In this paper, we are concerned with the existence of nodal type bound state for the following stationary nonlinear Schrodinger equation -△u（x）＋V（x）u（x）=｜u｜^p-1 u,x∈R^N,N≥3,where 1 〈 p 〈 （N＋2）/（N-2）...In this paper, we are concerned with the existence of nodal type bound state for the following stationary nonlinear Schrodinger equation -△u（x）＋V（x）u（x）=｜u｜^p-1 u,x∈R^N,N≥3,where 1 〈 p 〈 （N＋2）/（N-2） and the potential V（x） is a positive radial function and may decay to zero at infinity. Under appropriate assumptions on the decay rate of V（x）, Souplet and Zhang [1] proved the above equation has a positive bound state. In this paper, we construct a nodal solution with precisely two nodal domains and prove that the above equation has a nodal type bound state under the same conditions on V（x） as in [1].展开更多
We study the existence and non-existence of bound states （i.e., solutions in W1,P（RN）） for a class of quasilinear scalar field equations of the for -△pu＋V（x）｜u｜p-2u=a（x）｜u｜q-2u,x∈RN,1〈P〈N,mwhen the po...We study the existence and non-existence of bound states （i.e., solutions in W1,P（RN）） for a class of quasilinear scalar field equations of the for -△pu＋V（x）｜u｜p-2u=a（x）｜u｜q-2u,x∈RN,1〈P〈N,mwhen the potentials V（.）≥ 0 and a（.） decay to zero at infinity.展开更多
The effect of MnO4- and silver content on electrochemical behaviour of five commercial Pb-Ag alloy anodes was studied in acid zinc sulphate electrolyte with and without MnO4- ions at 38 °C during potential decay ...The effect of MnO4- and silver content on electrochemical behaviour of five commercial Pb-Ag alloy anodes was studied in acid zinc sulphate electrolyte with and without MnO4- ions at 38 °C during potential decay periods. When the anodes were immersed into acid zinc sulphate electrolyte without MnO4- ions, the Pb-0.72%Ag anode entered complete passivation state in the shortest time among the five anodes, followed by anodes Pb-0.67%Ag, Pb-0.60%Ag, Pb-0.58%Ag and Pb-0.29%Ag-0.1%Ca by measurement of open circuit potential. During immersion of the anodes, MnO4 ions accelerated the passivation and increased the corrosion current density of the anodes. After immersion in zinc electrolyte with MnO4-, the anode Pb-0.72%Ag had the best corrosion resistance, followed by anodes Pb-0.67%Ag, Pb-0.60%Ag, then the close anodes Pb-0.58%Ag and Pb-0.29%Ag-0.1%Ca by the electrochemical impedance spectroscopy （EIS） analysis.展开更多
Surface potential decay of polymers for electrical insulation can help to determine the dark conductivity for spacecraft charging analysis. Due to the existence of radiation-induced conductivity, it decays fast in the...Surface potential decay of polymers for electrical insulation can help to determine the dark conductivity for spacecraft charging analysis. Due to the existence of radiation-induced conductivity, it decays fast in the first few hours after irradiation and exponentially slowly for the remaining time. The measurement of dark conductivity with this method usually takes the slow part and needs a couple of days. Integrating the Fowler formula into the deep dielectric charging equations, we obtain a new expression for the fast decay part. The experimental data of different materials, dose rates and temperatures are fitted by the new expression. Both the dark conductivity and the radiation-induced conductivity are derived and compared with other methods. The result shows a good estimation of dark conductivity and radiation-induced conductivity in high-resistivity polymers, which enables a fast measurement of dielectric conductivity within about 600 rain after irradiation.展开更多
The effect of barrier material on AC breakdown voltages of a hybrid gas-solid insulation is investigated by examining the behavior of electrostatic potential on barrier surfaces.Breakdown characteristics of air-insula...The effect of barrier material on AC breakdown voltages of a hybrid gas-solid insulation is investigated by examining the behavior of electrostatic potential on barrier surfaces.Breakdown characteristics of air-insulated gaps with barriers made of three different polymeric materials are experimentally investigated.Further,measurements of surface potential on the barriers are performed and the results are utilized to obtain surface charge dynamic characteristics for the three polymeric materials and extract their electric conductivities,charge carrier mobilities,and trap energy distributions.It is found that the material with the lowest initial surface potential and fastest decay rate exhibits the highest bulk conductivity and carriers'mobility,as well as the lowest trap energy level.These properties provide the highest increase in AC breakdown voltages compared with pure air.It is concluded that materials where the accumulation of charges in the bulk is inhibited and decay of surface charges is facilitated,allow for higher operating voltages of AC hybrid gas-solid insulation systems.The mechanism of the effect of barrier material on AC breakdown voltage is discussed.展开更多
文摘In this paper, we are concerned with the existence of nodal type bound state for the following stationary nonlinear Schrodinger equation -△u（x）＋V（x）u（x）=｜u｜^p-1 u,x∈R^N,N≥3,where 1 〈 p 〈 （N＋2）/（N-2） and the potential V（x） is a positive radial function and may decay to zero at infinity. Under appropriate assumptions on the decay rate of V（x）, Souplet and Zhang [1] proved the above equation has a positive bound state. In this paper, we construct a nodal solution with precisely two nodal domains and prove that the above equation has a nodal type bound state under the same conditions on V（x） as in [1].
