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弹性方柱中波的传播规律 Ⅳ.边界条件的作用
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作者 魏建萍 《北京大学学报(自然科学版)》 EI CAS CSCD 北大核心 2009年第5期743-747,共5页
材料的物理属性、结构的空间表现和系统的边界状态是波导系统的3个组成要素。讨论了弹性波导系统的边界状态在整个系统的作用。发现边界条件的集合是与实数集等势的集合;边界条件方程与控制方程共同构成Hilbert函数空间中的线性微分表达... 材料的物理属性、结构的空间表现和系统的边界状态是波导系统的3个组成要素。讨论了弹性波导系统的边界状态在整个系统的作用。发现边界条件的集合是与实数集等势的集合;边界条件方程与控制方程共同构成Hilbert函数空间中的线性微分表达式,并且其具备的线性性质使得结构经过仿射变换后,频谱之间具有仿射变换的规律。这些优异性质使得求解出仿射结构集合中某一结构的频谱,就能够完全得到该集合中所有结构的频谱和稳态响应。 展开更多
关键词 边界条件集合 Hilbert函数空间 线性微分表达式 仿射变换 仿射结构
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Numerical simulation of an extreme haze pollution event over the North China Plain based on initial and boundary condition ensembles 被引量:3
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作者 LI Xiaobin LIU Hongbo +1 位作者 ZHANG Ziyin LIU Juanjuan 《Atmospheric and Oceanic Science Letters》 CSCD 2019年第6期434-443,共10页
The North China Plain often su ers heavy haze pollution events in the cold season due to the rapid industrial development and urbanization in recent decades.In the winter of 2015,the megacity cluster of Beijing Tianji... The North China Plain often su ers heavy haze pollution events in the cold season due to the rapid industrial development and urbanization in recent decades.In the winter of 2015,the megacity cluster of Beijing Tianjin Hebei experienced a seven-day extreme haze pollution episode with peak PM2.5(particulate matter(PM)with an aerodynamic diameter≤2.5μm)concentration of 727μg m 3.Considering the in uence of meteorological conditions on pollu-tant evolution,the e ects of varying initial conditions and lateral boundary conditions(LBCs)of the WRF-Chem model on PM2.5 concentration variation were investigated through ensemble methods.A control run(CTRL)and three groups of ensemble experiments(INDE,BDDE,INBDDE)were carried out based on difierent initial conditions and LBCs derived from ERA5 reanalysis data and its 10 ensemble members.The CTRL run reproduced the meteorological conditions and the overall life cycle of the haze event reasonably well,but failed to capture the intense oscillation of the instantaneous PM2.5 concentration.However,the ensemble forecasting showed a considerable advantage to some extent.Compared with the CTRL run,the root-mean-square error(RMSE)of PM2.5 concentration decreased by 4.33%,6.91%,and 8.44%in INDE,BDDE and INBDDE,respectively,and the RMSE decreases of wind direction(5.19%,8.89%and 9.61%)were the dominant reason for the improvement of PM2.5 concentration in the three ensemble experiments.Based on this case,the ensemble scheme seems an e ective method to improve the prediction skill of wind direction and PM2.5 concentration by using the WRF-Chem model. 展开更多
关键词 Haze pollution PM 2.5 WRF Chem initial and lateral boundary conditions ensemble forecasting
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SOME REMARKS ABOUT THE R-BOUNDEDNESS 被引量:2
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作者 BUSHANGQUAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第3期421-432,共12页
Let X,Y be UMD-spaces that have property (α), 1< p< ∞ and let M be anR-bounded subset in L(X, Y). It is shown that {T(M_k)_(k∈z): M_k, k(M_(k+l)-M_k) ∈M for k∈Z} is an R-bounded subset of L(L^p (0,2π; X), ... Let X,Y be UMD-spaces that have property (α), 1< p< ∞ and let M be anR-bounded subset in L(X, Y). It is shown that {T(M_k)_(k∈z): M_k, k(M_(k+l)-M_k) ∈M for k∈Z} is an R-bounded subset of L(L^p (0,2π; X), L^p(0,2π; Y)), where T(M_m)_(k∈zdenotes the L^p-multiplier given by the sequence (M_k)_(k∈z), This generalizes a resultof Venni [10]. The author uses this result to study the strongly L^p-well-posedness ofevolution equations with periodic boundary condition. Analogous results for operator-valued L^p-multipliers on R are also given. 展开更多
关键词 Operator-valued Fourier multiplier Maximal regularity Rademacher boundedness
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