In this paper,the wave equation defined in a semi-infinite cylinder is considered,in which the nonlinear damping and source terms is included.By setting an arbitrary parameter greater than zero in the energy expressio...In this paper,the wave equation defined in a semi-infinite cylinder is considered,in which the nonlinear damping and source terms is included.By setting an arbitrary parameter greater than zero in the energy expression,the fast growth rate or decay rate of the solution with spatial variables is obtained by using energy analysis method and differential inequality technique.Secondly,we obtain the asymptotic behavior of the solution on the external domain of the sphere.In addition,in this paper we also give some useful remarks which show that our results can be extended to more models.展开更多
We report on cavity swelling at peak damage regions of three ferritic-martensitic(FM)steels(NHS,RAFM and T91)irradiated by 196 MeV Kr ions at different temperatures(450/550℃).Cavity configurations of the irradiated s...We report on cavity swelling at peak damage regions of three ferritic-martensitic(FM)steels(NHS,RAFM and T91)irradiated by 196 MeV Kr ions at different temperatures(450/550℃).Cavity configurations of the irradiated specimens are investigated by transmission electron microscopy with cross-section technique.For home-made reduced activation ferritic-martensitic(RAFM)and T91 steels irradiated at 450℃,both large size and bimodal size distribution of the cavity are found in their peak damage regions,whereas novel high silicon(NHS)steel exhibits good swelling resistance at different irradiation temperatures.Temperature relativity of the cavity swelling in NHS,RAFM and T91 steels is discussed briefly.展开更多
The effects of 100 keV H-ion implantation on the structure of LiTaO3 crystal are investigated by Raman and UV/VIS/NIR spectroscopies.The implantation fluence is in the range from 1.0 × 10^(13) to 1.0 × 10^(1...The effects of 100 keV H-ion implantation on the structure of LiTaO3 crystal are investigated by Raman and UV/VIS/NIR spectroscopies.The implantation fluence is in the range from 1.0 × 10^(13) to 1.0 × 10^(17) H^(+)/cm^(2).The experimental results show the dependence of the crystal structure on ion fluence.It is found that the structural modification of the LiTaO3 crystal is due to two processes.One is H-ions occupying lithium vacancies (VLi),which is predominant at a fluence less than 1.0 × 10^(14) H^(+) /cm^(2).This process causes the reduction of negative charge centers in the crystal and relaxation of distortion in the local lattice structure.The other is the influence of defects created during implantation,which plays a dominant role gradually in the structural modification at a fluence larger than 1.0 × 10^(15) H^(+)/cm^(2).展开更多
This paper investigates the spatial behavior of the solutions of the Stokes equations in a semi-infinite cylinder.We consider four kinds of semi-infinite cylinders with boundary conditions of Dirichlet type.For each t...This paper investigates the spatial behavior of the solutions of the Stokes equations in a semi-infinite cylinder.We consider four kinds of semi-infinite cylinders with boundary conditions of Dirichlet type.For each type of cylinder we obtain the spatial decay estimates for the solutions.To make the attenuation meaningful,we derive the explicit bound for the total energy in terms of the initial boundary data.展开更多
Evolutions of defects and helium contained defects produced by atomic displacement and helium deposition with helium implantation at different temperatures in novel high silicon （NHS） steel are investigated by a slo...Evolutions of defects and helium contained defects produced by atomic displacement and helium deposition with helium implantation at different temperatures in novel high silicon （NHS） steel are investigated by a slow positron beam. Differences of the defect information among samples implanted by helium to a fluence of 1×1017 ions/cm2 at room temperature, 300°C, 450°C and 750°C are discussed. It is found that the mobility of vacancies and vacancy clusters, a recombination of vacancy-type defects and the formation of the He-V complex lead to the occurrence of these differences. At high temperature irradiations, a change of the diffusion mechanism of He atoms/He bubbles might be one of the reasons for the change of the S-parameter.展开更多
This paper investigates the spatial behavior of the solutions of the Forchheimer equations in a semi-infinite cylinder.Using the energy estimation method and the differential inequality technology,the differential ine...This paper investigates the spatial behavior of the solutions of the Forchheimer equations in a semi-infinite cylinder.Using the energy estimation method and the differential inequality technology,the differential inequality about the solution is derived.By solving this differential inequality,it is proved that the solutions grow polynomially or decay exponentially with spatial variables.展开更多
基金Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and Universities of Guangdong Province(Grant No.2020WCXTD008)Natural Sciences Key Projects of Universities in Guangdong Province(Grant No.2019KZDXM042)。
文摘In this paper,the wave equation defined in a semi-infinite cylinder is considered,in which the nonlinear damping and source terms is included.By setting an arbitrary parameter greater than zero in the energy expression,the fast growth rate or decay rate of the solution with spatial variables is obtained by using energy analysis method and differential inequality technique.Secondly,we obtain the asymptotic behavior of the solution on the external domain of the sphere.In addition,in this paper we also give some useful remarks which show that our results can be extended to more models.
