1,108 research outputs found

    Gaseous plume flows in space propulsion

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    AbstractThis paper presents a gaskinetic study on high-speed, highly rarefied jets expanding into a vacuum from a cluster of planar or annular exits. Based on the corresponding exact expressions for a planar or annular jet, it is convenient to derive the combined multiple jet flowfield solutions of density and velocity components. For the combined temperature and pressure solutions, extra attention is needed. Several direct simulation Monte Carlo simulation results are provided to validate these analytical solutions. The analytical and numerical solutions are essentially identical for these high Knudsen number jet flows

    Interior derivative estimates and Bernstein theorem for Hessian quotient equations

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    In this paper, we obtain the interior derivative estimates of solutions for elliptic and parabolic Hessian quotient equations. Then we establish the Bernstein theorem for parabolic Hessian quotient equations, that is, any parabolically convex solution u=u(x,t)∈C4,2(Rn×(−∞,0])u=u(x,t)\in C^{4,2}(\mathbb{R}^n\times (-\infty,0]) for −utSn(D2u)Sl(D2u)=1-u_t\frac{S_n(D^2u)}{S_l(D^2u)}=1 in Rn×(−∞,0]\mathbb{R}^n\times (-\infty,0] must be the form of u=−mt+P(x)u=-mt+P(x) with m>0m>0 being a constant and PP being a convex quadratic polynomial

    An end-to-end infant brain parcellation pipeline

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    Objective Accurate infant brain parcellation is crucial for understanding early brain development; however, it is challenging due to the inherent low tissue contrast, high noise, and severe partial volume effects in infant magnetic resonance images (MRIs). The aim of this study is to develop an end-to-end pipeline that enables accurate parcellation of infant brain MRIs. Methods We proposed an end-to-end pipeline that employs a two-stage global-to-local approach for accurate parcellation of infant brain MRIs. Specifically, in the global ROIs localization stage, a combination of transformer and convolution operations is employed to capture both global spatial features and fine texture features, enabling an approximate localization of the ROIs across the whole brain. In the local ROIs refinement stage, leveraging the position priors from the first stage along with the raw MRIs, the boundaries of the ROIs are refined for a more accurate parcellation. Results We utilize the Dice ratio to evaluate the accuracy of parcellation results. Results on 263 subjects from National Database for Autism Research (NDAR), Baby Connectome Project (BCP) and Cross-site datasets demonstrate the superior accuracy and robustness of our method than other competing methods. Conclusion Our end-to-end pipeline may be capable of accurately parcellating 6-month-old infant brain MRIs

    Spatiotemporal patterns and determinants of renewable energy innovation: Evidence from a province-level analysis in China

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    China’s renewable energy innovation is essential for realizing its carbon neutrality targets and the low-carbon transition, but few studies have spatially examined its characteristics and spillover effects. To fill the research gap, this study investigates its distribution and trends from a spatiotemporal dimension and focuses on the spatial effects of the influencing factors to identify those that have a significant impact on renewable energy innovation by using China’s provincial panel data from 2006 to 2019. The results show the following findings. (1) Renewable energy innovation shows distinct spatial differences across China’s provinces such that it is high in the east and south and low in the west and north, which exhibits spatial locking and path-dependence. (2) There is a positive spatial correlation with renewable energy innovation. (3) R&D investment and GDP per capita significantly promote renewable energy innovation, but the former effect is mainly observed in the local area, whereas the latter shows spatial effects. More market-oriented policies should be taken for the improvement of renewable energy innovation and the establishment of regional coordination mechanisms are proposed
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