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High-performance Ti_(3)C_(2)T_(x)achieved by polyaniline intercalation and gelatinization as a high-energy cathode for zinc-ion capacitor

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Nano Research 2024年第6期17卷 5305-5316页

作者： Peng Liao ZiYu Geng Xin Zhang Wenjie Yan Zenghui Qiu Haijun Xu college of {1. and physics Beijing University of Chemical TechnologyBeijing 100029China

The actual manufacture of supercapacitors(SCs)is restricted by the inadequate energy density,and the energy density of devices can be properly promoted by assembling zinc-ion capacitors(ZICs)which used capacitive cathode and battery-type ***-dimensional(2D)MXene has brought great focuses in the electrode research on the foundation of large redox-active surface,but the specific capacitance is still affected by the tight stacking of ***_(3)C_(2)T_(x)@polyaniline(PANI)heterostructures are prepared by uniformly depositing the conductive polymer PANI nanorods as the intercalation agent into the external of Ti_(3)C_(2)T_(x)nanosheets to inhibit ***,by using graphene oxide(GO)-assisted low-temperature hydrothermal self-assembly manufacture,2D heterostructures are assembled into the three-dimensional(3D)porous crosslinked Ti_(3)C_(2)T_(x)@PANI-reduced graphene oxide(RGO)*** to the synergistic work of PANI nanorods,Ti_(3)C_(2)T_(X)nanosheets,and 3D crosslinking frameworks of RGO to match capacitive and battery effects,3D porous hierarchical Ti_(3)C_(2)T_(x)@PANI-RGO heterostructure hydrogels have rich ion transport channels,a large number of active sites,and excellent reaction *** is assembled by using Ti_(3)C_(2)T_(x)@PANI-RGO heterostructure hydrogels as cathodes and zinc foil as *** this work,Ti_(3)C_(2)T_(x)@PANI-RGO//Zn ZIC exhibits a wide working window(2.0 V),marked specific capacitance(589.89 F·g^(−1.at 0.5 A·g−1.,salient energy density(327.71.Wh·kg^(−1.at 51..61.W·kg^(−1.and 1.2.20 Wh·kg^(−1.at 1.,005.87 W·kg^(−1.),and durable cycling stability(97.87%capacitance retention after 1.,000 cycles at 1. A·g^(−1.).This study emphasizes the device design of ZICs and the broad prospect of Ti_(3)C_(2)T_(x)-based hydrogels as viable cathodes for ZICs.

关键词： polyaniline(PANI) Ti_(3)C_(2)T_(x)@PANI heterostructure intercalation process three-dimensional(3D)porous hydrogel high energy density zinc-ion capacitor

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CONVERGENCE OF MODIFIED TRUNCATED EULER-MARUYAMA METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH HOLDER DIFFUSION COEFFICIENTS

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Journal of Computational mathematics 2024年第4期42卷 1109-1123页

作者： Guangqiang Lan Yu Jiang college of {1. and physics Beijing University of Chemical TechnologyBeijing 100029China

Convergence of modified truncated Euler-Maruyama(MTEM)method for stochastic differential equations(SDEs)with(1.2+α)-Holder continuous diffusion coefficients are investigated in this *** prove that the MTEM method for... 详细信息

关键词： Stochastic differential equations Modified truncated Euler-Maruyama method Strong convergence One-sided Lipschitz Holder continuous

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Room-temperature nitrogen-rich niobium nitride photodetector for terahertz detection

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Optoelectronics Letters 2024年第11期20卷 641-646页

作者： LU Xuehui LIU Binding CHI Chengzhu LIU Feng SHI Wangzhou Department of physics Mathematics & Science College Shanghai Normal University

A sensitive room-temperature metal-semiconductor-metal(MSM) structure is fabricated on high-resistivity silicon substrates(ρ>4 000 Ω·cm) for terahertz(THz) detection by utilizing the photoconductive effect.

关键词： A

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THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THERMOMECHANICAL CUCKER-SMALE-STOKES EQUATIONS IN THE WHOLE DOMAIN

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Acta Mathematica Scientia 2024年第3期44卷 887-908页

作者：邹委员 college of {1. and physics Beijing University of Chemical TechnologyBeijing100029China

We study the global existence and uniqueness of a strong solution to the kinetic thermomechanical Cucker-Smale(for short,TCS) model coupled with Stokes equations in the whole *** coupled system consists of the kinetic TCS equation for a particle ensemble and the Stokes equations for a fluid via a drag *** this paper,we present a complete analysis of the existence of global-in-time strong solutions to the coupled model without any smallness restrictions on the initial data.

关键词： thermomechanical Cucker-Smale model Stokes equations strong solutions global existence

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THE NONLINEAR STABILITY OF PLANE PARALLEL SHEAR FLOWS WITH RESPECT TO TILTED PERTURBATIONS

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Acta Mathematica Scientia 2024年第3期44卷 1036-1045页

作者：许兰喜关芳芳 college of {1. and physics Beijing University of Chemical TechnologyBeijing100029China

The nonlinear stability of plane parallel shear flows with respect to tilted perturbations is studied by energy *** perturbation refers to the fact that perturbations form an angleθ∈(0,π/2)with the direction of the basic *** defining an energy functional,it is proven that plane parallel shear flows are unconditionally nonlinearly exponentially stable for tilted streamwise perturbation when the Reynolds number is below a certain critical value and the boundary conditions are either rigid or *** the case of stress-free boundaries,by taking advantage of the poloidal-toroidal decomposition of a solenoidal field to define energy functionals,it can be even shown that plane parallel shear flows are unconditionally nonlinearly exponentially stable for all Reynolds numbers,where the tilted perturbation can be either spanwise or streamwise.

