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91.
Yannick Privat Emmanuel Trlat Enrique Zuazua 《ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik》2016,96(5):538-549
The problems of observing, controlling and stabilizing wave processes arise in many different contexts ranging from structural mechanics to seismic waves. In a suitable functional setting, they are closely interconnected and sometimes completely equivalent. In a series of previous articles we have addressed the problem of the optimal design of sensors for purely conservative wave models. We analyzed a relaxed version of the optimal observation problem, considering the expectation of solutions under a randomisation procedure, rather than that where all possible solutions are considered in a purely deterministic setting. From an analytical point of view, this randomisation procedure had the advantage of leading to a spectral diagonalisation of the observations. In this way, using fine asymptotic spectral properties of the Laplacian, we disclosed the links between the geometric properties of the domain where waves propagate and the existence of optimal locations for the sensors or, by the contrary, the emergence of relaxation phenomena. Here we show that spectral randomised observability is equivalent to the property of spectral controllability by means of a discrete set of lumped controls acting everywhere on the domain, and distributed according to the shape of the eigenfunctions. Our results on optimal observation then find natural equivalents on the problem of optimal spectral control. We also give an interpretation of these results in terms of a feedback stabilization property, ensuring the exponential decay of the energy of solutions as time tends to infinity. 相似文献
92.
环氧树脂电气绝缘性能优良, 但是其在脉冲功率设备中充当绝缘子时, 表面容易带电且不易衰减, 当表面电荷集聚到一定的程度会造成局部放电甚至发展为沿面闪络。为了提高环氧树脂的沿面闪络性能, 用中心粒径为1 m的氢氧化铝(ATH)无机填料来改善环氧树脂复合材料的表面性能。分别制备了ATH填料质量分数为0%(纯环氧) , 20%, 40%, 60%, 80%和100%的ATH/环氧树脂复合材料试样。用电声脉冲法研究了ATH填料对环氧树脂复合材料电荷衰减性能的影响, 对比了试样直流极化场强为10 kV/mm和30 kV/mm的试验结果。结果表明:ATH/环氧树脂复合材料电荷的衰减常数不仅与填料的质量分数有关, 而且与试样的带电量有关。 相似文献
93.
Composite material consisting of highly luminescent Zn(Cd)O:Ga powder embedded in the silica matrix was prepared. It was found out that ZnO:Ga with less developed crystals (i.e. annealed at lower temperatures) is more prone to interact with the SiO2 matrix and form zinc silicates, which in turn resulted in the decrease in the excitonic emission. Pre-annealing of the powders at temperatures above 600 °C prevented the interaction with the SiO2 matrix. ZnO:Ga with well-developed crystals at such a high temperatures was not affected by the matrix and retained its properties, i.e. high radioluminescence intensity and ultrafast sub nanosecond photoluminescence decay. Introducing Cd into the ZnO lattice caused observable red shift in the excitonic luminescence, without negatively affecting the total intensity or the decay. 相似文献
94.
The timing characteristics of scintillation response of Czochralski-grown Gd3Al2Ga3O12:Ce and Gd3Al2.6Ga2.4O12:Ce single crystals were compared. The photoelectron yield, scintillation decay times, and coincidence time resolution were measured. At 662 keV γ-rays, the photoelectron yield of 6200 phe MeV−1 obtained for Gd3Al2Ga3O12:Ce is higher than that of 4970 phe MeV−1 obtained for Gd3Al2.6Ga2.4O12:Ce, while an inferior energy resolution of the former (7.2% vs. 5.6%) is observed. Scintillation decays are approximated by sum of exponentials with the dominant fast component decay time and its relative intensity of 89 ns (73%) for Gd3Al2Ga3O12:Ce and 136 ns (69%) for Gd3Al2.6Ga2.4O12:Ce. The coincidence time resolution obtained for Gd3Al2Ga3O12:Ce is superior than that of Gd3Al2.6Ga2.4O12:Ce. The normalized time resolution was also discussed in terms of a number of photoelectrons and decay characteristics of the light pulse. 相似文献
95.
