In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with ...In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with prescribed 2-norm has some normalized solutions by introducing variational methods.展开更多
In the finite element method,the numerical simulation of three-dimensional crack propagation is relatively rare,and it is often realized by commercial programs.In addition to the geometric complexity,the determination...In the finite element method,the numerical simulation of three-dimensional crack propagation is relatively rare,and it is often realized by commercial programs.In addition to the geometric complexity,the determination of the cracking direction constitutes a great challenge.In most cases,the local stress state provides the fundamental criterion to judge the presence of cracks and the direction of crack propagation.However,in the case of three-dimensional analysis,the coordination relationship between grid elements due to occurrence of cracks becomes a difficult problem for this method.In this paper,based on the extended finite element method,the stress-related function field is introduced into the calculation domain,and then the boundary value problem of the function is solved.Subsequently,the envelope surface of all propagation directions can be obtained at one time.At last,the possible surface can be selected as the direction of crack development.Based on the aforementioned procedure,such method greatly reduces the programming complexity of tracking the crack propagation.As a suitable method for simulating tension-induced failure,it can simulate multiple cracks simultaneously.展开更多
The method in which a source is set on the surface and electric potential is received in the borehole is called surface-borehole electric potential technique. Technique of surface-borehole electric potential was emplo...The method in which a source is set on the surface and electric potential is received in the borehole is called surface-borehole electric potential technique. Technique of surface-borehole electric potential was employed to study electric response of layered formation. The electric potential was obtained by solving Poisson equation with finite difference method. In the course of calculation, forward modeling wilth finite difference method was realized by adopting bandwidth non-zero storage technique and the incomplete Cholesky conjugate gradient method. The results show that method of surface-borehole can acquire anomalous electric potential corresponding tc geo-electric layers. In addition, application of appropriate mathematical operator can improve the resolution. Moreover, overburden low resistivity layers have severe influence on measuring results of surface-borehole electric potential. However, bottom low resistivity layers play a positive role in the measurement.展开更多
The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms in condition of the Debye shielding potential are achieved by means of the Rayleigh Schrdinger perturbat...The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms in condition of the Debye shielding potential are achieved by means of the Rayleigh Schrdinger perturbation theory and the power series;meanwhile,the corresponding recurrence relations are got with the use of the solution of power series.Basic on mentioned above and with the use of energy consistent method,the equivalent value of second-order revision in condition of the Debye shielding potential as well be got and the result is compared with the data obtained by the numerical method.Beside,the critical bond-state and corresponding cut off of conditions are discussed.展开更多
氢电混动汽车(fuel-cell hybrid electric vehicles,FCHEV)的出现有效促进了能源-交通系统的绿色低碳转型。现阶段关于FCHEV的研究主要集中在能量管理和控制策略上,较少关注灵活性潜力评估方面,为此,提出了一种计及车主充能意愿差异性的...氢电混动汽车(fuel-cell hybrid electric vehicles,FCHEV)的出现有效促进了能源-交通系统的绿色低碳转型。现阶段关于FCHEV的研究主要集中在能量管理和控制策略上,较少关注灵活性潜力评估方面,为此,提出了一种计及车主充能意愿差异性的FCHEV集群灵活性潜力评估方法。首先,建立城市交通路网模型模拟FCHEV的出行特征,进而建立单体FCHEV充能模型;其次,利用改进层次分析法并结合熵权法建立车主充能意愿综合评价体系,并综合考虑禀赋效应和环保意识对车主响应意愿度的影响;最后,建立FCHEV集群灵活性潜力评估模型,求解得出潜力评估结果。仿真结果表明,所提方法在评估过程中能够合理刻画车主充能意愿的差异性,并有效提高集群参与优化调度时系统的灵活性。展开更多
针对实际档案库房操作空间的动态约束性,常见的运动规划算法难以满足快速在线规划的问题,分别从规划速度和动态空间在线规划两个方向进行研究.首先,提出一种新型快速搜索随机树法(rapidly-exploring random trees,RRT),基于剪枝和路径...针对实际档案库房操作空间的动态约束性,常见的运动规划算法难以满足快速在线规划的问题,分别从规划速度和动态空间在线规划两个方向进行研究.首先,提出一种新型快速搜索随机树法(rapidly-exploring random trees,RRT),基于剪枝和路径细化策略能够大幅减少无用节点计算和冗余路径运动.其次,将人工势场法与RRT算法相结合,新节点拓展时会受到期望为当前势场合力的高斯分布的影响,在满足对动态障碍物的在线运动规划的同时提高了算法的拓展能力.最后,通过仿真结果证明,新型RRT算法在拓展效率上的高效性和混合运动规划算法在动态规划和探索效率上的优越性.展开更多
基金Supported by the National Natural Science Foundation of China(11671403,11671236,12101192)Henan Provincial General Natural Science Foundation Project(232300420113)。
文摘In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with prescribed 2-norm has some normalized solutions by introducing variational methods.
