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Time‐Periodic Forcing and Asymptotic Stability for the Navier‐Stokes‐Maxwell Equations
Author(s) -
Ibrahim S.,
Lemarié Rieusset P. G.,
Masmoudi N.
Publication year - 2018
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21728
Subject(s) - mathematics , forcing (mathematics) , stability (learning theory) , maxwell's equations , navier–stokes equations , mathematical analysis , exponential stability , nonlinear system , compressibility , mechanics , physics , quantum mechanics , machine learning , computer science
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.© 2017 Wiley Periodicals, Inc.