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| Titre: | Local and global existence of mild solutions of time-fractional Navier–Stokes system posed on the Heisenberg group |
| Auteur(s): | Kirane, Mokhtar
Aimene, Djihad
Seba, Djamila |
| Mots-clés: | Global solution
Navier–Stokes equations
Heisenberg group
Fractional time derivative |
| Date de publication: | 2021 |
| Editeur: | Birkhauser |
| Collection/Numéro: | Zeitschrift fur Angewandte Mathematik und Physik, 72(3), art. no. 116.; |
| Résumé: | This paper is a development of the results and techniques of the two papers (Carvalho-Neto and Planas in J Differ Equ 259:2948–2980, 2015; Oka in J Math Anal Appl 473:382–407, 2019) for the aim of addressing the existence and uniqueness of local and global mild solutions, on the Heisenberg group Hd, of the time-fractional Navier–Stokes system with time derivative of order α∈ (0 , 1). The proof relies on Schaefer’s fixed point theorem. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG. |
| URI/URL: | https://link.springer.com/article/10.1007/s00033-021-01499-6
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/7013 |
| ISSN: | 00442275 |
| Collection(s) : | Publications Internationales
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