Dynamics of non-autonomous reaction-diffusion equations in locally uniform spaces

In this paper, we first prove the well-posedness for thenon-autonomous reaction-diffusion equations on the entire space $\R^N$ in thesetting of locally uniform spaces with singular initial data. Thenwe study the asymptotic behavior of solutions of such equation andshow the existence of$(H^1,q_U(\R^N),H^1,q_\phi(\R^N))$-uniform(w.r.t.g\in\mcH_L^q_U(\R^N)(g_0)) attractor\mcA_\mcH_L^q_U(\R^N)(g_0) with locally uniform externalforces being translation uniform bounded but not translation compactin $L_b^p(\R;L^q_U(\R^N))$. We also obtain the uniform attracting propertyin the stronger topology

Three-dimensional simulation of wormhole propagation in fractured-vuggy carbonate rocks during acidization

Acidization is a widely used stimulation technique for carbonate reservoirs aimed at removing formation damage, and if successful, can result in the creation of wormholes of specific lengths and conductivities around the wellbore. The formation of wormholes depends on the injection rate for a particular acid-mineral system and can be predicted through numerical simulations of the reactive phenomenon during acidization. In this paper, the commonly used two-scale continuum model is enhanced to encompass fractured-vuggy porous media. The fractures are characterized by a pseudo-fracture model, while vugs are represented by a cluster of anomalous matrices with high porosity. Moreover, a method for generating random pore-fracture-vuggy models is proposed. The governing equations are discretized by the finite volume method and are solved under three-dimensional linear and radial conditions. Sensitivity analysis of dissolution dynamics with respect to fracture and vug parameters is performed. The simulation results indicate that both fractures and vugs significantly impact wormhole development. Except for fractures perpendicular to the acid flow direction, fractures in other directions play a crucial role in determining the direction of wormhole growth.Cited as: Liu, P., Kong, X., Feng, G., Zhang, K., Sun, S., Yao, J. Three-dimensional simulation of wormhole propagation in fractured-vuggy carbonate rocks during acidization. Advances in Geo-Energy Research, 2023, 7(3): 199-210. https://doi.org/10.46690/ager.2023.03.0

NTIRE 2022 Challenge on High Dynamic Range Imaging:Methods and Results

This paper reviews the challenge on constrained high dynamic range (HDR) imaging that was part of the New Trends in Image Restoration and Enhancement (NTIRE) workshop, held in conjunction with CVPR 2022. This manuscript focuses on the competition set-up, datasets, the proposed methods and their results. The challenge aims at estimating an HDR image from multiple respective low dynamic range (LDR) observations, which might suffer from under-or over-exposed regions and different sources of noise. The challenge is composed of two tracks with an emphasis on fidelity and complexity constraints: In Track 1, participants are asked to optimize objective fidelity scores while imposing a low-complexity constraint (i.e. solutions can not exceed a given number of operations). In Track 2, participants are asked to minimize the complexity of their solutions while imposing a constraint on fidelity scores (i.e. solutions are required to obtain a higher fidelity score than the prescribed baseline). Both tracks use the same data and metrics: Fidelity is measured by means of PSNR with respect to a ground-truth HDR image (computed both directly and with a canonical tonemapping operation), while complexity metrics include the number of Multiply-Accumulate (MAC) operations and runtime (in seconds).</p

Portfolio Selection Based on a Four-Dimensional Weighted Scoring Model

Although factor investment approaches are currently receiving a lot of attention, active investment strategies rarely apply the combination of different factors. This paper's major goal is to utilise a clearly defined model to assess if the portfolio chosen by the model offers superior total returns compared to standard indexes (S&amp;P 100 is taken as an example in this article). The author constructs a weighted scoring model combing different indicators to well demonstrate four factors based on the identification of valuation, profitability, growth and pay-out. This paper collects data of high-capitalization corporates in US during the period from 2015 to 2021 to illustrate that an active management portfolio well designed by the weighted scoring model can outperform competing index strategies. The reported results illustrate that combined precisely weighted indicators deliver significant outcome of selected stocks, especially in the long-term condition. The 5-year return of the selected portfolio, which is determined by the model constructed, delivers the outstanding performance with returns of up to about 180%.</jats:p