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Remark on regularity criterion for the 3D Hall-MHD equations involving only the vorticity
The goal of this paper is to establish a regularity criterion for the three-dimensional incompressible Hall-magnetohydrodynamic equations involving...
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Regularity criterion in terms of the oscillation of pressure for the 3D Navier–Stokes equations
We obtain a new regularity criterion in terms of the oscillation of time derivative of the pressure for the 3D Navier–Stokes equations in a domain
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Global attractor for the damped BBM equation in the sharp low regularity space
The long-term behavior of low regularity solutions to the damped BBM equation with a distribution force on the torus is studied. Since the energy...
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A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations
This paper devotes to establish an improved regularity criterion for weak solution of 3D incompressible MHD equations. We show that the weak solution...
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Numerical Stability Analysis of Canal Embankment Using Hill’s Second-Order Work Criterion
Natural disasters are becoming increasingly frequent, causing both human suffering and economic setbacks. The prediction of these risks, especially...
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Regularity criteria for 3D Hall-MHD equations
A challenging open problem in the 3D Hall-MHD theory is to ask whether or not the global weak solutions are smooth. In this paper, we prove that a...
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Monitoring the cutting condition of structurally distinct aluminum oxide grinding wheels using acoustic emission signals and the Hinkley criterion
Acoustic emission sensors (AE) have been extensively utilized as an indirect method for condition monitoring of grinding wheels, the essential tools...
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Global weighted regularity for the 3D axisymmetric MHD equations
In this paper, we study the three-dimensional axisymmetric incompressible magnetohydrodynamic (MHD) equations with nonzero swirl. By using symmetric...
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A regularity model-based multi-objective estimation of distribution memetic algorithm with auto-controllable population diversity
The regularity model-based multi-objective estimation of distribution algorithm (RM-MEDA) employs the local principal component analysis to split the...
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BKM-type blow-up criterion of the inviscid axially symmetric Boussinesq system involving a single component of velocity
In this paper, we give a BKM-type blow-up criterion, which involves only a single component of the velocity, for the inviscid axially symmetric...
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Global regularity for a family of models of the axisymmetric Navier–Stokes system
In this paper, we investigate a family of 3D models for the axisymmetric incompressible Navier–Stokes system. The models are derived by changing the...
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Evolution Regularity and Control Technology of Coal Face Rupture Induced by The movement of Overlying Strata Under the Influence of Mining
We address the problem of rib spalling caused by mining-induced roof movement. This problem affects production and safety of the working face. We...
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Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component
In this paper, we show that a weak solution to 3D shear-thinning flows becomes strong provided that the gradient of one component of velocity belongs...
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Regularity of the Gould and Choquet Integrals
Intervals are related to the representation of uncertainty. In this sense, in this chapter we introduce an integral of Gould type for an...
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A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space
In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) MHD equations. It is proved that the solution ( u , b )...
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Some regularity criteria for the 3D generalized Navier–Stokes equations
We show some regularity criteria (Prodi–Serrin type regularity) to weak solutions of the 3D generalized Navier–Stokes equations in viewpoint of the...
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Shear strength and failure criterion analysis of steel fiber reinforced concrete exposed to elevated temperature under combined compression–shear loading
Adding steel fiber to concrete preparation to enhance residual strength and ductility is a potential solution to improve reliability of specific...
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Quasi-static crack propagation with a Griffith criterion using a variational discrete element method
A variational discrete element method is applied to simulate quasi-static crack propagation. Cracks are considered to propagate between the mesh...
