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Global Existence of Strong Solutions for the Generalized Navier-Stokes Equations with Dam**
This paper mainly focus on the global existence of the strong solutions for the generalized Navier-Stokes equations with dam**. We obtain the...
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The global existence and analyticity of a mild solution to the 3D regularized MHD equations
In this paper, we study the three-dimensional regularized MHD equations with fractional Laplacians in the dissipative and diffusive terms. We...
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Secondary steady-state and time-periodic flows from a basic flow with square array of odd number of vortices
In a magnetohydrodynamic (MHD) driven fluid cell, a plane non-parallel flow in a square domain satisfying a free-slip boundary condition is examined....
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Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity
This study is concerned with the three-dimensional (3D) stagnation-point for the mixed convection flow past a vertical surface considering the...
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On the Weak Solutions to Steady-State Mixed Navier—Stokes/Darcy Model
In this paper, for the mixed Navier—Stokes/Darcy model with Beavers—Joseph—Saffman’s interface condition, we first establish an a priori estimate for...
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On Mixed Pressure-Velocity Regularity Criteria to the Navier-stokes Equations in Lorentz Spaces, Part II: The Non-slip Boundary Value Problem
This paper is a continuation of the authors recent work [Beirão da Veiga, H. and Yang, J., On mixed pressure-velocity regularity criteria to the...
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Rigorous Results in Space-Periodic Two-Dimensional Turbulence
We survey the recent advance in the rigorous qualitative theory of the 2d stochastic Navier–Stokes system that are relevant to the description of...
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Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder
The spatial behavior of solutions is studied in the model of Forchheimer equations. Using the energy estimate method and the differential inequality...
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Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data
We consider the almost sure well-posedness of the Cauchy problem to the Cahn-Hilliard-Navier-Stokes equations with a randomization initial data on a...
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Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier-Besov-Morrey Spaces
A generalized incompressable magnetohydrodynamics system is considered in this paper. Furthermore, results of global well-posednenss are established...
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The local regularity conditions for the Navier–Stokes equations via one directional derivative of the velocity
We study the local regularity of solutions to the Navier–Stokes equations. We show for a suitable weak solution ( u, p ) on an open space-time domain D ...
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Effects of multiple shapes for steady flow with transformer oil+Fe3O4+TiO2 between two stretchable rotating disks
In this study, we examine the effects of various shapes of nanoparticles in a steady flow of hybrid nanofluids between two stretchable rotating...
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Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study
The heat and mass transfer of two immiscible fluids in an inclined channel with thermal diffusion, vicious, and Darcy dissipation is studied. The...
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Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with dam**
This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with dam**. We find a range of parameters to guarantee the...
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On the Navier-Stokes equations with anisotropic wall slip conditions
This article deals with the solvability of the boundary-value problem for the Navier-Stokes equations with a direction-dependent Navier type slip...
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Parallelization strategies for resolved simulations of fluid-structure-particle interactions
Fluid-structure-particle interactions in three spatial dimensions happen in many environmental and engineering flows. This paper presents the...
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Numerical study of opposed zero-net-mass-flow jet-induced erythrocyte mechanoporation
With the advantages of biosafety and efficiency, increasing attention has been paid to the devices for gene and macromolecular drug delivery based on...
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A posteriori error analysis and adaptivity for a VEM discretization of the Navier–Stokes equations
We consider the virtual element method (VEM) introduced by Beirão da Veiga et al. in 2016 for the numerical solution of the steady, incompressible...
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Rotation Problem for a Two-Phase Drop
The paper deals with the stability of a uniformly rotating finite mass consisting of two immiscible viscous incompressible fluids with unknown...
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Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis
The peristaltic flow of a heated Jeffrey fluid inside a duct with an elliptic cross-section is studied. A thorough heat transfer mechanism is...