Global regularity for the 2D magneto‐micropolar system with partial and fractional dissipation
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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… read more here.
Keywords: dissipation; magneto micropolar; system; global regularity ... See more keywords
Decay rates for the magneto-micropolar system in $$\varvec{L^2(}\pmb {\mathbb {R}}^{\varvec{n)}}$$L2(Rn)
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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… read more here.
Keywords: micropolar system; varvec; magneto micropolar; rates magneto ... See more keywords
Regularity of Weak Solutions to the 3D Magneto-Micropolar Equations in Besov Spaces
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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… read more here.
Keywords: regularity weak; besov spaces; magneto micropolar; weak solutions ... See more keywords
Existence and Time Decay for Global Small Solution of 2D Generalized Magneto-Micropolar Equations
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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.… read more here.
Keywords: existence time; decay; micropolar equations; magneto micropolar ... 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
Lower and upper bounds of decay to the d-dimensional magneto-micropolar equations
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DOI: 10.1063/5.0232483
Abstract: This paper mainly investigates the large time behavior of the magneto-micropolar equations with zero angular viscosity in Rd (d = 2, 3). The main difficulties lie in the presence of linear curl terms and the lack… read more here.
Keywords: lower upper; bounds decay; micropolar equations; magneto micropolar ... See more keywords
Time asymptotic profiles to the magneto-micropolar system
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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… read more here.
Keywords: micropolar system; asymptotic profiles; time asymptotic; magneto micropolar ... See more keywords
Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density
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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… read more here.
Keywords: micropolar fluid; local strong; cauchy problem; density ... See more keywords
Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids
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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
Heat and Mass Transfer Analysis on Magneto Micropolar Fluid Flow with Heat Absorption in Induced Magnetic Field
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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… read more here.
Keywords: heat; heat mass; magneto micropolar; flow ... See more keywords
Dynamics of Heat Transfer in Magneto-Micropolar Fluids Flow Past a Vertically Expanding Sheet Featuring Prescribed Wall Temperature (PWT)
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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… read more here.
Keywords: heat transfer; temperature; magneto micropolar; dynamics heat ... See more keywords