Large time behavior of solutions to the 3D micropolar equations with nonlinear damping

DOI10.1016/J.NONRWA.2021.103493zbMath1482.35158OpenAlexW4200343453MaRDI QIDQ2113887

Publication date: 14 March 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103493

zbMATH Keywords

asymptotic stability damping term decay rate Fourier splitting method micropolar equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Cites Work

Unnamed Item
Existence of solutions for the 3D-micropolar fluid system with initial data in Besov-Morrey spaces
Global well-posedness and large-time decay for the 2D micropolar equations
The asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping
Global well-posedness for the micropolar fluid system in critical Besov spaces
Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
Weak and strong solutions for the incompressible Navier-Stokes equations with damping
On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations
Weak solutions of Navier-Stokes equations
\(L^ 2\) decay for weak solutions of the Navier-Stokes equations
On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\)
A note on the existence and uniqueness of solutions of the micropolar fluid equations
Decay in time of incompressible flows
On the large time decay of asymmetric flows in homogeneous Sobolev spaces
Global existence of strong solution to the 3D micropolar equations with a damping term
On the large time decay of global solutions for the micropolar dynamics in \(L^2(\mathbb{R}^n)\)
Global regularity for the 3D micropolar equations
Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
Large time decay of solutions for the 3D magneto-micropolar equations
Decay estimates for three-dimensional Navier-Stokes equations with damping
Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
Large Time Behaviour of Solutions to the Navier-Stokes Equations in H Spaces
Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
On the decay of higher-order norms of the solutions of Navier–Stokes equations
On the supnorm form of Leray’s problem for the incompressible Navier-Stokes equations
Existence of global strong solution to the micropolar fluid system in a bounded domain

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