Open AccessGlobal well-posedness and exponential decay for 3D nonhomogeneous magneto-micropolar fluid equations with vacuum
Author(s) -
Xin Zhong
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021185
Subject(s) - bounded function , exponential decay , homogeneous , mathematical analysis , boundary value problem , physics , initial value problem , exponential function , dirichlet boundary condition , exponential growth , mathematics , thermodynamics , quantum mechanics
We consider an initial boundary value problem of three-dimensional (3D) nonhomogeneous magneto-micropolar fluid equations in a bounded simply connected smooth domain with homogeneous Dirichlet boundary conditions for the velocity and micro-rotational velocity and Navier-slip boundary condition for the magnetic field. We prove the global existence and exponential decay of strong solutions provided that some smallness condition holds true. Note that although the system degenerates near vacuum, there is no need to require compatibility conditions for the initial data via time weighted techniques.