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Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6058
Abstract: This paper focuses on the 2D incompressible magneto‐micropolar sysytem with the kinematic dissipation given by the fractional operator (−Δ)α, the magnetic diffusion by the fractional operator (−Δ)β and the spin dissipation by the fractional operator…
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Keywords:
dissipation;
magneto micropolar;
system;
global regularity ... See more keywords
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Published in 2018 at "Archiv der Mathematik"
DOI: 10.1007/s00013-018-1186-9
Abstract: In this paper, the large time decay of the magneto-micropolar fluid equations on $$\mathbb {R}^n$$Rn ($$ n=2,3$$n=2,3) is studied. We show, for Leray global solutions, that $$ \Vert ({\varvec{u}},{\varvec{w}},{\varvec{b}})(\cdot ,t) \Vert _{{L^2(\mathbb {R}^n)}} \rightarrow 0…
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Keywords:
micropolar system;
varvec;
magneto micropolar;
rates magneto ... See more keywords
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Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0220-z
Abstract: This paper deals with the regularity of weak solutions to the 3D magneto-micropolar fluid equations in Besov spaces. It is shown that for 0≤α≤1$0\le\alpha\le1$ if u∈L21+α(0,T;B˙∞,∞α)$u\in L^{\frac{2}{1+\alpha}}(0,T; \dot{B}_{\infty,\infty}^{\alpha})$, then the weak solution (u,ω,b)$(u,\omega ,b)$ is…
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Keywords:
regularity weak;
besov spaces;
magneto micropolar;
weak solutions ... See more keywords
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Published in 2021 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-021-00421-6
Abstract: This paper is concerned with the 2D magneto-micropolar equations with linear velocity damping and partial magnetic diffusion. We first examine that this system possesses a unique global smooth solution when the initial data is small.…
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Keywords:
existence time;
decay;
micropolar equations;
magneto micropolar ... See more keywords
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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…
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Keywords:
magneto micropolar;
decay compressible;
compressible magneto;
micropolar fluids ... See more keywords
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Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1578347
Abstract: ABSTRACT This work examines some decay properties of solutions to the Cauchy problem for the magneto-micropolar fluid equations on (where and real). We show, for each , that as for Leray global solutions with an…
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Keywords:
micropolar system;
asymptotic profiles;
time asymptotic;
magneto micropolar ... See more keywords
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Published in 2019 at "Analysis and Applications"
DOI: 10.1142/s0219530519500167
Abstract: We study the Cauchy problem of nonhomogeneous magneto-micropolar fluid system with zero density at infinity in the entire space [Formula: see text]. We prove that the system admits a unique local strong solution provided the…
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Keywords:
micropolar fluid;
local strong;
cauchy problem;
density ... See more keywords
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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 ∈…
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Keywords:
micropolar fluids;
local time;
magneto micropolar;
non resistive ... See more keywords
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Published in 2021 at "Fluids"
DOI: 10.3390/fluids6030126
Abstract: Heat and mass transfer due to a magneto micropolar fluid flow along a semi-infinite vertical plate bounded by a porous medium are investigated in presence of induced magnetic field. In case of cooling flow, heat…
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Keywords:
heat;
heat mass;
magneto micropolar;
flow ... See more keywords
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Published in 2023 at "Defect and Diffusion Forum"
DOI: 10.4028/p-52084n
Abstract: This study assesses the motion and the dynamics of heat propagation in magneto-micropolar fluid along a sheet which vertically stretches on a two-dimensional plane in a porous material. The heat distribution is developed and evaluated…
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Keywords:
heat transfer;
temperature;
magneto micropolar;
dynamics heat ... See more keywords