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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Mining activities can cause heavy metal pollution which affects soil microbial diversity. Current understanding on the impact of Cu mines especially that of bioavailable heavy metals on microbial communities is still ...
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Mining activities can cause heavy metal pollution which affects soil microbial diversity. Current understanding on the impact of Cu mines especially that of bioavailable heavy metals on microbial communities is still limited. This study investigated heavy metal distribution and microbial diversity of the surrounding soil and tailings of two Cu mines from Tibet (JM) and Zhejiang (JD), China. Cu, Pb, Zn, and Cr concentrations in the soil around JM were 107.33 +/- 75.48, 29.21 +/- 19.66, 73.89 +/- 28.79, and 17.88 +/- 4.91 mg center dot kg(-1), respectively, and those of JD were 40.59 +/- 21.86, 27.00 +/- 19.40, 95.45 +/- 54.36, and 30.87 +/- 11.55 mg center dot kg(-1), respectively. For each mine, the sites closer to the mining area displayed higher PINemerow values and acid extractable contents of Cu (Cu-_AE), Zn (Zn-_AE), and Pb (Pb-_AE). The tailings samples showed lower microbial diversity and higher abundances of heavy metal-resistant organisms including the ones from the phyla Firmicutes and Bacteroidetes and the genera Bacteroides, Lactobacillus, and Staphylococcus than the surrounding soil samples. Canonical corresponding analysis (CCA) revealed that water content, altitude, electrical conductivity (EC), total concentration of Zn (Zn-_total), Cu-_AE, Zn-_AE, and Pb-_AE, and pH value were effective environmental factors shaping the structure of all the investigated communities. Acid extractable contents of Pb and Zn rather than their total concentrations were significantly correlated to JM surrounding soil microbial structure. Microbial structure differentiations of the surrounding soil of JM and JD were largely attributed to stochastic processes, suggested by the beta nearest taxon index (beta NTI).
Attribute reduction is one of the core contents in rough set knowledge discovery, how to find the minimal attribute reduction, proposes an attribute reduction method using adaptive Genetic Algorithm(GA) and Particle S...
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The rational tailoring and molecular-level engineering of stable cathode-electrolyte interphases (CEIs) is paramount to advancing the performance of next-generation high-energy, layered nickel-rich oxide-based lithium...
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The rational tailoring and molecular-level engineering of stable cathode-electrolyte interphases (CEIs) is paramount to advancing the performance of next-generation high-energy, layered nickel-rich oxide-based lithium metal batteries. However, developing well-tailored electrolyte additives with rationally controlled interfacial chemistry remains highly challenging. Here, two lithium borates: lithium (2-methoxy-15-crown-5)trifluoroborate (C-LiMCFB) and lithium (15-methoxy-2,5,8,11,14-pentaoxahexadecan)trifluoroborate (L-LiMCFB), incorporating cyclic 15-crown-5 (15C5) and linear pentaethylene glycol monomethyl ether (PEGME) as respective host groups tethered to the boron center are designed and synthesized. In C-LiMCFB, the supramolecular polydentate chelation/de-chelation of the 15C5 with Li+ can sequentially deactivate/activate the anodic decomposition of the C & horbar;O bonds, therefore leading to the controlled cleavage pathway of B & horbar;O and C & horbar;O bonds. The controlled interfacial chemistry leads to the formation of a uniform CEI layer, rich in lithium boron-oxygen clusters interwoven with LiF, on the NCM811 surface. This novel CEI configuration demonstrates an exceptional balance of mechanical robustness, adhesiveness, and toughness, providing highly desirable protection for the NCM811 cathode. The discovery of these novel supramolecular boron-based lithium salts not only unlocks supramolecular chemistry for rational electrolyte tuning but also provides a deeper understanding of the CEI formation mechanism in high-energy lithium metal batteries.
In this paper, we establish a Heintze-Karcher type inequality for hypersurfaces with capillary boundary of contact angle θ ∈ (0, π/2) in a half space or a half ball, by using solution to a mixed boundary value prob...
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Anode-free lithium metal batteries (AFLMBs) are promising due to ultrahigh energy density, reduced manufacturing costs, and enhanced safety through active lithium elimination. However, their practical implementation r...
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Anode-free lithium metal batteries (AFLMBs) are promising due to ultrahigh energy density, reduced manufacturing costs, and enhanced safety through active lithium elimination. However, their practical implementation remains challenged by unstable electrode-electrolyte interfaces and the resulting rapid active species depletion. Herein, an ultrathin ion-conducting membrane (ICM) is designed, featuring uniformly distributed rigid benzenesulfonimide anionic groups and flexible lithiophilic groups containing ether oxygen groups. The constrained benzenesulfonimide anions enable exceptional charge separation and reduced spatial resistance, boosting lithium-ion mobility, while the integrated lithophilic network directs lateral lithium deposition through ionic nanochannels. This ICM layer effectively promotes the enrichment of anions at the interface and constructs stable anion-derived solid electrolyte interphases (SEI). Meanwhile, ICM layers with electron-insulating and ion-conducting properties can further prevent side reactions, and suppress dendritic Li growth acting as a natural shield, resulting in seamless lithium deposition. Specifically, the Li||Cu coin cells with ICM achieve 99.82% Coulombic efficiency. The AFLMBs assembled with ICM-coated copper foil (ICM Cu) and NCM811 deliver an energy density of 495 Wh kg-1 with 80.72% capacity retention after 100 cycles. The interphasial chemistry design strategy provides insights into the precise interfacial engineering to realize high-performance, high-safety battery systems and facilitates their development for practical applications.
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...
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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