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Local and global existence of mild solutions of time-fractional Navier-Stokes system posed on the Heisenberg group
Journal article   Peer reviewed

Local and global existence of mild solutions of time-fractional Navier-Stokes system posed on the Heisenberg group

Mokhtar Kirane, Djihad Aimene and Djamila Seba
Zeitschrift für angewandte Mathematik und Physik, Vol.72(3)
01/06/2021
DOI: https://doi.org/10.1007/s00033-021-01499-6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper is a development of the results and techniques of the two papers (Carvalho-Neto and Planes 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 H-d, of the time-fractional Navier-Stokes system with time derivative of order alpha is an element of (0,1). The proof relies on Schaefer's fixed point theorem.

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