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

Mokhtar Kirane, Djihad Aimene, Djamila Seba

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4 Scopus citations

Abstract

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.

Original languageBritish English
Article number116
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume72
Issue number3
DOIs
StatePublished - Jun 2021

Keywords

  • Fractional time derivative
  • Global solution
  • Heisenberg group
  • Navier–Stokes equations

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