Global well-posedness and exponential decay for 3D nonhomogeneous magneto-micropolar fluid equations with vacuum.

X Zhong - Communications on Pure & Applied Analysis, 2022 - search.ebscohost.com
We consider an initial boundary value problem of three-dimensional (3D) nonhomogeneous
magneto-micropolar fluid equations in a bounded simply connected smooth domain with …

Global strong solution and exponential decay of 3D nonhomogeneous asymmetric fluid equations with vacuum

G Wu, X Zhong - Acta Mathematica Scientia, 2021 - Springer
We prove the global existence and exponential decay of strong solutions to the three-
dimensional nonhomogeneous asymmetric fluid equations with nonnegative density …

[HTML][HTML] Weak solutions with improved regularity for the nonhomogeneous asymmetric fluids equations with vacuum

PB e Silva, FW Cruz, MA Rojas-Medar… - Journal of Mathematical …, 2019 - Elsevier
We prove the existence of local and global in time weak solutions for the equations of
nonhomogeneous incompressible asymmetric fluids in a bounded domain Ω⊊ R 3, when …

Global existence and exponential decay of strong solutions for 2D nonhomogeneous micropolar fluids with density-dependent viscosity

L Liu, X Zhong - Journal of Mathematical Physics, 2021 - pubs.aip.org
We study an initial boundary value problem of two-dimensional nonhomogeneous
micropolar fluid equations with density-dependent viscosity and non-negative density …

Semi‐strong and strong solutions for variable density asymmetric fluids in unbounded domains

P Braz e Silva, FW Cruz… - … Methods in the Applied …, 2017 - Wiley Online Library
We establish the existence of local in time semi‐strong solutions and global in time strong
solutions for the system of equations describing flows of viscous and incompressible …

Global strong solution to the nonhomogeneous micropolar fluid equations with large initial data and vacuum.

X Zhong - Discrete & Continuous Dynamical Systems-Series …, 2022 - search.ebscohost.com
We study the Cauchy problem of nonhomogeneous micropolar fluid equations with zero
density at infinity in the whole plane $\mathbb {R}^ 2$. We derive the global existence and …

An inverse problem for the system modeling nonhomogeneous asymmetric fluids

A Coronel, E Fernández-Cara, M Rojas-Medar… - Applicable …, 2024 - Taylor & Francis
In this paper, we prove the local uniqueness of an inverse problem arising in the
nonstationary flow of a nonhomogeneous incompressible asymmetric fluid in a bounded …

[HTML][HTML] Global well-posedness to the Cauchy problem of 2D density-dependent micropolar equations with large initial data and vacuum

Y Liu - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
This paper studies the Cauchy problem of the 2D nonhomogeneous incompressible
micropolar equations. It is shown that the problem admits a unique global strong solution …

Global solvability to the 3D incompressible magneto-micropolar system with vacuum.

Y Liu, N Zhou, R Guo - Discrete & Continuous Dynamical …, 2022 - search.ebscohost.com
This paper deals with the Cauchy problem of 3D innhomogeneous incompressible magneto-
micropolar system. We prove the global existence of strong solutions to this system, with …

Error estimates for spectral semi-Galerkin approximations of incompressible asymmetric fluids with variable density

FW Cruz, P Braz e Silva - Journal of Mathematical Fluid Mechanics, 2019 - Springer
We consider spectral semi-Galerkin approximations for global strong solutions of the
equations for variable density asymmetric incompressible fluids in a bounded domain Ω Ω of …