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...
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...
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...
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, ...
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 ...
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...
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...
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...
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...
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...