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91.
《Journal of Functional Analysis》2023,284(1):109722
Motivated by the probabilistic methods for nonlinear differential equations introduced by McKean (1975) for the Kolmogorov-Petrovski-Piskunov (KPP) equation, and by Le Jan and Sznitman (1997) for the incompressible Navier-Stokes equations (NSE), we identify a new class of stochastic cascade models, referred to as doubly stochastic Yule cascades. We establish non-explosion criteria under the assumption that the randomization of Yule intensities from generation to generation is by an ergodic time-reversible Markov process. In addition to the cascade models that arise in the analysis of certain deterministic nonlinear differential equations, this model includes the multiplicative branching random walks, the branching Markov processes, and the stochastic generalizations of the percolation and/or cell ageing models introduced by Aldous and Shields (1988) and independently by Athreya (1985). 相似文献
92.
Inez Maria Zwetsloot Tahir Mahmood Funmilola Mary Taiwo Zezhong Wang 《商业与工业应用随机模型》2023,39(6):789-817
Early detection of changes in the frequency of events is an important task in many fields, such as disease surveillance, monitoring of high-quality processes, reliability monitoring, and public health. This article focuses on detecting changes in multivariate event data by monitoring the time-between-events (TBE). Existing multivariate TBE charts are limited because they only signal after an event occurred for each of the individual processes. This results in delays (i.e., long time-to-signal), especially when we are interested in detecting a change in one or a few processes with different rates. We propose a bivariate TBE chart, which can signal in real-time. We derive analytical expressions for the control limits and average time-to-signal performance, conduct a performance evaluation and compare our chart to an existing method. Our findings showed that our method is an effective approach for monitoring bivariate TBE data and has better detection ability than the existing method under transient shifts and is more generally applicable. A significant benefit of our method is that it signals in real-time and that the control limits are based on analytical expressions. The proposed method is implemented on two real-life datasets from reliability and health surveillance. 相似文献
93.
Zhenxin Liu 《数学研究通讯:英文版》2023,39(3):476-500
The limit distribution for homogeneous Markov processes is studied extensively and well understood, but it is not the case for inhomogeneous
Markov processes. In this paper, we review some recent results on inhomogeneous Markov processes generated by non-autonomous stochastic (partial)
differential equations (SDE in short). Under some suitable conditions, we show
that the distribution of recurrent solutions of SDEs constitutes the limit distribution of the corresponding inhomogeneous Markov processes. 相似文献
94.
95.
本文研究了Markovian过程和non-Markovian过程两种情况下,原子系统中偶极-偶极(D-D)相互作用和失谐量对两原子系统量子存储支撑(QMA)熵不确定度的调控作用.与Markovian过程相比,在non-Markovian过程中,由于库环境的记忆效应使得具有D-D相互作用的两原子系统QMA熵不确定度的演化行为呈现出振荡上升现象,且熵不确定度的上升趋势得到减缓,从而抑制了由系统量子噪声引起的退相干效应.此外,D-D相互作用对两原子系统QMA熵不确定度具有显著的调控能力,且D-D相互作用比失谐量的调控能力更强. 相似文献
96.
In this study, the effect of photo-Fenton process on the treatment of petrochemical waste water treatment was investigated. The influence of process conditions were determined by factorial design. Optimization of the process conditions were performed by central composite design. Under, optimized conditions lab scale and solar assisted pilot scale of petrochemical waste water treatment was performed. Three factors namely initial pH, H2O2 concentration (mM) and Fe2+ concentration (mM) executed the essential role in petrochemical waste water treatment. Central composite design resulted in the prediction of optimized value as 6.5 initial pH, 15.65 mM of H2O2 concentration and 2.09 mM of Fe2+ concentration. Under these conditions, the reduction in chemical oxygen demand (COD) percentage reached about 68.67 ± 2.8% after 280 min in pilot scale of solar assisted photo Fenton process of petrochemical waste water treatment. Thus, experimental design combined with advanced Fenton process can become a feasible unconventional method for petrochemical waste water treatment. 相似文献
97.
Jie Zhang Yuyin Wang Yun Wang Yang Bai Xin Feng Jiahua Zhu Xiaohua Lu Liwen Mu Tingzhen Ming Renaud de Richter Wei Li 《Chemistry (Weinheim an der Bergstrasse, Germany)》2022,28(64):e202201984
Methane (CH4) is a potent greenhouse gas and the second highest contributor to global warming. CH4 emissions are still growing at an alarmingly high pace. To limit global warming to 1.5 °C, one of the most effective strategies is to reduce rapidly the CH4 emissions by developing large-scale methane removal methods. The purpose of this perspective paper is threefold. (1) To highlight the technology gap dealing with low concentration CH4 (at many emission sources and in the atmosphere). (2) To analyze the challenges and prospects of solar-driven gas phase advanced oxidation processes for CH4 removal. And (3) to propose some ideas, which may help to develop solar-driven gas phase advanced oxidation processes and make them deployable at a climate significant scale. 相似文献
98.
Dynamics of milling processes with variable time delays 总被引:5,自引:0,他引:5
A milling-process model with a variable time delay associated with each cutting tooth is presented in this article. The source
of this variable time delay is the feed rate. The effect of the feed motion on the entry cutting angle, the exit cutting angle,
and the amplitude of feed mark is also discussed. Loss-of-contact effects are also considered. The system dynamics is described
by a set of delay differential equations with periodic coefficients and variable time delays. A semi-discretization scheme
is presented for analyzing the stability of periodic orbits of this system. The analysis provides evidence of period-doubling
bifurcations and secondary Hopf bifurcations. Good agreement is found between the numerical results obtained from this work
and the results of related experimental studies. 相似文献
99.
Yang Wei 《Acta Mechanica Sinica》1987,3(4):344-353
Strain hardening, crack growth resistance and nonuniform load distribution have significant effects on the ductile tearing
process. A defect assessment procedure incorporating with the above features is proposed in the present paper, with the final
appearance of “design curves” to facilitate engineering applications. 相似文献
100.