HYPERBOLIC

作品数:521被引量:498H指数:9
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相关领域:理学更多>>
相关作者:曾文平孙大洋刘炳日王爱民刘衍珩更多>>
相关机构:福州大学华侨大学吉林大学沈阳工业大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金福建省自然科学基金更多>>
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Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data In memory of Professor Geneviève Raugel被引量:2
《Science China Mathematics》2022年第6期1109-1146,共38页Marius Paicu Ping Zhang 
supported by K.C.Wong Education Foundation;supported by the Agence Nationale de la Recherche,Project IFSMACS(Interaction Fluide-Structure:Modélisation,analyse,contr?le et simulation)(Grant No.ANR-15-CE40-0010);supported by National Basic Research Program of China(Grant No.2021YFA1000800);National Natural Science Foundation of China(Grants Nos.11731007,12031006 and 11688101)。
We investigate the hydrostatic approximation of a hyperbolic version of Navier-Stokes equations,which is obtained by using the Cattaneo type law instead of the Fourier law,evolving in a thin strip R×(0,ε).The formal...
关键词:incompressible hyperbolic Navier-Stokes equations hydrostatic approximation hyperbolic Prandtl system 
Extending the Frequency Range of Surface Plasmon Polariton Mode with Meta-Material
《Nano-Micro Letters》2017年第1期122-129,共8页Fengyu Zhou Fang Liu Long Xiao Kaiyu Cui Xue Feng Wei Zhang Yidong Huang 
supported by the National Basic Research Programs of China(973 Program)under Contracts No.2013CBA01704;the National Natural Science Foundation of China(NSFC-61575104)
The frequency range that surface plasmon polariton(SPP) mode exists is mainly limited by the metal material.With high permittivity dielectrics above metal surface, the SPP mode at high frequency has extremely large lo...
关键词:PLASMONICS Surface plasmon polariton Hyperbolic meta-material Surface mode 
Accessibility and Homology Bounded Strong Unstable Foliation for Anosov Diffeomorphisms on 3-torus
《Acta Mathematica Sinica,English Series》2017年第1期71-76,共6页Yan REN Shao Bo GAN Peng Fei ZHANG 
Supported by 973 Project(Grant No.2011CB808002);NSFC(Grant Nos.11025101 and 11231001)
We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus with a partially hyperbolic splitting. Since accessibility is an open property, this gives a negative answer to Hamm...
关键词:Partially hyperbolic accessible homology bounded 
Second-order two-scale analysis and numerical algorithms for the hyperbolic–parabolic equations with rapidly oscillating coefficients
《Chinese Physics B》2015年第9期40-53,共14页董灏 聂玉峰 崔俊芝 武亚涛 
Project supported by the National Natural Science Foundation of China(Grant No.11471262);the National Basic Research Program of China(Grant No.2012CB025904);the State Key Laboratory of Science and Engineering Computing and the Center for High Performance Computing of Northwestern Polytechnical University,China
We study the hyperbolic–parabolic equations with rapidly oscillating coefficients. The formal second-order two-scale asymptotic expansion solutions are constructed by the multiscale asymptotic analysis. In addition, ...
关键词:hyperbolic–parabolic equations rapidly oscillating coefficients second-order two-scale numerical method Newmark scheme 
Effect of disorder on hyperbolic metamaterials
《Chinese Physics B》2014年第9期478-482,共5页吕诚 李伟 蒋寻涯 曹俊诚 
supported by the National Basic Research Program of China(Grant No.2014CB339803);the National High Technology Research and Development Program of China(Grant No.2011AA010205);the National Natural Science Foundation of China(Grant Nos.61131006,61321492,11174309,and 11204340);the Major National Development Project of Scientific Instrument and Equipment,China(Grant No.2011YQ150021);the National Science and Technology Major Project,China(Grant No.2011ZX02707);the Major Project,China(Project No.YYYJ-1123-1);the International Collaboration and Innovation Program on High Mobility Materials Engineering of the Chinese Academy of Sciences;the Shanghai Municipal Commission of Science and Technology,China(Grant Nos.10JC1417000 and 14JC1407602)
Based on a modified retrieving method, we demonstrate that hyperbolic metamaterials (HMs) have considerable robustness against disorders, even when the disorder strength is quite large. Our retrieval method is more ...
