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

Mokhtar Kirane; Djihad Aimene; Djamila Seba

doi:10.1007/s00033-021-01499-6

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

Mokhtar Kirane
, Djihad Aimene
, Djamila Seba

Mathematics

Boumerdes University

Research output: Contribution to journal › Article › peer-review

6 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 H^d, 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 language	British English
Article number	116
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	72
Issue number	3
DOIs	https://doi.org/10.1007/s00033-021-01499-6
State	Published - Jun 2021

Keywords

Fractional time derivative
Global solution
Heisenberg group
Navier–Stokes equations

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

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{\textquoteright}s fixed point theorem.",

keywords = "Fractional time derivative, Global solution, Heisenberg group, Navier–Stokes equations",

author = "Mokhtar Kirane and Djihad Aimene and Djamila Seba",

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T1 - Local and global existence of mild solutions of time-fractional Navier–Stokes system posed on the Heisenberg group

AU - Kirane, Mokhtar

AU - Aimene, Djihad

AU - Seba, Djamila

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Y1 - 2021/6

N2 - 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.

AB - 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.

KW - Fractional time derivative

KW - Global solution

KW - Heisenberg group

KW - Navier–Stokes equations

UR - https://www.scopus.com/pages/publications/85105605825

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JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 3

M1 - 116

ER -

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

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Keywords

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