Time-Periodic Forcing and Asymptotic Stability for the Navier-Stokes-Maxwell Equations

S. Ibrahim; P. G. Lemarié Rieusset; N. Masmoudi

doi:10.1002/cpa.21728

Time-Periodic Forcing and Asymptotic Stability for the Navier-Stokes-Maxwell Equations

S. Ibrahim, P. G. Lemarié Rieusset, N. Masmoudi

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

Abstract

For the three-dimensional Navier-Stokes-Maxwell problem on the whole space and in the presence of external time-periodic forces, first we study the existence of time-periodic small solutions, and then we prove their asymptotic stability. We use a new type of spaces to account for averaged decay in time.

Original language	English (US)
Pages (from-to)	51-89
Number of pages	39
Journal	Communications on Pure and Applied Mathematics
Volume	71
Issue number	1
DOIs	https://doi.org/10.1002/cpa.21728
State	Published - Jan 2018

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1002/cpa.21728

Cite this

@article{63817479b12c40ce89ff8ca2ee156cb9,

title = "Time-Periodic Forcing and Asymptotic Stability for the Navier-Stokes-Maxwell Equations",

abstract = "For the three-dimensional Navier-Stokes-Maxwell problem on the whole space and in the presence of external time-periodic forces, first we study the existence of time-periodic small solutions, and then we prove their asymptotic stability. We use a new type of spaces to account for averaged decay in time.",

author = "S. Ibrahim and {Lemari{\'e} Rieusset}, {P. G.} and N. Masmoudi",

note = "Publisher Copyright: {\textcopyright} 2017 Wiley Periodicals, Inc.",

year = "2018",

month = jan,

doi = "10.1002/cpa.21728",

language = "English (US)",

volume = "71",

pages = "51--89",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "1",

}

TY - JOUR

T1 - Time-Periodic Forcing and Asymptotic Stability for the Navier-Stokes-Maxwell Equations

AU - Ibrahim, S.

AU - Lemarié Rieusset, P. G.

AU - Masmoudi, N.

PY - 2018/1

Y1 - 2018/1

N2 - For the three-dimensional Navier-Stokes-Maxwell problem on the whole space and in the presence of external time-periodic forces, first we study the existence of time-periodic small solutions, and then we prove their asymptotic stability. We use a new type of spaces to account for averaged decay in time.

AB - For the three-dimensional Navier-Stokes-Maxwell problem on the whole space and in the presence of external time-periodic forces, first we study the existence of time-periodic small solutions, and then we prove their asymptotic stability. We use a new type of spaces to account for averaged decay in time.

UR - http://www.scopus.com/inward/record.url?scp=85033790870&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85033790870&partnerID=8YFLogxK

U2 - 10.1002/cpa.21728

DO - 10.1002/cpa.21728

M3 - Article

AN - SCOPUS:85033790870

SN - 0010-3640

VL - 71

SP - 51

EP - 89

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 1

ER -

Time-Periodic Forcing and Asymptotic Stability for the Navier-Stokes-Maxwell Equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this