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Analytical Study on Transmission and Reflection of Non-Linear Shallow Water Waves

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China Ocean Engineering 1991年第1期6卷 1-12页

作者： Miao, Guoping Liu, Yingzhong Shanghai Jiao Tong Univ Shanghai China

The analytical study is made by using the method of matched asymptotic expansions on the transmission and reflection of solitary waves and conidal waves on two-dimensional floating bodies. The solutions give explicity the variation pattern of the transmitted waves and the characteristics of the reflected waves, including the wave profile, amplitude, phase shift and evolution. The effects of the gap between the body and the sea bottom on the transmission and reflection of those waves are also discussed.

关键词： Hydrodynamics Fluid Structure Interaction Mathematical techniques perturbation techniques

BUCKLING AND POSTBUCKLING OF MODERATELY THICK PLATES

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Applied Mathematics and Mechanics(English Edition) 1990年第4期11卷 367-376页

作者：沈惠申 Shanghai Jiaotong University Shanghai

This paper gives the basic differential equations for finite deflections of elastic plates according to Reissner's approximate stress distributions. The buckling and postbuckling problems of elastic rectangular plates, including the effect of transverse shear deformation, are solved and discussed, by using a perturbation method. The postbuckling equilibrium paths of perfect and imperfect moderately thick rectangular plates are presented and compared with the results based on thin plate theory.

关键词： Mathematical techniques perturbation techniques Stresses Analysis

ELAPSED TIME OF PERIODIC MOTION WITH NEGATIVE DAMPING

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Applied Mathematics and Mechanics(English Edition) 1992年第8期13卷 719-723页

作者：李怡平 Department of Mathematics Zhongshan University Guangzhou Faculty of Science and Technology University of Macao Macao

An initially periodic motion is gradually raised out of the potential well by the effect of negative damping. The elapsed time when the motion ceases to be periodic is obtained by multiple variable expansions. An exam... 详细信息

关键词： Approximation theory Damping Mathematical models Nonlinear equations Numerical analysis perturbation techniques Time varying systems

ON THE NONLINEAR STABILITY BEHAVIOUR OF DISTORTED PLANE COUETTE FLOW

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Applied Mathematics and Mechanics(English Edition) 1991年第5期12卷 439-443页

作者：周哲玮 Shanghai University of Technology Shanghai Institute of Applied Mathematics and Mechanics Shanghai

This paper discusses the nonlinear stability behaviour of distorted plane Couette flow to 2-dimensional disturbances, and compares it with that of distorted plane Poiseuille flow. The results show that plane Couette f... 详细信息

关键词： Mathematical techniques perturbation techniques

SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS

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Applied Mathematics and Mechanics(English Edition) 1994年第8期15卷 713-719页

作者：田根宝林宗池 Mathematical Section Shanghai Railway College Shanghai Department of Mathematics Fujian Normal University Fuzhou

In this paper, the various problems associaled with the optimal control of systemsgoverned by partial differential equations are introduced by using singularly perturbedmethods for analysis based on stale equations,... 详细信息

关键词： optimal control perturbation techniques partial differential equations

Parity chain and parity chain breaking in the two-level cavity quantum electrodynamics system

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Chinese Optics Letters 2017年第5期15卷 6-10页

作者：赵晶云秦立国蔡勋明林强王中阳 Institute of Optics Department of PhysicsZhejiang University Shanghai Advanced Research Institute Chinese Academy of Sciences School of Science Zhejiang Sci.-Tech.University School of Science Qingdao University of Technology Department of Applied Physics Zhejiang University of Technology

We investigate the transitions between energy levels and parity symmetry in an effective two-level polar molecule system strongly coupled with a quantized harmonic oscillator. By the dressed-state perturbation theory, the transition diagrams between the dressed-state energy levels are presented clearly and show that the odd （even） parity symmetry is broken by the permanent dipole moment （PDM） of the polar molecules. By the analytical and numerical methods, we find that when the coupling strength and the PDM increase, the more frequency components are induced by the counter-rotating terms and PDM.

关键词： Chains Molecules Numerical methods perturbation techniques Quantum electronics Quantum theory