Exponential stability for magneto-micropolar fluids. (September 2016)

• Record Type: Journal Article
• Authors: Braz e Silva, P.; Friz, L.; Rojas-Medar, M.A.
• Is Part Of: Nonlinear analysis. Volume 143(2016)
• Page Start: 211
• Page End: 223
• Publication Date: 2016-09
• Subjects: Stability -- Magneto-Micropolar fluids -- Strong solutions; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.05.015
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove existence, uniqueness and exponential stability of mildly decaying global strong solutions for the magneto-micropolar fluids system in three space dimensions. Our main objective is to study the convergence of nonstationary solutions to stationary solutions for the system fluids when t → ∞ . We show that under mild suitable conditions the convergence is indeed exponential.