Lithium metal batteries(LMBs)are considered the ideal choice for high volumetric energy density lithium-ion batteries,but uncontrolled lithium deposition poses a significant challenge to the stability of such devices....Lithium metal batteries(LMBs)are considered the ideal choice for high volumetric energy density lithium-ion batteries,but uncontrolled lithium deposition poses a significant challenge to the stability of such devices.In this paper,we introduce a 2.5μm-thick asymmetric and ultrastrong separator,which can induce tissue-like lithium deposits.The asymmetric separator,denoted by utPE@Cu_(2)O,was prepared by selective synthesis of Cu_(2)O nanoparticles on one of the outer surfaces of a nanofibrous(diameter~10 nm)ultrastrong ultrahigh molecular weight polyethylene(UHMWPE)membrane.Microscopic analysis shows that the lithium deposits have tissue-like morphology,resulting in the symmetric lithium cells assembled using utPE@Cu_(2)O with symmetric Cu_(2)O coating exhibiting stable performance for over 2000 h of cycling.This work demonstrates the feasibility of a facile approach ultrathin separators for the deployment of lithium metal batteries,providing a pathway towards enhanced battery performance and safety.展开更多
With the advancement in oil exploration, producible oil and gas are being found in low resistivity reservoirs, which may otherwise be erroneously thought as water zones from their resistivity. However, the evaluation ...With the advancement in oil exploration, producible oil and gas are being found in low resistivity reservoirs, which may otherwise be erroneously thought as water zones from their resistivity. However, the evaluation of low resistivity reservoirs remains展开更多
Let R_Ⅲ(n) be the classical domain of type Ⅲ with n≥2. This article is devoted to a deep study of the Schwarz lemma on R_Ⅲ(n) via not only exploring the smooth boundary points of R_Ⅲ(n) but also proving the Schwa...Let R_Ⅲ(n) be the classical domain of type Ⅲ with n≥2. This article is devoted to a deep study of the Schwarz lemma on R_Ⅲ(n) via not only exploring the smooth boundary points of R_Ⅲ(n) but also proving the Schwarz lemma at the smooth boundary point for holomorphic self-mappings of R_Ⅲ(n).展开更多
In this paper, we investigate rigidity and its applications to extreme points of biholomorphic convex mappings on Reinhardt domains. By introducing a version of the scaling method, we precisely construct many unbounde...In this paper, we investigate rigidity and its applications to extreme points of biholomorphic convex mappings on Reinhardt domains. By introducing a version of the scaling method, we precisely construct many unbounded convex mappings with only one in?nite discontinuity on the boundary of this domain. We also give a rigidity of these unbounded convex mappings via the Kobayashi metric and the Liouville-type theorem of entire functions. As an application we obtain a collection of extreme points for the class of normalized convex mappings. Our results extend both the rigidity of convex mappings and related extreme points from the unit ball to Reinhardt domains.展开更多
Let sv be the extended Schrödinger–Virasoro Lie algebra and n≥1 an integer.A map f:svn=sv×sv×⋯×sv→sv is called an n-derivation if it is a derivation in one variable while other variables fixed.W...Let sv be the extended Schrödinger–Virasoro Lie algebra and n≥1 an integer.A map f:svn=sv×sv×⋯×sv→sv is called an n-derivation if it is a derivation in one variable while other variables fixed.We investigate n-derivations of the extended Schrödinger–Virasoro Lie algebra sv.The main result when n=2 is then applied to characterize the linear commuting maps and the commutative post-Lie algebra structures on sv.展开更多
We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras.In particular,we prove that all super-biderivations of not-finitely graded Lie superalgeb...We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras.In particular,we prove that all super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras are inner.展开更多
We study a class of super W-algebras whose even part is the Virasoro type Lie algebra W(2,2).We quantize the Lie superbialgebra of the super W-algebra by the Drinfeld twist quantization technique and obtain a class of...We study a class of super W-algebras whose even part is the Virasoro type Lie algebra W(2,2).We quantize the Lie superbialgebra of the super W-algebra by the Drinfeld twist quantization technique and obtain a class of noncommutative and noncocommutative Hopf superalgebras.展开更多
We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the ...We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first eohomology group H1 （W, W × W） is trivial,展开更多
文摘Lithium metal batteries(LMBs)are considered the ideal choice for high volumetric energy density lithium-ion batteries,but uncontrolled lithium deposition poses a significant challenge to the stability of such devices.In this paper,we introduce a 2.5μm-thick asymmetric and ultrastrong separator,which can induce tissue-like lithium deposits.The asymmetric separator,denoted by utPE@Cu_(2)O,was prepared by selective synthesis of Cu_(2)O nanoparticles on one of the outer surfaces of a nanofibrous(diameter~10 nm)ultrastrong ultrahigh molecular weight polyethylene(UHMWPE)membrane.Microscopic analysis shows that the lithium deposits have tissue-like morphology,resulting in the symmetric lithium cells assembled using utPE@Cu_(2)O with symmetric Cu_(2)O coating exhibiting stable performance for over 2000 h of cycling.This work demonstrates the feasibility of a facile approach ultrathin separators for the deployment of lithium metal batteries,providing a pathway towards enhanced battery performance and safety.