关键词:hyperbolic metamaterials DISORDER retrieving method 
Dimension-Reduced Hyperbolic Moment Method for the Boltzmann Equation with BGK-Type Collision被引量:1
《Communications in Computational Physics》2014年第5期1368-1406,共39页Zhenning Cai Yuwei Fan Ruo Li Zhonghua Qiao 
supported in part by the National Basic Research Program of China(2011CB309704);the National Natural Science Foundation of China(NSFC91330205);supported by the Hong Kong Research Council GRF grant(PolyU 2021/12P);the Hong Kong Polytechnic University grant(A-PL61);supported by the Hong Kong RGC grant PolyU 2017/10P during their visits to the Hong Kong Polytechnic University。
We develop the dimension-reduced hyperbolic moment method for the Boltzmann equation,to improve solution efficiency using a numerical regularized moment method for problems with low-dimensional macroscopic variables a...
关键词:Dimension-reduction moment system NRxx global hyperbolicity boundary condition MICROFLOW 
Numerical Validation for High Order Hyperbolic Moment System of Wigner Equation被引量:1
《Communications in Computational Physics》2014年第3期569-595,共27页Ruo Li Tiao Lu Yanli Wang Wenqi Yao 
supported in part by the National Basic Research Program of China(2011CB309704);Fok Ying Tong Education and NCET in China;T.Lu was supported in part by the NSFC(11011130029,91230107);by SRF for ROCS,SEM.
A globally hyperbolic moment system upto arbitrary order for the Wigner equation was derived in[6].For numerically solving the high order hyperbolic moment system therein,we in this paper develop a preliminary numeric...
关键词:Wigner equation NRxx method moment method 
DIFFEOMORPHISMS WITH VARIOUS C^1 STABLE PROPERTIES
《Acta Mathematica Scientia》2012年第2期552-558,共7页田学廷 孙文祥 
supported by CAPES(Brazil);supported by National Natural Science Foundation(10671006,10831003);National Basic Research Program of China(973 Program)(2006CB805903)
Let M be a smooth compact manifold and A be a compact invariant set. In this article, we prove that, for every robustly transitive set A, flA satisfies a Cl-genericstable shadowable property (resp., Cl-generic-stable...
关键词:Specification property hyperbolic basic set topologically transitive shad-owing property 
Numerical Modeling of the Hyperbolic Mild-Slope Equation in Curvilinear Coordinates被引量:4
《China Ocean Engineering》2010年第4期585-596,共12页佟飞飞 沈永明 唐军 崔雷 
supported by the National Basic Research Program of China ( Grant No.2006CB403302);the National Natural Science Foundation of China (Grant Nos .50839001 and 50709004);the Scientific Research Foundation of the Higher Education Institutions of Liaoning Province (Grant No.2006T018)
The mild-slope equation is familiar to coastal engineers as it can effectively describe wave propagation in nearshore regions. However, its computational method in Cartesian coordinates often renders the model inaccur...
关键词:mild-slope equation curvilinear coordinates water propagation numerical modeling 
Sample-data Decentralized Reliable H∞ Hyperbolic Control for Uncertain Fuzzy Large-scale Systems with Time-varying Delay被引量:2
《自动化学报》2009年第12期1534-1540,共7页LIU Xin-Rui ZHANG Hua-Guang 
Supported by National Basic Research Program of China (973 Program) (2009CB320601), National Natural Science Foundation of China (60774048, 60821063), the Program for Cheung Kong Scholars, and the Research Fund for the Doctoral Program of China Higher Education (20070145015)
这份报纸学习样品数据的问题为有变化时间的延期的不明确的连续时间的模糊大规模系统的可靠 H 夸张控制。第一,模糊夸张模型( FHM )被用来为某些复杂大规模系统建立模型,然后根据 Lyapunov 指导方法和大规模系统的分散的控制理论,线...
关键词:模糊双曲模型 线性矩阵不等式 分散控制理论 执行器 
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