Results 71 to 80 of about 32,174 (313)
The Asymptotic Stability of the Generalized 3D Navier-Stokes Equations
Journal of Applied Mathematics, 2013 We study the stability issue of the generalized 3D Navier-Stokes equations. It is shown that if the weak solution u of the Navier-Stokes equations lies in the regular class ∇u∈Lp(0,∞;Bq,∞0(ℝ3)), (2α/p)+(3/q)=2α ...
Wen-Juan Wang, Yan Jia
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Advanced Energy Materials, EarlyView.A high‐resolution image‐based multiphase and multi‐physics modelling framework is developed to decouple structural changes in the membrane electrode assemblies of high‐temperature proton exchange membrane fuel cells. These changes are then digitally combined to show how morphological defects such as membrane pores, catalyst cracks, and phase migration ...
Jianuo Chen +13 more
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The second iterate for the Navier–Stokes equation
Journal of Functional Analysis, 2008 We consider the iterative resolution scheme for the Navier-Stokes equation, and focus on the second iterate, more precisely on the map from the initial data to the second iterate at a given time t. We investigate boundedness properties of this bilinear operator.
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Advanced Intelligent Systems, EarlyView.The motion of magnetic microrobots through cerebral bifurcations depends on various parameters such as the microrobots size, the blood velocity, and the imposed magnetic field gradients, among others. This work presents an in‐depth analysis of the effects of these parameters and equations predicting the required magnetic gradients based on the ...
Pedro G. Alves +10 more
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About the new version of maximum principle of Navier-Stokes equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2015 The below shows the links of the extreme values of the velocity vector, the kinetic energy density and pressure of nonlinear Navier-Stokes equations.
A.Sh. Akysh
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A Magnetically Transformable Twisting Millirobot for Cargo Delivery at Low Reynolds Number
Advanced Intelligent Systems, EarlyView.Herein, a soft millirobot, TwistBot, that transforms from a flat shape to a helical shape to propel in fluids at low Reynolds number is reported. Its geometry is optimized by numerical simulation and validated by experiments to effectively propel and deliver solid cargos.
Moonkwang Jeong +3 more
wiley +1 more source
Governing equations of fluid mechanics in physical curvilinear coordinate system
Electronic Journal of Differential Equations, 1998 This paper presents the development of unsteady three-dimensional incompressible Navier-Stokes and Reynolds-averaged Navier-Stokes equations in an unsteady physical curvilinear coordinate system. It is demonstrated that the numerical simulations based on
Swungho Lee, Bharat K. Soni
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Abstract and Applied Analysis, 2013 This paper presents two-level iteration penalty finite element methods to approximate the solution of the Navier-Stokes equations with friction boundary conditions.
Yuan Li, Rong An
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Decay of the Navier–Stokes–Poisson equations
Journal of Differential Equations, 2012 We establish the time decay rates of the solution to the Cauchy problem for the compressible Navier-Stokes-Poisson system via a refined pure energy method. In particular, the optimal decay rates of the higher-order spatial derivatives of the solution are obtained.
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Precise Real‐Time Measurement of Liquid Viscosity Using Digital Video Data
Advanced Intelligent Systems, EarlyView.Frame‐by‐frame image similarity analysis is employed to obtain the viscosity of moving liquids in real time. The method allows for online implementation even in harsh environments, replacing complex and invasive experiments. Quantitative knowledge of liquid viscosity is of fundamental importance in many areas of materials synthesis and processing ...
Zhiwen Pan +7 more
wiley +1 more source