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Regularity of the generalized Poisson operator
Pengtao Li,Zhiyong Wang,Kai Zhao 대한수학회 2022 대한수학회지 Vol.59 No.1
Let $L=-\Delta+V$ be a Schr\"{o}dinger operator, where the potential $V$ belongs to the reverse H\"{o}lder class. In this paper, by the subordinative formula, we investigate the generalized Poisson operator $P^{L}_{t,\sigma}$, $0<\sigma<1$, associated with $L$. We estimate the gradient and the time-fractional derivatives of the kernel of $P^{L}_{t,\sigma}$, respectively. As an application, we establish a Carleson measure characterization of the Campanato type space $\mathcal{C}^{\gamma}_{L}(\mathbb{R}^{n})$ via $P^{L}_{t,\sigma}$.
Loic Pengtao Li,Biljana Juric,Roderick Brodie 글로벌지식마케팅경영학회 2018 Global Marketing Conference Vol.2018 No.07
A predominantly positive view is shown in engagement literature in terms of positive actor engagement (PNE) expressions and outcomes. However, business practices indicate that the understanding of actors being negatively engaged is important. Yet a few studies in marketing, which attempt to conceptualise negative actor engagement (NAE), do not have a consensus as for whether NE and PE are reciprocal or NE is a distinct construct with a different nomological network and process. The purpose of this study is to conceptualise and operationalise NAE. Built on Li et al.’s (2018) conceptualisation of actor engagement valence, this paper follows Churchill’s (1979) methods of scale development and operationalises the construct of NAE. By developing and validating a NAE scale in specific online learning servcie platforms, we address this identified literature gap. Specifically, this study derives four NAE dimensions, including annoyance, anxiety, futitlity and failed expectation, which we proceed to validate within a nomological net of conceptual relationships in relation to the engagement behaviours (learning, sharing and endorsing). We conclude with an overview of key managerial and scholarly implications arising from this research. This marks the first study in the marketing discipline to operationalise NAE.
Jie Li,Weiqiang Wang,Chengqing Wu,Zhongxian Liu,Pengtao Wu 국제구조공학회 2022 Steel and Composite Structures, An International J Vol.42 No.3
This paper studies the lateral impact behavior of ultra-high performance fiber-reinforced concrete (UHPFRC) filled double-skin steel tubular (UHPFRCFDST) columns. The impact force, midspan deflection, and strain histories were recorded. Based on the test results, the influences of drop height, axial load, concrete type, and steel tube wall thickness on the impact resistance of UHPFRCFDST members were analyzed. LS-DYNA software was used to establish a finite element (FE) model of UHPFRC filled steel tubular members. The failure modes and histories of impact force and midspan deflection of specimens were obtained. The simulation results were compared to the test results, which demonstrated the accuracy of the finite element analysis (FEA) model. Finally, the effects of the steel tube thickness, impact energy, type of concrete and impact indenter shape, and void ratio on the lateral impact performances of the UHPFRCFDST columns were analyzed.
Calculation of the Allowable Drainage of Parallel Tunnels Based on Ecological Environment Protection
Helin Fu,Pengtao An,Guowen Cheng,Shujie Wen,Jie Li 대한토목학회 2022 KSCE JOURNAL OF CIVIL ENGINEERING Vol.26 No.5
To determine a reasonable value of parallel tunnel drainage, a steady-flow calculation model is established. The differential equilibrium equation of seepage is established, and the equation of the falling funnel curve in a steady state with drainage parameters is solved by using boundary conditions. The maximum drawdown depth of the control point is used to calculate the allowable discharge of the tunnel. Then, the curve equation of the falling funnel is determined, the volume of the drainage funnel is calculated, and the total discharge in the steady state is calculated according to the water storage coefficient. Finally, the theoretical formula is verified based on an engineering case and numerical simulation. Considering the actual engineering geology and hydrogeological conditions of the tunnel site, the total drainage, allowable drainage, and initial support bearing head height calculated with the proposed method are different from the actual measurements collected on site by 10%, 18.9% and 13.6%, respectively. Therefore, the calculation method can provide a reference for similar engineering.
Helin Fu,Jie Li,Guoliang Li,Jingjun Chen,Pengtao An 대한토목학회 2023 KSCE Journal of Civil Engineering Vol.27 No.6
The Sejila tunnel, part of the Sichuan–Tibet railway, is in a complex geostress environment because of its deep burial depths and tectonic movement. Based on the measured stress data combined with the structural history and features, the stress characteristics of the Sejila area are preliminarily identified. Then, a three-dimensional numerical model that can provide real topographic features is established, and a distribution law of stress boundary conditions is proposed according to compilations of much measured stress data. By means of support vector regression (SVR), the stress field of the whole Sejila region is determined and finds a reasonable accordance with the measured stress data. Results show that the vertical stress in deep buried stratum can be approximately regarded as one of the principal stresses, and it is reasonable to apply the lateral stress to the model boundary according to a linear function with burial depth. The in situ stress in the tunnel site exhibits that σH > σV > σh, and the σHdirection deflects when it encounters faults or strata interfaces; the larger that the intersecting angle between fault strike and σH is, the smaller the deflection. Compared to the entrance, the rear of the tunnel is subjected to a high maximum principal stress with a high angle; moreover, most sections of the tunnel are estimated to suffer from severe rockbursts, except for a range of 5 km away from the tunnel entrance and 2.5 km away from the exit, according to the Russense criterion. This paper can provide the basis for the prediction and prevention of rockbursts in the Sejila tunnel.