Finite time blow up of the solutions to Boussinesq equation with linear restoring force and combined power nonlinearities is studied. Sufficient conditions on the initial data for nonexistence of global solutions are ...Finite time blow up of the solutions to Boussinesq equation with linear restoring force and combined power nonlinearities is studied. Sufficient conditions on the initial data for nonexistence of global solutions are derived. The results are valid for initial data with arbitrary high positive energy. The proofs are based on the concave method and new sign preserving functionals.展开更多
Using Lindblad approach to study decoherence of quantum systems, we study the decoherence and decay of entangled states, formed by two basic states of a chain of thee qubits. We look on these states for a possible reg...Using Lindblad approach to study decoherence of quantum systems, we study the decoherence and decay of entangled states, formed by two basic states of a chain of thee qubits. We look on these states for a possible regular dependence on their decay as a function of their energy separation between the basic states under different types of environments. We didn’t find regular or significant dependence on this energy separation for the type of environment considered.展开更多
The prior estimate and decay property of positive solutions are derived for a system of quasi- linear elliptic differential equations first. Hence, the result of non-existence for differential equation system of radia...The prior estimate and decay property of positive solutions are derived for a system of quasi- linear elliptic differential equations first. Hence, the result of non-existence for differential equation system of radially nonincreasing positive solutions is implied. By using this nonexistence result, blowup estimates for a class quasi-linear reaction-diffusion systems ( non-Newtonian filtration systems) are established, which extends the result of semi-linear reaction diffusion( Fujita type) systems.展开更多
Ramie cloth/UP resin composite was formed at 0.2 MPa and cured at room temperature for 24 h and treated at 80℃for 2 h. The physical and mechanical properties of the composites with different volume fractions of ramie...Ramie cloth/UP resin composite was formed at 0.2 MPa and cured at room temperature for 24 h and treated at 80℃for 2 h. The physical and mechanical properties of the composites with different volume fractions of ramie cloth were studied. The results show that, with the increase of the volume fraction of the ramie cloth, densities of the composites become greater and greater, though all lower than the theoretical values, the linear shrinkage during the formation decreases from 1.20% of the original UP resin to 0.18% of the composite with 30% of ramie cloth in volume, all the composites also absorb more water than UP resin casting, greater volume fraction of the fiber, more water will be absorbed, but the increase in water absorption becomes smaller and smaller with time. As regards some mechanical properties, the tensile strength, flexural strength, flexural modulus and impact strength are all improved when more ramie fiber is added. Compared with those of pure UP resin casting, the mechanical properties are increased by 93.93%, 76.20%, 190.18% and 227.26% respectively when the volume fraction of the ramie cloth in the composite is 30%. The differential scanning calorimetry results show that only one peak will appear for the sample without or with less ramie fiber while two peaks will appear when more ramie cloth is added.展开更多
智能配电网的发展提升电网的自愈能力和恢复速度,然而,当系统遭遇大范围停电事故时,其恢复过程颇为复杂。因此,针对受损配电网供电中断问题,提出一种计及冷负荷效应的受损配电网两阶段恢复策略,用以生成含开关控制动作的配电网供电恢复...智能配电网的发展提升电网的自愈能力和恢复速度,然而,当系统遭遇大范围停电事故时,其恢复过程颇为复杂。因此,针对受损配电网供电中断问题,提出一种计及冷负荷效应的受损配电网两阶段恢复策略,用以生成含开关控制动作的配电网供电恢复策略。先生成支持馈线重配的传统恢复和分布式电源辅助的孤岛供电恢复计划。然后,生成最优开关切换操作序列,将其转化为混合整数线性规划(mix integer linear programming,MILP)问题,使受损配电网快速恢复到最终配置。最后,使用多馈线1069节点电力系统中模拟单线与多线故障时的配电网恢复策略。研究结果表明,所提策略能有效生成开关切换动作序列,合理利用所有资源快速恢复配电网,提高受损配电网的恢复速度与容量。展开更多
基金partially supported by Grant No.DFNI I-02/9 of the Bulgarian Science Fund
文摘Finite time blow up of the solutions to Boussinesq equation with linear restoring force and combined power nonlinearities is studied. Sufficient conditions on the initial data for nonexistence of global solutions are derived. The results are valid for initial data with arbitrary high positive energy. The proofs are based on the concave method and new sign preserving functionals.
文摘Using Lindblad approach to study decoherence of quantum systems, we study the decoherence and decay of entangled states, formed by two basic states of a chain of thee qubits. We look on these states for a possible regular dependence on their decay as a function of their energy separation between the basic states under different types of environments. We didn’t find regular or significant dependence on this energy separation for the type of environment considered.
文摘The prior estimate and decay property of positive solutions are derived for a system of quasi- linear elliptic differential equations first. Hence, the result of non-existence for differential equation system of radially nonincreasing positive solutions is implied. By using this nonexistence result, blowup estimates for a class quasi-linear reaction-diffusion systems ( non-Newtonian filtration systems) are established, which extends the result of semi-linear reaction diffusion( Fujita type) systems.
基金Project(G2002-21) supported by the Funds for Importing High Grade and Overseas Personnels of Nanjing Forestry University
文摘Ramie cloth/UP resin composite was formed at 0.2 MPa and cured at room temperature for 24 h and treated at 80℃for 2 h. The physical and mechanical properties of the composites with different volume fractions of ramie cloth were studied. The results show that, with the increase of the volume fraction of the ramie cloth, densities of the composites become greater and greater, though all lower than the theoretical values, the linear shrinkage during the formation decreases from 1.20% of the original UP resin to 0.18% of the composite with 30% of ramie cloth in volume, all the composites also absorb more water than UP resin casting, greater volume fraction of the fiber, more water will be absorbed, but the increase in water absorption becomes smaller and smaller with time. As regards some mechanical properties, the tensile strength, flexural strength, flexural modulus and impact strength are all improved when more ramie fiber is added. Compared with those of pure UP resin casting, the mechanical properties are increased by 93.93%, 76.20%, 190.18% and 227.26% respectively when the volume fraction of the ramie cloth in the composite is 30%. The differential scanning calorimetry results show that only one peak will appear for the sample without or with less ramie fiber while two peaks will appear when more ramie cloth is added.
文摘智能配电网的发展提升电网的自愈能力和恢复速度,然而,当系统遭遇大范围停电事故时,其恢复过程颇为复杂。因此,针对受损配电网供电中断问题,提出一种计及冷负荷效应的受损配电网两阶段恢复策略,用以生成含开关控制动作的配电网供电恢复策略。先生成支持馈线重配的传统恢复和分布式电源辅助的孤岛供电恢复计划。然后,生成最优开关切换操作序列,将其转化为混合整数线性规划(mix integer linear programming,MILP)问题,使受损配电网快速恢复到最终配置。最后,使用多馈线1069节点电力系统中模拟单线与多线故障时的配电网恢复策略。研究结果表明,所提策略能有效生成开关切换动作序列,合理利用所有资源快速恢复配电网,提高受损配电网的恢复速度与容量。
