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Perturbation Analysis of the Attached Water Mass Effect on Offshore Platform Dynamic Response
《China Ocean Engineering》1993年第4期369-382,共14页Chu, Liangcheng  Qu, Naisi  Guo, Yonggang  Lu, Min 
Theoretically speaking, it is impossible to make the differential equation of motion uncoupled for the natural modes of a system in consideration of the attached water. The hydro-elastic structure is equal to the non-...
关键词：Convergence of numerical methods DAMPING Dynamic response Equations of motion Mathematical models Perturbation techniques Structural analysis Structural loads WATER 
COMPUTATIONS OF WIND-WAVE COUPLING
《Annals of Differential Equations》2010年第3期322-331,共10页Tobias Kukulka Tetsu Hara 
supported by the U.S. National Science Foundation (Grant OCE- 0526177);the U.S. Office of Naval Research (Grant N00014-06-10729);supported by a WHOI/NOAA Cooperative Institute for Climate and Ocean Research Postdoctoral Scholarship
We present numerical computations of a new wind-wave coupling theory that is governed by a system of nonlinear advance-delay differential equations (NLADDE). NLADDE are functional differential equations for which the ...
关键词：nonlinear advance-delay differential equations collocation method functional differential equations wind waves 
Localized waves of the coupled cubic–quintic nonlinear Schrdinger equations in nonlinear optics
《Chinese Physics B》2017年第12期80-93,共14页徐涛 陈勇 林机 
Project supported by the Global Change Research Program of China(Grant No.2015CB953904);the National Natural Science Foundation of China(Grant Nos.11675054 and 11435005);the Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things(Grant No.ZF1213);the Natural Science Foundation of Hebei Province,China(Grant No.A2014210140)
We investigate some novel localized waves on the plane wave background in the coupled cubic-quintic nonlinear Schrdinger （CCQNLS） equations through the generalized Darboux transformation （DT）. A special vector sol...
关键词：generalized Darboux transformation localized waves SOLITON rogue wave BREATHER coupled cubic-quintic nonlinear Schr dinger equations 
Center manifolds of quasi-periodic differential equations被引量：1
《Progress in Natural Science:Materials International》1998年第5期37-42,共6页韩茂安 
Project supported by the National Natural Science Foundation of China (Grant No. 19531070).
The existence of center manifolds of general quasi-periodic differential equations is concerned Suffi cient conditions for the differential,equations to have global or local center manifolds are obtained.
关键词：QUASI-PERIODIC DIFFERENTIAL EQUATIONS center MANIFOLDS existence. 
3D dynamic motion of a dielectric micro-sphere within optical tweezers被引量：4
《Opto-Electronic Advances》2021年第1期14-24,共11页Jing Liu Mian Zheng Zhengjun Xiong Zhiyuan Li 
This work is supported by the National Natural Science Foundation of China(Grant No.11974119 and No.11804399);the Guangdong Innovative and Entrepreneurial Research Team Program(Grant No.2016ZT06C594);the Fundamental Research Funds for the Central Universities,South-Central University for Nationalities(Grant No.CZQ20018);National Key R&D Program of China(No.2018YFA 0306200).
Known as laser trapping,optical tweezers,with nanometer accuracy and pico-newton precision,plays a pivotal role in single bio-molecule measurements and controllable motions of micro-machines.In order to advance the fl...
关键词：optical tweezers 3D dynamic motion ray optics method Newton mechanical equations 
Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems
《Communications in Computational Physics》2013年第5期1189-1208,共20页Feng Chen Jie Shen 
partially supported by NSF grant DMS-0915066;AFOSR grant FA9550-11-1-0328.
We develop in this paper efficient and robust numerical methods for solving anisotropic Cahn-Hilliard systems.We construct energy stable schemes for the time discretization of the highly nonlinear anisotropic Cahn-Hil...
关键词：Spectral-Galerkin PHASE-FIELD ANISOTROPIC CAHN-HILLIARD stabilization coupled elliptic equations 
一类退化抛物方程高初始能量下解的有限时刻爆破及整体存在性
《Chinese Quarterly Journal of Mathematics》2024年第1期97-110,共14页刘功伟 杨坤 
Supported by National Natural Science Foundation of China(Grant No.11801145);the Innovative Funds Plan of Henan University of Technology(Grant No.2020ZKCJ09)。
We consider the initial-boundary value problem for finitely degenerate parabolic equation. We first give sufficient conditions for the blow-up and global existence of the parabolic equation at high initial energy leve...
关键词：High energy Degenerate parabolic equations Blow up Global existence 
Kalman Filtering for Delayed Singular Systems with Multiplicative Noise被引量：4
《IEEE/CAA Journal of Automatica Sinica》2016年第1期51-58,共8页Xiao Lu Linglong Wang Haixia Wang Xianghua Wang 
supported by National Natural Science Foundation of China(61273197,61503224);Applied Fundamental Research of Qingdao(14-2-4-19-jch);Huangdao District Science and Technology Project(2014-1-33);China Postdoctoral Science Foundation(2015M582115);"Taishan Scholarship"Construction Engineering
Kalman filtering problem for singular systems is dealt with, where the measurements consist of instantaneous measurements and delayed ones, and the plant includes multiplicative noise. By utilizing standard singular v...
关键词：ESTIMATION FILTRATION Phase noise Riccati equations Singular value decomposition 
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations
《Journal of Applied Mathematics and Physics》2024年第9期3163-3184,共22页Umme Ruman Md. Shafiqul Islam 
The numerical approach for finding the solution of fractional order systems of boundary value problems (BPVs) is derived in this paper. The implementation of the weighted residuals such as Galerkin, Least Square, and ...
关键词：Fractional Differential Equations System of Fractional Order BVPs Weighted Residual Methods Modified Legendre Polynomials 
EXPONENTIAL ESTIMATE OF SOLUTION TO STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY被引量：2
《Annals of Differential Equations》2010年第3期332-340,共9页Fengying Wei (College of Math. and Computer Sci., Fuzhou University, Fuzhou 350108) Ke Wang (Dept. of Math., Harbin Institute of Technology, Weihai 264209, Shandong) 
Supported by NNSF of China (No.10726062);the Natural Science Foundation of Fujian Province (No.2010J01005);Science and Technology Development Foundation of Fuzhou University(No.2010-XQ-24)
In this paper, by the Burkholder-Davis-Gundy inequality and It? formula, the exponential estimate of the solution to stochastic functional differential equations with infinite delay is established in the phase space B...
关键词：stochastic functional differential equations infinite delay exponential estimate It’s formula 
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