基金Supported by the National Basic Research Program of China under Grant No 2010CB832902the National Natural Science Foundation of China under Grant Nos 91026002,91126011 and 11275005。
文摘We report on cavity swelling at peak damage regions of three ferritic-martensitic(FM)steels(NHS,RAFM and T91)irradiated by 196 MeV Kr ions at different temperatures(450/550℃).Cavity configurations of the irradiated specimens are investigated by transmission electron microscopy with cross-section technique.For home-made reduced activation ferritic-martensitic(RAFM)and T91 steels irradiated at 450℃,both large size and bimodal size distribution of the cavity are found in their peak damage regions,whereas novel high silicon(NHS)steel exhibits good swelling resistance at different irradiation temperatures.Temperature relativity of the cavity swelling in NHS,RAFM and T91 steels is discussed briefly.
基金Supported by the National Basic Research Program of China under Grant No 2010CB832902the National Natural Science Foundation of China(10835010)the Chinese Academy of Sciences.
文摘The effects of 100 keV H-ion implantation on the structure of LiTaO3 crystal are investigated by Raman and UV/VIS/NIR spectroscopies.The implantation fluence is in the range from 1.0 × 10^(13) to 1.0 × 10^(17) H^(+)/cm^(2).The experimental results show the dependence of the crystal structure on ion fluence.It is found that the structural modification of the LiTaO3 crystal is due to two processes.One is H-ions occupying lithium vacancies (VLi),which is predominant at a fluence less than 1.0 × 10^(14) H^(+) /cm^(2).This process causes the reduction of negative charge centers in the crystal and relaxation of distortion in the local lattice structure.The other is the influence of defects created during implantation,which plays a dominant role gradually in the structural modification at a fluence larger than 1.0 × 10^(15) H^(+)/cm^(2).
基金Supported by the Key Projects of Universities in Guangdong Province(NATURAL SCIENCE)(Grant No.2019KZDXM042)Research Team Project of Guangzhou Huashang College(Grant No.2021HSKT01).
文摘This paper investigates the spatial behavior of the solutions of the Stokes equations in a semi-infinite cylinder.We consider four kinds of semi-infinite cylinders with boundary conditions of Dirichlet type.For each type of cylinder we obtain the spatial decay estimates for the solutions.To make the attenuation meaningful,we derive the explicit bound for the total energy in terms of the initial boundary data.
基金Supported by the National Basic Research Program of China under Grant No 2010CB832902, and the National Natural Science Foundation of China under Grant Nos 91026002, 91126011 and 11275005.
文摘Evolutions of defects and helium contained defects produced by atomic displacement and helium deposition with helium implantation at different temperatures in novel high silicon （NHS） steel are investigated by a slow positron beam. Differences of the defect information among samples implanted by helium to a fluence of 1×1017 ions/cm2 at room temperature, 300°C, 450°C and 750°C are discussed. It is found that the mobility of vacancies and vacancy clusters, a recombination of vacancy-type defects and the formation of the He-V complex lead to the occurrence of these differences. At high temperature irradiations, a change of the diffusion mechanism of He atoms/He bubbles might be one of the reasons for the change of the S-parameter.
基金Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and Universities of Guangdong Province(Grant No.2020WCXTd008)Research Team Project of Guangzhou Huashang College(Grant No.2021HSKT01).
文摘This paper investigates the spatial behavior of the solutions of the Forchheimer equations in a semi-infinite cylinder.Using the energy estimation method and the differential inequality technology,the differential inequality about the solution is derived.By solving this differential inequality,it is proved that the solutions grow polynomially or decay exponentially with spatial variables.
