TY - JOUR
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
N1 - Publisher Copyright:
© 2025 American Institute of Mathematical Sciences. All rights reserved.
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 -