基金the Natural Science Foundation of Heilongjiang Province (Grant No.TE 2005-24)
文摘With the advancement in oil exploration, producible oil and gas are being found in low resistivity reservoirs, which may otherwise be erroneously thought as water zones from their resistivity. However, the evaluation of low resistivity reservoirs remains
基金supported by the National Natural Science Foundation of China(Nos.11571105,11771139)。
文摘Let R_Ⅲ(n) be the classical domain of type Ⅲ with n≥2. This article is devoted to a deep study of the Schwarz lemma on R_Ⅲ(n) via not only exploring the smooth boundary points of R_Ⅲ(n) but also proving the Schwarz lemma at the smooth boundary point for holomorphic self-mappings of R_Ⅲ(n).
基金supported by National Natural Science Foundation of China (Grant Nos. 11471111, 11571105 and 11671362)the Natural Science Foundation of Zhejiang Province (Grant No. LY16A010004)
文摘In this paper, we investigate rigidity and its applications to extreme points of biholomorphic convex mappings on Reinhardt domains. By introducing a version of the scaling method, we precisely construct many unbounded convex mappings with only one in?nite discontinuity on the boundary of this domain. We also give a rigidity of these unbounded convex mappings via the Kobayashi metric and the Liouville-type theorem of entire functions. As an application we obtain a collection of extreme points for the class of normalized convex mappings. Our results extend both the rigidity of convex mappings and related extreme points from the unit ball to Reinhardt domains.
基金This work was supported in part by the NSFC(No.11771069)the NSF of Heilongjiang Province(No.LH2020A020)the Fund of Heilongjiang Provincial Laboratory of the Theory and Computation of Complex Systems。
文摘Let sv be the extended Schrödinger–Virasoro Lie algebra and n≥1 an integer.A map f:svn=sv×sv×⋯×sv→sv is called an n-derivation if it is a derivation in one variable while other variables fixed.We investigate n-derivations of the extended Schrödinger–Virasoro Lie algebra sv.The main result when n=2 is then applied to characterize the linear commuting maps and the commutative post-Lie algebra structures on sv.
基金supported in part by the National Natural Science Foundation of China(Grant Nos.11601135,11701158,11771069)the Natural Science Foundation of Heilongjiang Province of China(Grant Nos.QC2017002,LH2020A020)the Project funded by China Postdoctoral Science Foundation(Grant No.2018M630311).
文摘We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras.In particular,we prove that all super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras are inner.
基金supported in part by the NNSF of China(No.12271085)the NSF of Heilongjiang Province(No.LH2020A020)the Fund for the Graduate Innovation Research of Heilongjiang University(No.YJSCX2020-077HLJU).
文摘We study a class of super W-algebras whose even part is the Virasoro type Lie algebra W(2,2).We quantize the Lie superbialgebra of the super W-algebra by the Drinfeld twist quantization technique and obtain a class of noncommutative and noncocommutative Hopf superalgebras.
文摘We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first eohomology group H1 （W, W × W） is trivial,
