In this paper, we prove an optimal Heintze-Karcher-type inequality for anisotropic free boundary hypersurfaces in general convex domains. The equality is achieved for anisotropic free boundary Wulff shapes in a convex...
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In this paper, we utilize the method of Heintze-Karcher to prove a "best" version of Heintze-Karcher-type inequality for capillary hypersurfaces in the half-space or in a wedge. One of new crucial ingredient...
Manginoids A-G (1-7), seven monoterpene-shikimate-conjugated meroterpenoids with a spiro ring system, were isolated from Guignardia mangiferae. Compounds 1-4 are four isomers with epimeric and double-bond isomeric fea...
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Manginoids A-G (1-7), seven monoterpene-shikimate-conjugated meroterpenoids with a spiro ring system, were isolated from Guignardia mangiferae. Compounds 1-4 are four isomers with epimeric and double-bond isomeric features possessing a 6-oxaspiro[bicyclo[3.2.1]octane-3,5 '-indene] ring, which represent the first examples of spiro meroterpenoids bearing a bridged spirocyclohexanedione moiety. Compounds 5 and 6 possess an unexpected 2,4-dioxatricyclo[3.3.1.0(3,7)]nonane motif, which fuses with a 6-oxabicyclo[3.2.1]octane moiety. Compound 1 exhibits inhibitory activities against 11 beta-hydroxysteroid dehydrogenase type 1 with an IC50 value of 0.84 mu M.
In this paper, we show that any embedded capillary hypersurface in the half-space with anisotropic constant mean curvature is a truncated Wulff shape. This extends Wente’s result [32] to the anisotropic case and He-L...
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In this note, we study a Serrin-type partially overdetermined problem proposed by Guo-Xia (Calc. Var. Partial Differential Equations 58: no. 160, 2019. https://***/10.1007/s00526-019-1603-3), and prove a rigidity resu...
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In this paper, we first prove a rigidity result for a Serrin-type partially overdetermined problem in the half-space, which gives a characterization of capillary spherical caps by the overdetermined problem. In the se...
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Natural gas hydrates are a promising and environmentally sustainable energy resource, but their commercial production remains challenging. External heating is crucial for improving production efficiency. In this study...
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Natural gas hydrates are a promising and environmentally sustainable energy resource, but their commercial production remains challenging. External heating is crucial for improving production efficiency. In this study, we employed a self-developed simulator (IGG-hydrate) to compare the thermal performance of three key heating methods: electric heating (EH), steam injection (SI), and hot water injection (WI). Quantitative indicators, including heating and depressurization thresholds, were introduced to assess the effectiveness of each method. The results demonstrate that external heating significantly facilitates hydrate dissociation, with electric heating and steam injection showing comparable gas production rates and early-stage efficiency. However, both electric heating and steam injection methods can cause localized overheating near injection wells, leading to energy inefficiency. In contrast, hot water injection achieves a more uniform temperature distribution and a broader heating range, while avoiding excessive temperature rise. However, it also reduces depressurization efficiency and increases subsidence near the wells. To optimize performance, we propose a steam-water alternating injection strategy: steam is injected initially for rapid dissociation near the wells, followed by hot water injection to extend the heating range and maintain thermal efficiency with the same equipment.
In this paper we prove the following Willmore-type inequality: On an unbounded closed convex set K ⊂ Rn+1 (n ≥ 2), for any embedded hypersurface Σ ⊂ K with boundary ∂Σ ⊂ ∂K satisfying a certain contact angle condit...
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n-Type conjugated polymers (CPs) are crucial in the applications of organic electronics. Direct coupling of electron-deficient C-H monomer via selective C-H activation, namely C-H/C-H oxidative direct arylation polyco...
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n-Type conjugated polymers (CPs) are crucial in the applications of organic electronics. Direct coupling of electron-deficient C-H monomer via selective C-H activation, namely C-H/C-H oxidative direct arylation polycondensation (Oxi-DArP), is an ideal approach toward such CPs. Herein, Oxi-DArP is firstly adopted to synthesize a high-performance n-type CP using a newly developed monomer, i.e., 3,6-di(thiazol-5-yl)-diketopyrrolopyrrole (Tz-5-DPP). Tz-5-DPP based homopolymer PTz-5-DPP with a molecular weight of 22 kDa has been synthesized via Oxi-DArP. After n-doping, PTz-5-DPP films exhibited electric conductivity values up to 8 S cm(-1) and power factors (PFs) up to 106 mu W m(-1) K-2. Notably, this PF value is the highest for n-type polymer thermoelectric materials to date. The Oxi-DArP synthesis and the excellent n-type performance of the polymer make this work an important step toward the straightforward and sustainable preparation of high-performance n-type polymer semiconductors.
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