基金Project(2017YFC0404802)supported by the National Key R&D Program of ChinaProjects(U1965206,51979143)supported by the National Natural Science Foundation of China。
文摘In the finite element method,the numerical simulation of three-dimensional crack propagation is relatively rare,and it is often realized by commercial programs.In addition to the geometric complexity,the determination of the cracking direction constitutes a great challenge.In most cases,the local stress state provides the fundamental criterion to judge the presence of cracks and the direction of crack propagation.However,in the case of three-dimensional analysis,the coordination relationship between grid elements due to occurrence of cracks becomes a difficult problem for this method.In this paper,based on the extended finite element method,the stress-related function field is introduced into the calculation domain,and then the boundary value problem of the function is solved.Subsequently,the envelope surface of all propagation directions can be obtained at one time.At last,the possible surface can be selected as the direction of crack development.Based on the aforementioned procedure,such method greatly reduces the programming complexity of tracking the crack propagation.As a suitable method for simulating tension-induced failure,it can simulate multiple cracks simultaneously.
基金Project supported by Global Center of Excellence in Novel Carbon Resource Sciences,Kyushu University,Japan
文摘The method in which a source is set on the surface and electric potential is received in the borehole is called surface-borehole electric potential technique. Technique of surface-borehole electric potential was employed to study electric response of layered formation. The electric potential was obtained by solving Poisson equation with finite difference method. In the course of calculation, forward modeling wilth finite difference method was realized by adopting bandwidth non-zero storage technique and the incomplete Cholesky conjugate gradient method. The results show that method of surface-borehole can acquire anomalous electric potential corresponding tc geo-electric layers. In addition, application of appropriate mathematical operator can improve the resolution. Moreover, overburden low resistivity layers have severe influence on measuring results of surface-borehole electric potential. However, bottom low resistivity layers play a positive role in the measurement.
文摘The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms in condition of the Debye shielding potential are achieved by means of the Rayleigh Schrdinger perturbation theory and the power series;meanwhile,the corresponding recurrence relations are got with the use of the solution of power series.Basic on mentioned above and with the use of energy consistent method,the equivalent value of second-order revision in condition of the Debye shielding potential as well be got and the result is compared with the data obtained by the numerical method.Beside,the critical bond-state and corresponding cut off of conditions are discussed.
文摘氢电混动汽车(fuel-cell hybrid electric vehicles,FCHEV)的出现有效促进了能源-交通系统的绿色低碳转型。现阶段关于FCHEV的研究主要集中在能量管理和控制策略上,较少关注灵活性潜力评估方面,为此,提出了一种计及车主充能意愿差异性的FCHEV集群灵活性潜力评估方法。首先,建立城市交通路网模型模拟FCHEV的出行特征,进而建立单体FCHEV充能模型;其次,利用改进层次分析法并结合熵权法建立车主充能意愿综合评价体系,并综合考虑禀赋效应和环保意识对车主响应意愿度的影响;最后,建立FCHEV集群灵活性潜力评估模型,求解得出潜力评估结果。仿真结果表明,所提方法在评估过程中能够合理刻画车主充能意愿的差异性,并有效提高集群参与优化调度时系统的灵活性。
文摘针对实际档案库房操作空间的动态约束性,常见的运动规划算法难以满足快速在线规划的问题,分别从规划速度和动态空间在线规划两个方向进行研究.首先,提出一种新型快速搜索随机树法(rapidly-exploring random trees,RRT),基于剪枝和路径细化策略能够大幅减少无用节点计算和冗余路径运动.其次,将人工势场法与RRT算法相结合,新节点拓展时会受到期望为当前势场合力的高斯分布的影响,在满足对动态障碍物的在线运动规划的同时提高了算法的拓展能力.最后,通过仿真结果证明,新型RRT算法在拓展效率上的高效性和混合运动规划算法在动态规划和探索效率上的优越性.
