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The Existence of Semiclassical States for Some P-Laplacian Equation with Critical Exponent

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Acta Mathematicae Applicatae Sinica 2017年第2期33卷 417-434页

作者： Ji-xiu wang School of Mathematics and Computer Science Hubei University of Arts and Science Xiangyang 441053 China

In this paper, we study the existence of semiclassical states for some p-Laplacian equation. Under given conditions and minimax methods, we show that this problem has at least one positive solution provided that ε≤ε; for any m ∈ N, it has m pairs solutions if ε≤εm, where ε,εm are sufficiently small positive numbers. Moreover, these solutions axe closed to zero in W1,p（RN） as ε→0.

关键词： semiclassical states positive solutions critical exponent

Exogenous Nitric Oxide Involved in Subcellular Distribution and Chemical Forms of Cu^(2+) Under Copper Stress in Tomato Seedlings

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Journal of Integrative Agriculture 2013年第10期12卷 1783-1790页

作者： DONG Yu-xiu wang xiu-feng CUI xiu-min Key Laboratory of Crop Biology Shandong Agricultural University College of Resources and Environment Shandong Agricultural University

Nitric oxide（NO）,a bioactive signaling molecule,serves as an antioxidant and anti-stress agent under abiotic stress.A hydroponics experiment was conducted to investigate the effects of sodium nitroprusside（SNP）,a NO donor,on tomato seedlings exposed to 50 μmol L-1CuCl *** results show that copper is primarily stored in the soluble cell sap fraction in the roots,especially after treatment with Cu＋SNP treatment,which accounted for 66.2% of the total copper *** copper concentration gradually decreased from the roots to the *** the leaves,exogenous NO induces the storage of excess copper in the cell *** stress decreases the proportion of copper integrated with pectates and proteins,but exogenous NO remarkably reverses this *** alleviating effect of NO is blocked by ***,exogenous NO is likely involved in the regulation of the subcellular copper concentrations and its chemical forms under copper *** exogenous NO inhibited the absorption and transport of excess copper to some extent,the copper accumulation in tomato seedlings significantly increased under copper *** use of exogenous NO to enhance copper tolerance in some plants is a promising method for copper remediation.

关键词： tomato seedlings nitric oxide copper stress subcellular distribution chemical form

Lateral Global Buckling of Submarine Pipelines Based on the Model of Nonlinear Pipe–Soil Interaction

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China Ocean Engineering 2018年第3期32卷 312-322页

作者： LIU Run wang xiu-yan State Key Laboratory of Hydraulic Engineering Simulation and Safety Tianjin University

With the increasing development and utilization of offshore oil and gas resources, global buckling failures of pipelines subjected to high temperature and high pressure are becoming increasingly important. For unburied or semi-buried submarine pipelines, lateral global buckling represents the main form of global buckling. The pipe–soil interaction determines the deformation and stress distribution of buckling pipelines. In this paper, the nonlinear pipe–soil interaction model is introduced into the analysis of pipeline lateral global buckling, a coupling method of PSI elements and the modified RIKS algorithm is proposed to study the lateral global buckling of a pipeline, and the buckling characteristics of submarine pipeline with a single arch symmetric initial imperfection under different pipe–soil interaction models are studied. Research shows that, compared with the ideal elastic–plastic pipe–soil interaction model, when the DNV-RP-F109 model is adopted to simulate the lateral pipe–soil interactions in the lateral global buckling of a pipeline, the buckling amplitude increases, however, the critical buckling force and the initial buckling temperature difference decreases. In the DNV-RP-F109 pipe–soil interaction model, the maximum soil resistance, the residual soil resistance, and the displacement to reach the maximum soil resistance have significant effects on the analysis results of pipeline global buckling.

关键词： submarine pipeline lateral global buckling PSI element nonlinear pipe–soil interaction

On the Existence of Ground State Solutions to a Quasilinear Schr?dinger Equation involving p-Laplacian

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Acta Mathematicae Applicatae Sinica 2023年第2期39卷 381-395页

作者： Ji-xiu wang Qi GAO School of Mathematics and Statistics Hubei University of Arts and ScienceXiangyang 441053China Department of Mathematics School of ScienceWuhan University of TechnologyWuhan 430070China

We consider the following quasilinear Schrodinger equation involving p-Laplacian-Δpu+V(x)|u|^(p-2)u-Δp(|u|^(2η))|u|^(2η-2)u=λ|u|^(q-2)u/|x|^(μ)+|u|^(2ηp*(v)-2)u/|x|^(v)in R^(N),where N>p>1,η≥p/2(p-1),p0,μ,ν∈[0,p).Via the Mountain Pass Theorem and the Concentration Compactness Principle,we establish the existence of nontrivial ground state solutions for the above problem.