文摘We study the existence and non-existence of bound states （i.e., solutions in W1,P（RN）） for a class of quasilinear scalar field equations of the for -△pu＋V（x）｜u｜p-2u=a（x）｜u｜q-2u,x∈RN,1〈P〈N,mwhen the potentials V（.）≥ 0 and a（.） decay to zero at infinity.
基金Project(RDCPJ346365-06)supported by the Natural Sciences and Engineering Research Council of CanadaProject(51208193)supported by the National Natural Science Foundation of ChinaProject(11jj6034)supported by the Hunan Provincial Natural Science Foundation
文摘The effect of MnO4- and silver content on electrochemical behaviour of five commercial Pb-Ag alloy anodes was studied in acid zinc sulphate electrolyte with and without MnO4- ions at 38 °C during potential decay periods. When the anodes were immersed into acid zinc sulphate electrolyte without MnO4- ions, the Pb-0.72%Ag anode entered complete passivation state in the shortest time among the five anodes, followed by anodes Pb-0.67%Ag, Pb-0.60%Ag, Pb-0.58%Ag and Pb-0.29%Ag-0.1%Ca by measurement of open circuit potential. During immersion of the anodes, MnO4 ions accelerated the passivation and increased the corrosion current density of the anodes. After immersion in zinc electrolyte with MnO4-, the anode Pb-0.72%Ag had the best corrosion resistance, followed by anodes Pb-0.67%Ag, Pb-0.60%Ag, then the close anodes Pb-0.58%Ag and Pb-0.29%Ag-0.1%Ca by the electrochemical impedance spectroscopy （EIS） analysis.
基金Supported by the Fundamental Research Funds for the Central Universities in Nanjing University of Aeronautics and Astronautics under Grant No NS2014089
文摘Surface potential decay of polymers for electrical insulation can help to determine the dark conductivity for spacecraft charging analysis. Due to the existence of radiation-induced conductivity, it decays fast in the first few hours after irradiation and exponentially slowly for the remaining time. The measurement of dark conductivity with this method usually takes the slow part and needs a couple of days. Integrating the Fowler formula into the deep dielectric charging equations, we obtain a new expression for the fast decay part. The experimental data of different materials, dose rates and temperatures are fitted by the new expression. Both the dark conductivity and the radiation-induced conductivity are derived and compared with other methods. The result shows a good estimation of dark conductivity and radiation-induced conductivity in high-resistivity polymers, which enables a fast measurement of dielectric conductivity within about 600 rain after irradiation.
基金supported by the National Natural Science Foundation of China(51607041)China State Key Lab of Power Systems(SKLD19KM06)。
文摘The effect of barrier material on AC breakdown voltages of a hybrid gas-solid insulation is investigated by examining the behavior of electrostatic potential on barrier surfaces.Breakdown characteristics of air-insulated gaps with barriers made of three different polymeric materials are experimentally investigated.Further,measurements of surface potential on the barriers are performed and the results are utilized to obtain surface charge dynamic characteristics for the three polymeric materials and extract their electric conductivities,charge carrier mobilities,and trap energy distributions.It is found that the material with the lowest initial surface potential and fastest decay rate exhibits the highest bulk conductivity and carriers'mobility,as well as the lowest trap energy level.These properties provide the highest increase in AC breakdown voltages compared with pure air.It is concluded that materials where the accumulation of charges in the bulk is inhibited and decay of surface charges is facilitated,allow for higher operating voltages of AC hybrid gas-solid insulation systems.The mechanism of the effect of barrier material on AC breakdown voltage is discussed.