By assuming that the scalar meson KK0*(1430) belongs to the rst excited states or the lowest lying ground states of qq', we study the pure annihilation-type decays B→K0*±(1430)K(*)+ in the QCD factorization approach. Within the Standard Model, the branching fractions are of the order of 10-8-10-7, which is possible to measure in the ongoing LHCb experiment or forthcoming Belle-II experiment. We also study these decays in the family non-universal Z' model. The results show that if mZ' 600 GeV (ξ =0.02), both the branching fractions and CP asymmetries of q0 →K0*+(1430)K- could be changed remarkably, which provides us with a place for probing the e ect of new physics. These results could be used to constrain the parameters of the Z' model. 相似文献
96.
Wan–Rong Yang;Cao Fang; 《Studies in Applied Mathematics》2024,153(3):e12731
This paper investigates the stability problem and large time behavior of solutions to the three-dimensional magnetohydrodynamic equations with horizontal velocity dissipation and magnetic diffusion only in the x2$x_2$ direction. By applying the structure of the system, time-weighted methods, and the method of bootstrapping argument, we prove that any perturbation near the background magnetic field (1, 0, 0) is globally stable in the Sobolev space H3(R3)$H^3(mathbb {R}^3)$. Furthermore, explicit decay rates in H2(R3)$H^2(mathbb {R}^3)$ are obtained. Motivated by the stability of the three-dimensional Navier–Stokes equations with horizontal dissipation, this paper aims to understand the stability of perturbations near a magnetic background field and reveal the mechanism of how the magnetic field generates enhanced dissipation and helps stabilize the fluid. 相似文献
97.
Herein, we report an addition to the toolbox for the monitoring and quantification of the hydrolytic decay of pentose-1-phosphates, which are known to be elusive and difficult to quantify. This communication describes how apparent equilibrium shifts of a nucleoside phosphorolysis reaction can be employed to calculate hydrolytic loss of pentose-1-phosphates based on the measurement of post-hydrolysis equilibrium concentrations of a nucleoside and a nucleobase. To demonstrate this approach, we assessed the stability of the relatively stable ribose-1-phosphate at 98 °C and found half-lives of 1.8–11.7 h depending on the medium pH. This approach can be extended to other sugar phosphates and related reaction systems to quantify the stability of UV-inactive and hard-to-detect reaction products and intermediates. 相似文献
98.
Han-zhou Yu Jing Li Yan-Lin Ye Biao Yang Cheng-Jian Lin Hui-Ming Jia Jian-Ling Lou Xiao-Fei Yang T. Baba Qi-Te Li Yu-Cheng Ge Zhi-Huan Li Hui Hua Jin-Yan Xu Zai-Hong Yang Jun Feng Hong-Liang Zang Qiang Liu Wei Jiang Yang Liu Jing-Jing Li Wei Liu Shi-Wei Bai Jie Chen Jia-Xing Han Jia-Hao Chen Kai Ma Dong-Xi Wang Lei Yang Nan-Ru Ma LI-Jie Sun 《中国物理C(英文版)》2021,45(8):084002-084002-5
99.
In this paper, we consider a viscoelastic wave equation of variable coefficients in the presence of past history with nonlinear damping and delay in the internal feedback and dynamic boundary conditions. Under suitable assumptions, we establish an explicit and general decay rate result without imposing restrictive assumption on the behavior of the relaxation function at infinity by Riemannian geometry method and Lyapunov functional method. 相似文献
100.
Fluorescence decay and quenching of pyrene labels on copolymers of 2-acrylamido-2-methylpropanesulphonic acid (AMPS) and N,N-dimethylacrylamide were observed in dilute salt-free aqueous solutions as a function of the mole fraction FAMPS of AMPS from 0 to 0.896. Monoexponential decay was found for the samples of FAMPS<0.35 and biexponential decay for the samples of FAMPS>0.35. The fast decay component is 80%, and the averaged lifetime 〈τ〉 and lifetime τ1 of the fast decay is decreased with increasing FAMPS. Quenching efficiency of Cu2+, I−, CH3NO2, and dinitrobenzene to the pyrene label was investigated in the framework of Stern-Volmer plot. With increasing FAMPS the quenching efficiency of Cu2+ is increased while that of I− decreased. For the neutral quenchers, the quenching rate constant kq increases when FAMPS<0.449 then decreases, showing a decline of accessibility to the pyrene label. These results were interpreted consistently with the counterion condensation concept, where condensed counterions caused the polyelectrolyte chains to aggregate. The existence of less-polar “temporal aggregated domain” in highly charged polyelectrolytes appears to lead to the slower decay and lower accessibility of the pyrene labels. 相似文献