Anisotropic Micropolar Fluids Subject to a Uniform Microtorque: The Unstable Case
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-020-03928-5
Abstract: We study a three-dimensional, incompressible, viscous, micropolar fluid with anisotropic microstructure on a periodic domain. Subject to a uniform microtorque, this system admits a unique nontrivial equilibrium. We prove that this equilibrium is nonlinearly unstable.… read more here.
Keywords: uniform microtorque; fluids subject; micropolar fluids; anisotropic micropolar ... See more keywords
The pointwise estimates of diffusion wave of the compressible micropolar fluids
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.04.039
Abstract: Abstract The pointwise estimates for the compressible micropolar fluids in dimension three are given, which exhibit generalized Huygens' principle for the fluid density and fluid momentum as the compressible Navier–Stokes equation, while the micro-rational momentum… read more here.
Keywords: micropolar fluids; pointwise estimates; compressible micropolar; diffusion wave ... See more keywords
Pullback exponential attractors for a class of non-Newtonian micropolar fluids
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125320
Abstract: Abstract In this paper, we consider the pullback asymptotic behaviors of weak solutions for the 2D non-autonomous Non-Newtonian micropolar fluids. Employing the methods of l-trajectories in [31] , we first establish the existence of a… read more here.
Keywords: micropolar fluids; pullback exponential; non newtonian; newtonian micropolar ... See more keywords
Analytical investigation of electrokinetic effects of micropolar fluids in nanofluidic channels
Sign Up to like & getrecommendations! Published in 2017 at "Physics of Fluids"
DOI: 10.1063/1.4999487
Abstract: The effects of microstructure of fluid particles on the electrokinetic phenomena are investigated analytically based on a micropolar fluid model, where micro-rotation of fluid particles and material parameters like viscosity and angular viscosity coefficients are… read more here.
Keywords: analytical investigation; fluids nanofluidic; electrokinetic effects; micropolar fluids ... See more keywords
Decay of the compressible magneto-micropolar fluids
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5024795
Abstract: This paper considers the large-time behavior of solutions to the Cauchy problem on the compressible magneto-micropolar fluid system under small perturbation in regular Sobolev space. Based on the time-weighted energy estimate, the asymptotic stability of… read more here.
Keywords: magneto micropolar; decay compressible; compressible magneto; micropolar fluids ... See more keywords
Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids
Sign Up to like & getrecommendations! Published in 2021 at "Applications of Mathematics"
DOI: 10.21136/am.2021.0111-20
Abstract: We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data u 0 ∈ H s −1+ ε , w 0 ∈ H s −1 and b 0 ∈… read more here.
Keywords: micropolar fluids; local time; magneto micropolar; non resistive ... See more keywords