广义Burgers流体中电渗流动的精确解

就微型平行板间的非Newton流体,给出了其随时间周期电渗流动的精确解.在数学公式化中,利用了广义Burgers流体的构成方程.按Fourier变换方法求解了所得到的问题.最后,用图形画出并讨论了所关注参数的不同变化.     

Solutions of gravitational field equations

In this paper we use iterative methods to generate series solutions of the gravitational field equations in a cosmological model with heat flow.     

Global lagrange stability of complex‐valued neural networks of neutral type with time‐varying delays

In this article, the problem of global exponential stability in Lagrange sense of neutral type complex‐valued neural networks (CVNNs) with delays is investigated. Two different classes of activation functions are considered, one can be separated into real part and imaginary part, and the other cannot be separated. Based on Lyapunov theory and analytic techniques, delay‐dependent criteria are provided to ascertain the aforementioned CVNNs to be globally exponentially stable GES in Lagrange sense. Moreover, the proposed sufficient conditions are presented in the form of linear matrix inequalities which could be easily checked by Matlab. Finally, two simulation examples are given out to demonstrate the validity of theory results. © 2016 Wiley Periodicals, Inc. Complexity 21: 438–450, 2016     

Hydrothermally synthesized highly efficient binary silver strontium sulfide (AgSrS) for high-performance supercapattery applications

The increasing demand for sustainable energy has diverted researchers’ intentions toward electrochemical storage devices. This research aims to combine supercapacitors’ characteristics with batteries to create high-performance hybrid energy storage devices. The hydrothermal approach is used to synthesize silver sulfide (Ag₂S), strontium sulfide (SrS), and their composite silver strontium sulfide (AgSrS). XRD is used to evaluate the crystallinity, SEM is used to study the surface morphology, and XPS is used to determine the elemental composition of AgSrS. The BET measurements show a higher surface area of 22.23 m²g⁻¹ for AgSrS. The highest achieved specific capacity with AgSrS is 494.5 C g⁻¹ (137.36 mAh-g⁻¹). The best-tuned material, AgSrS, is then used as the anode in a powered hybrid device with activated carbon (A.C.) as the cathode terminal. This device provides an energy of 26.32 Wh-kg⁻¹ at a power of 800 W kg⁻¹. The device was also put through a durability test, which included 5000 consecutive cycles. After 5000 cycles, a columbic efficiency of 82% was achieved, with 96% capacity retention. This research shows that the composite material AgSrS can be utilized commercially for hybrid energy storage devices in the future.

     

Three‐Photon Polarization‐Spatial Hyperparallel Quantum Fredkin Gate Assisted by Diamond Nitrogen Vacancy Center in Optical Cavity

The construction of a near‐deterministic photonic hyperparallel quantum Fredkin (hyper‐Fredkin) gate is investigated for a three‐photon system with the optical property of a diamond nitrogen vacancy center embedded in an optical cavity (cavity‐NV center system). This hyper‐Fredkin gate can be used to perform double Fredkin gate operations on both the polarization and spatial‐mode degrees of freedom (DOFs) of a three‐photon system with a near‐unit success probability, compared with those on the double three‐photon systems in one DOF. In this proposal, the hybrid quantum logic gate operations are the key elements of the hyper‐Fredkin gate, and only two cavity‐NV center systems are required. Moreover, the possibility of constructing a high‐fidelity and high‐efficiency hyper‐Fredkin gate in the experimental environment of a cavity‐NV center system is discussed, which may be used to implement high‐fidelity photonic computational tasks in two DOFs with a high efficiency.     

Recursive parameter identification of the dynamical models for bilinear state space systems

This paper investigates the recursive parameter and state estimation algorithms for a special class of nonlinear systems (i.e., bilinear state space systems). A state observer-based stochastic gradient (O-SG) algorithm is presented for the bilinear state space systems by using the gradient search. In order to improve the parameter estimation accuracy and the convergence rate of the O-SG algorithm, a state observer-based multi-innovation stochastic gradient algorithm and a state observer-based recursive least squares identification algorithm are derived by means of the multi-innovation theory. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed algorithms.     

Series solution for steady flow of a third grade fluid through porous space

In this paper steady flow of a third grade fluid through porous space is considered. Modified Darcy’s law for third grade fluid in a porous space has been introduced. The governing non-linear equation is first modelled and then solved using homotopy analysis method (HAM). The convergence of the obtained series solution is discussed. The effects of the emerging parameters on the velocity field are seen. It is noted that meaningful solution exists only in the case of suction.     

Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field

We investigate the influence of an induced magnetic field on the peristaltic flow of an incompressible fourth grade fluid in a symmetric channel with heat transfer. Adopting long wavelength, low Reynolds number and small Deborah number assumptions we derive the solutions for stream function, pressure gradient, temperature, magnetic force function, induced magnetic field and current density. Qualitative agreement is demonstrated between the graphs and expected observations.     

Dynamical behavior of a stochastic model of gene expression with distributed delay and degenerate diffusion

This article is concerned with a stochastic model of gene expression with distributed delay and degenerate diffusion. We transform the model with weak kernel case into an equivalent system through the linear chain technique. Since the diffusion matrix is of degenerate type, the uniform ellipticity condition is not satisfied. The Markov semigroup theory is used to obtain the existence and uniqueness of a stable stationary distribution. We prove the densities of the distributions of the solutions can converge in L¹ to an invariant density. The existence of the stationary distribution implies stochastic weak stability. Numerical simulation is introduced to illustrate the analytical result.     

Numerical simulation for Darcy–Forchheimer three-dimensional rotating flow of nanofluid with prescribed heat and mass flux conditions

Journal of Thermal Analysis and Calorimetry - Darcy–Forchheimer three-dimensional rotating flow of nanoliquid with prescribed heat and mass flux conditions is addressed. Flow is generated by...