ASYMPTOTIC STABILITY FOR MICROPOLAR FLUIDS EQUATIONS

José Luiz Boldrini; Eduardo Alfonso Notte-Cuello; Elva Ortega-Torres; Marko Antonio Rojas-Medar

doi:10.3934/dcdsb.2025004

ASYMPTOTIC STABILITY FOR MICROPOLAR FLUIDS EQUATIONS

José Luiz Boldrini
, Eduardo Alfonso Notte-Cuello
, Elva Ortega-Torres
, Marko Antonio Rojas-Medar

Department of Mathematics

Universidade Estadual de Campinas
Universidad de La Serena
Universidad Católica del Norte

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

1 Scopus citations

Abstract

We study the stability of large solutions of the equations for the motion of micropolar fluids in bounded three-dimensional domains. Under suitable conditions on the linear velocity, we prove that a strong local solution becomes a strong global solution, then we prove that when both initial data and the external forces are subject to small perturbations, the global solutions are stable. The exponential stability and decay are also proved under additional conditions. We emphasize that our result does not require additional information on the microrotational velocity.

Original language	English
Pages (from-to)	2976-2996
Number of pages	21
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	30
Issue number	8
DOIs	https://doi.org/10.3934/dcdsb.2025004
State	Published - Aug 2025

Keywords

Asymptotic stability
Exponential stability and decay
Global strong solution
Micropolar fluids equations
Stability of large solutions

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10.3934/dcdsb.2025004

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title = "ASYMPTOTIC STABILITY FOR MICROPOLAR FLUIDS EQUATIONS",

abstract = "We study the stability of large solutions of the equations for the motion of micropolar fluids in bounded three-dimensional domains. Under suitable conditions on the linear velocity, we prove that a strong local solution becomes a strong global solution, then we prove that when both initial data and the external forces are subject to small perturbations, the global solutions are stable. The exponential stability and decay are also proved under additional conditions. We emphasize that our result does not require additional information on the microrotational velocity.",

keywords = "Asymptotic stability, Exponential stability and decay, Global strong solution, Micropolar fluids equations, Stability of large solutions",

author = "Boldrini, \{Jos{\'e} Luiz\} and Notte-Cuello, \{Eduardo Alfonso\} and Elva Ortega-Torres and Rojas-Medar, \{Marko Antonio\}",

year = "2025",

month = aug,

doi = "10.3934/dcdsb.2025004",

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volume = "30",

pages = "2976--2996",

journal = "Discrete and Continuous Dynamical Systems - Series B",

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T1 - ASYMPTOTIC STABILITY FOR MICROPOLAR FLUIDS EQUATIONS

AU - Boldrini, José Luiz

AU - Notte-Cuello, Eduardo Alfonso

AU - Ortega-Torres, Elva

AU - Rojas-Medar, Marko Antonio

PY - 2025/8

Y1 - 2025/8

N2 - We study the stability of large solutions of the equations for the motion of micropolar fluids in bounded three-dimensional domains. Under suitable conditions on the linear velocity, we prove that a strong local solution becomes a strong global solution, then we prove that when both initial data and the external forces are subject to small perturbations, the global solutions are stable. The exponential stability and decay are also proved under additional conditions. We emphasize that our result does not require additional information on the microrotational velocity.

AB - We study the stability of large solutions of the equations for the motion of micropolar fluids in bounded three-dimensional domains. Under suitable conditions on the linear velocity, we prove that a strong local solution becomes a strong global solution, then we prove that when both initial data and the external forces are subject to small perturbations, the global solutions are stable. The exponential stability and decay are also proved under additional conditions. We emphasize that our result does not require additional information on the microrotational velocity.

KW - Asymptotic stability

KW - Exponential stability and decay

KW - Global strong solution

KW - Micropolar fluids equations

KW - Stability of large solutions

UR - https://www.scopus.com/pages/publications/105001190528

U2 - 10.3934/dcdsb.2025004

DO - 10.3934/dcdsb.2025004

M3 - Article

AN - SCOPUS:105001190528

SN - 1531-3492

VL - 30

SP - 2976

EP - 2996

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 8

ER -

ASYMPTOTIC STABILITY FOR MICROPOLAR FLUIDS EQUATIONS

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Keywords

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