Let X = {Xn : n ∈ N} be a long memory linear process with innovations in the domain of attraction of an α-stable law (0 RR f 2(x) dx by using the kernel estimator X 2 Tn(hn) = n(n − 1)hn 1≤jn K (Xih−nXj) . The simu...
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In this article, we consider derivatives of local time for a (2, d)-Gaussian field Z = {Z(t, s) = XtH1 − XeH2 , s, t ≥ 0}, s where XH1 and XeH2 are two independent processes from a class of d-dimensional centered Gau...
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Given a (2, d)-Gaussian field (formula presented), s where XH1 and XeH2 are independent d-dimensional centered Gaussian processes satisfying certain properties, we will give the necessary condition for existence of de...
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In this paper, a model is constructed to investigate the mechanism induced quorum sensing (QS) by coexisting of small RNA and signal molecule. The QS network model regulated by small RNAs is studied. The condition of ...
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In this paper, a model is constructed to investigate the mechanism induced quorum sensing (QS) by coexisting of small RNA and signal molecule. The QS network model regulated by small RNAs is studied. The condition of the stability of the QS network is considered by using Routh-Hurwitz stability criterion. The conditions for the existence of Hopf bifurcation are obtained. Then, a linear feedback control is designed to make the system asymptotically stable. The numerical simulation is used to verify the results of theoretical analysis.
In this study, the degradation of mechanical properties and long-term creep behavior of carbon fiber reinforced polymer (CFRP) materials under marine environment are investigated using molecular simulation by establis...
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In this paper, we study closed-loop equilibrium strategies for mean-variance portfolio selection problem in a hidden Markov model with dynamic attention behavior. In addition to the investment strategy, the investor’...
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This paper develops a new deep learning algorithm to solve a class of finite-horizon mean-field games. The proposed hybrid algorithm uses Markov chain approximation method combined with a stochastic approximation-base...
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The majority of studies on shock–shock interactions assume the high-Reynolds-number or inviscid condition for the fluid flows. However, the rarefied flows encountered by the hypersonic vehicles in their high-altitude...
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The majority of studies on shock–shock interactions assume the high-Reynolds-number or inviscid condition for the fluid flows. However, the rarefied flows encountered by the hypersonic vehicles in their high-altitude flights call for investigations coupling the shock–shock interaction and the rarefied-gas effect. An in-house direct simulation Monte Carlo (DSMC) solver is employed to simulate a series of hypersonic air flows over a wedge–cylinder configuration at the freestream Mach number of 10. The DSMC simulations cover 15 different Knudsen numbers Kn∞, spanning from 6.688×10−3 to 6.688×10−1. At the lowest Knudsen number, the numerical results are validated by the corresponding wind-tunnel experiment, and demonstrate the features of an Edney type IV shock–shock interaction, including the type IV wave pattern, the supersonic jet impingement, the augmentations of surface shear stress, pressure and heat flux, as well as the shifts in the angular positions of the peak shear stress, pressure and heat flux over the cylinder surface. In ascending order of Kn∞, the overviews and details of the flow fields with and without shock–shock interaction, as well as the distributions of the shear stress, pressure and heat flux over the cylinder surface are displayed and analyzed. The increase of flow rarefaction continuously alters the flow pattern of the shock–shock interaction, in which the wave system gradually losses the abilities to deflect the streamlines or to concentrate the energy in the flow. As the flow becomes more rarefied, the shock–shock interaction will result in smaller augmentation factors and less angular shifts of the peak aerodynamic/aerothermal loads. At the highest Kn∞ in this study, the augmentation factors for skin friction and heat flux are found to be less than unity. The existence/vanishment of the supersonic jet and its position relative to the cylinder account for the distribution characteristics of aerodynamic/aerothermal loads over the cylinder surf
The harsh application environment imposes higher requirements on the operating temperature of dielectric energy storage capacitors. Suppressing carrier transmission at high temperatures is a critical way to enhance th...
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It is significantly challenging to obtain accurate contact forces in peridynamics (PD) simulations due to the difficulty of surface particles identification, particularly for complex geometries. Here, an improved poin...
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