关键词： plane parallel shear flows energy method energy functional nonlinear stability Reynolds number

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A wealth distribution model with a non-Maxwellian collision kernel

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Chinese physics B 2024年第7期33卷 224-231页

作者：孟俊周霞赖绍永 college of {1. and Statistics Kashi UniversityKashi 844006China college of {1. and physics Mianyang Teacher's CollegeMianyang 621000China School of mathematics Southwestern University of Finance and EconomicsChengdu 611130China

A non-Maxwellian collision kernel is employed to study the evolution of wealth distribution in a multi-agent *** collision kernel divides agents into two different groups under certain conditions. Applying the kinetic theory of rarefied gases, we construct a two-group kinetic model for the evolution of wealth distribution. Under the continuous trading limit, the Fokker–Planck equation is derived and its steady-state solution is obtained. For the non-Maxwellian collision kernel, we find a suitable redistribution operator to match the taxation. Our results illustrate that taxation and redistribution have the property to change the Pareto index.

关键词： kinetic theory non-Maxwellian collision kernel wealth distribution Pareto index

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Stability of the Phase Separation State for Compressible Navier-Stokes/Allen-Cahn System

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Acta Mathematicae Applicatae Sinica 2024年第1期40卷 45-74页

作者： Ya-zhou Chen Hakho Hong Xiao-ding Shi Department of mathematics College of Mathematics and PhysicsBeijing University of Chemical TechnologyBeijing100029China Institute of mathematics State Academy of SciencesPyongyangKorea

This paper is concerned with the large time behavior of the Cauchy problem for Navier-Stokes/AllenCahn system describing the interface motion of immiscible two-phase flow in 3-D. The existence and uniqueness of global solutions and the stability of the phase separation state are proved under the small initial perturbations. Moreover, the optimal time decay rates are obtained for higher-order spatial derivatives of density,velocity and phase. Our results imply that if the immiscible two-phase flow is initially located near the phase separation state, then under small perturbation conditions, the solution exists globally and decays algebraically to the complete separation state of the two-phase flow, that is, there will be no interface fracture, vacuum, shock wave, mass concentration at any time, and the interface thickness tends to zero as the time t → +∞.

关键词： Navier-Stokes/Allen-Cahn system existence uniqueness large time behavior decay rate

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STABILITY OF THE RAREFACTION WAVE IN THE SINGULAR LIMIT OF A SHARP INTERFACE PROBLEM FOR THE COMPRESSIBLE NAVIER-STOKES/ALLEN-CAHN SYSTEM

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Acta Mathematica Scientia 2024年第4期44卷 1507-1523页

作者： Yunkun CHEN Bin HUANG Xiaoding SHI School of mathematics and Computer Science Anshun UniversityAnshun 561000China college of {1. and physics Beijing University of Chemical TechnologyBeijing 100029China

This paper is concerned with the global well-posedness of the solution to the compressible Navier-Stokes/Allen-Cahn system and its sharp interface limit in one-dimensional *** the perturbations with small energy but possibly large oscillations of rarefaction wave solutions near phase separation,and where the strength of the initial phase field could be arbitrarily large,we prove that the solution of the Cauchy problem exists for all time,and converges to the centered rarefaction wave solution of the corresponding standard two-phase Euler equation as the viscosity and the thickness of the interface tend to *** proof is mainly based on a scaling argument and a basic energy method.

关键词： compressible Navier-Stokes equations Allen-Cahn equation rarefaction wave sharp interface limit stability

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2-local unstable homotopy groups of indecomposable A3～2-complexes

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Science China mathematics 2024年第3期67卷 607-626页

作者： Zhongjian Zhu Jianzhong Pan college of {1. and physics Wenzhou University Hua Loo-Keng Key Laboratory of mathematics Institute of MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of Sciences School of Mathematical Sciences University of Chinese Academy of Sciences

In this paper,we calculate the 2-local unstable homotopy groups of indecomposable A3～*** main technique used is analysing the homotopy property of J（A,X）,defined by Gray（1.73） for a CW-pair（X,A）,which is homoto... 详细信息

关键词： homotopy groups A 2 n -complexes fibration sequence relative James construction 55P1.

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CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET

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Acta Mathematica Scientia 2024年第1期44卷 234-246页

作者：王晓慧 college of {1. and physics and Geomathematics Key Laboratory of Sichuan ProvinceChengdu University of TechnologyChengdu610059China

This paper is devoted to the study of the shape of the free boundary for a threedimensional axisymmetric incompressible impinging *** be more precise,we will show that the free boundary is convex to the fluid,provided... 详细信息

关键词： Euler system axisymmetric impinging jet incompressible free boundary convexity

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