关键词： quasilinear Schrodinger equation critical Hardy-Sobolev exponent ground state solutions singularities

New deghosting method based on generalized triangulation

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Journal of Systems Engineering and Electronics 2009年第3期20卷 504-511页

作者： Bai Jing wang Guohong xiu Jianjuan wang Xiaobo Inst. of Information Fusion Naval Aeronautical and Astronautical Univ. Yantai 264001 P. R. China

A new deghosting method based on the generalized triangulation is presented. First, two intersection points corresponding to the emitter position are obtained by utilizing two azimuth angles and two elevation angles from two jammed 3-D radars （or 2-D passive sensors）. Then, hypothesis testing based deghosting method in the multiple target scenarios is proposed using the two intersection points. In order to analyze the performance of the proposed method, the correct association probability of the true targets and the incorrect association probability of the ghost targets are defined. Finally, the Monte Carlo simulations are given for the proposed method compared with the hinge angle method in the cases of both two and three radars. The simulation results show that the proposed method has better performance than the hinge angle method in three radars case.

关键词： deghosting generalized triangulation hinge angle distributed radar network hypothesis testing

Infinitely Many Solutions for Schrödinger–Choquard–Kirchhoff Equations Involving the Fractional p-Laplacian

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Acta Mathematica Sinica,English Series 2021年第2期37卷 315-332页

作者： Li wang Tao HAN Ji xiu wang College of Science East China Jiaotong UniversityNanchang 330013P.R.China School of Mathematics and Statistics Hubei University of Arts and ScienceXiangyang 441053P.R.China

In this article,we show the existence of infinitely many solutions for the fractional p-Laplacian equations of Schrödinger–Kirchhoff type equation M([u]_(s,p)^(p))(−Δ)_(p)^(s)u+V(x)|u|^(p−2)u=λ(Iα∗|u|^(p_(s,α)^(∗)))|u|^(p_(s,α)^(∗)−2)u+βk(x)|u|^(q−2)u,x∈R^(N),where(−Δ)s p is the fractional p-Laplacian operator,[u]s,p is the Gagliardo p-seminorm,0

关键词： Schrödinger–Choquard–Kirchhoff type fractional p-Laplacian variational methods critical Sobolev exponent

Study of heat transfer by using DEM–CFD method in a randomly packed pebble-bed reactor

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Nuclear Science and Techniques 2019年第2期30卷 123-134页

作者： Qiang Niu Na-xiu wang Shanghai Institute of Applied Physics Chinese Academy of Sciences CAS Innovative Academies in TMSR Energy System Chinese Academy of Sciences University of Chinese Academy of Sciences

The pebble-bed reactor is one of the most promising designs for the nuclear energy industry. In this paper,a discrete element method-computational fluid dynamics(DEM-CFD) approach that includes thermal conduction, radiation, and natural convection mechanisms was proposed to simulate the thermal-fluid phenomena after the failure of forced circulation cooling system in a pebble-bed core. The whole large-scale packed bed was created using the DEM technique, and the calculated radial porosity of the bed was validated with empirical correlations reported by researchers. To reduce computational costs, a segment of the bed was extracted, which served as a good representative of the large-scale packed bed for CFD calculation. The temperature distributions simulated with two different fluids in this DEM-CFD approach were in good agreement with SANA experimental data. The influence of the natural convection mechanism on heat transfer must be taken into account for coolants with strong convective capacity. The proposed DEM-CFD methodology offers a computationally efficient and widely applied method for understanding the heat transfer process in a pebble-bed core. The method can also be easily extended to assess the passive safety features of newly designed fluoride-salt-cooled pebble-bed reactors.

关键词： Discrete element method Computational fluid dynamics Pebble bed Heat transfer Natural convection

A Non-axisymmetric Spherical α~2-Dynamo

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Chinese Journal of Astronomy and Astrophysics 2006年第2期6卷 227-236页

作者： Jie Jiang Jing-xiu wang National Astronomical Observatories Chinese Academy of Sciences Beijing 100012

Using the Chebyshev-tau method, the generation of oscillatory nonaxisymmetric stellar magnetic fields by the α^2-dynamo is studied in spherical geometry. Following the boundary conditions given by Schubert ＆ Zhang, the spherical α^2-dynamo consists of a fully convective spherical shell with inner radius ri and outer radius ro. A comparison of the critical dynamo numbers of axisymmetric and φ-dependent modes for different thicknesses of the convective shell and different α- profiles leads to the following qualitative results：（i） when the angular factor of α- profile is sin^n θ cosθ （n= 1, 2, 4） the solutions of the α^2dynamo are oscillatory and non-axisymmetric, （ii） the thinner the convective shell, the more easily is the nonaxisymmetric mode excited and the higher is the latitudinal wave number, （iii） the thickness of the outer convective shell has an effect on the symmetries of the magnetic fields.

关键词： stars: magnetic fields - methods: numerical

Crisis of Transient Chaos

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Chinese Physics Letters 2002年第7期19卷 901-903页

作者： wang Wen-xiu, Lu Yun-Qing Department of Physics and Complexity Science Center Yangzhou University

A new kind of crisis, which is marked by a sudden change of a strange repeller, is observed in an electronic relaxation oscillator. Firstly, by its simplified piecewise linear model, we show analytically that a strange repeller appears after a hole-induced crisis, and that the fractal dimension of the strange repeller and the average lifetime of the iterations in the region occupied by the original attractor suddenly change at the critical parameter value when the repeller disappears. Our numerical investigation convinces us that the corresponding phenomenon can be found in the original electronic relaxation oscillator.

关键词： Fractal dimension