mathematical Modelling. D. Lear was partially supported by the RYC2021-030970-I research Grant, and the AEI Grants PID2020-114703GB-I00 and PID2022-141187NB-I00. | es_ES |
| dc.format.extent | 28 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer Netherlands | es_ES |
| dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.source | Meccanica, 2024, 59(10), 1703-1730 | es_ES |
| dc.subject.other | Navier–Stokes–Fourier equations | es_ES |
| dc.subject.other | Dissipative heating | es_ES |
| dc.subject.other | Oberbeck–Boussinesq system | es_ES |
| dc.subject.other | Non-Newtonian fluids | es_ES |
| dc.subject.other | Large-data existence | es_ES |
| dc.title | On the existence of solutions to generalized Navier-Stokes-Fourier system with dissipative heating | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1007/s11012-024-01791-5 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1007/s11012-024-01791-5 | |
| dc.type.version | publishedVersion | es_ES |
Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
