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Variational Theory for ChandrasekharaiahThermopiezoelectricity

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Communications in Nonlinear Science and Numerical Simulation 1999年第4期4卷 289-292页

IntroductionRecelltillterestinpiezoelectricmaterialsst***1988,Chandrasekharaiah[1]propos***,Ashida&Tauchert[2... 详细信息

IntroductionRecelltillterestinpiezoelectricmaterialsst***1988,Chandrasekharaiah[1]propos***,Ashida&Tauchert[2...

关键词： thermopiezoelectricity variational theory semi-inverse method finite element method Lagrange multiplier

Variational Approach to a Strictly Hyperbolic System of Conservation Laws with Singularity

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 179-183页

Via the send-inverse method proposed by He, a variational principle isestablished for a system of two conservation laws which is strictly hyperbolic. Applyingvariational technique with variable-domain, the Rankine-Hug... 详细信息

关键词： variational technique semi-inverse method hyperbolic problems

Approximate Analytical Solution of Blasius' Equation

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Communications in Nonlinear Science and Numerical Simulation 1999年第1期4卷 75-78页

作者： Jihuan HE (shanghai institute of applied mathematics and mechanics, shanghai university, shanghai 200072, china) Email:glliu@*** shanghai institute of applied mathematics and mechanics Shanghai University Shanghai 200072 China

The Blasius’ equation, with boundary conditions, is studied in this paper. An approximate analytical solution is obtained via the variational iteration method. The comparison with Howarth’s numerical solution reveal... 详细信息

关键词： nonlinear technique variational iteration method Blasius’ flow variational technique

A New Approach to Nonlinear Partial Differential Equations

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Communications in Nonlinear Science and Numerical Simulation 1997年第4期2卷 230-235页

作者： Jihuan HE (shanghai university,shanghai institute of applied mathematics and mechanics,shanghai 2 0 0 0 72 ,china) shanghai university Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

In this paper,a novel method called variational iteration method is proposed to solve nonlinear partial differential equations without linearization or small *** this method,a correction functional is constructed by a general Lagrange multiplier,which can be identified via variational *** analytical solution can be obtained from its trial- function with possible unknown constants,which can be identified by imposing the boundary conditions,by successively iteration.

关键词： Nonlinear Problems Partial Differential Equations Variational Iteration Method Variational Theory

THE NONLINEAR BEHAVIOR OF INTERFACE BETWEEN TWO-PHASE SHEAR FLOW WITH LARGE DENSITY RATIOS

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Journal of Hydrodynamics 2006年第5期18卷 587-592页

作者： DONG Yu-hong shanghai institute of applied mathematics and mechanics Shanghai University Shanghai 200072 China

The Navier-Stokes equations for the two-dimensional incompressible flow are used to investigate the effects of the Reynolds number and the Weber number on the behavior of interface between liquid gas shear flow. In the present study, the density ratios are fixed at approximately 10^0-10^3. The interface between the two phases is resolved using the level-set approach. The Reynolds number and the Weber number, based on the gas, are selected as 400-10000 and 40-5000, respectively. In the past, simulations reappeared the amplitude of interface growth predicted by viscous Orr-Sommerfeld linear theory, verifying the applicability and accuracy of the numerical method over a wide range of density and viscosity ratios; now, the simulations show that the nonlinear development of ligament elongated structures and resulted in the subsequent breakup of the heavier fluid into drops.

关键词： two-phase shear flow large density ratios immiscible interface level set approach

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OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING

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applied mathematics and mechanics(English Edition) 2005年第4期26卷 441-448页

作者：罗辉庄容坤郭兴明shanghai institute of applied mathematics and mechanics shanghai university shanghai 200072 P.R.china Department of mathematics Huizhou College Huizhou 516015Guangdong Province P.R.China shanghai institute of applied mathematics and mechanics Shanghai University Shanghai 200072 P.R.China

By the generalized Riccati transformation and the integral averaging technique, some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were *** sufficient oscillation criteria for previous equations were built *** oscillation criteria have been expanded and strengthened in some other known results.

关键词： second order nonlinear differential equation with damping oscillation Riccati transformation integral averaging technique

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Analytical Solution of A Nonlinear Oscillatorby the Linearized Perturbation Technique

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 109-113页

作者： Jihuan HE(shanghai institute of applied mathematics and mechanics, shanghai university,shanghai 200072, china)E-mail: glliu@*** shanghai institute of applied mathematics and mechanics Shanghai University Shanghai 200072 China

In this paper, a nonlinear oscillator with no possible small parameters isconsidered. The traditional perturbation techniques can not be applied to such a *** linearizing the nonlinear system, and embedding an artificial parameter, we obtain anapproximate solution which is valid on the whole solution domain, and the results are inremarkable agreement with the exact one even in the case where the amplitude of theoscillator tends to infinite.

关键词： perturbation technique non-linear equations artificial parameter’

Perturbation Approach to Ball-BearingOscillator without Possible Small Parameter

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Communications in Nonlinear Science and Numerical Simulation 1999年第3期4卷 234-236页

作者： Jihuan HE(shanghai university, shanghai institute of applied mathematics and mechanics,shanghai 200072, china)E-mail: glliu@*** shanghai university Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

IntroductionInthispaper,weconsiderthemotionofaball-bearingoscillatinginasmoothtubethatisbentintoacu***,whichcanbereadilyobtained,iswithinitialconditionsu(0)=A,U’(0)=***... 详细信息

IntroductionInthispaper,weconsiderthemotionofaball-bearingoscillatinginasmoothtubethatisbentintoacu***,whichcanbereadilyobtained,iswithinitialconditionsu(0)=A,U’(0)=***...

关键词： pertuxbation technique nonlinearity

EXPERIMENTAL INVESTIGATIONS ON DIFFUSION CHARACTERISTICS OF HIGH CONCENTRATION JET FLOW IN NEAR REGION

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Journal of Hydrodynamics 2001年第1期13卷 117-121页

作者： Zhang Yan, Wang Dao-zeng, Fan Jing-yu shanghai university, shanghai institute of applied mathematics and mechanics, shanghai 200072, china Inst. of Appl. Math. and Mech. Shanghai Univ. Shanghai 200072 China

WT5”BZ]The diffusion characteristics of the high concentration jet flow issued from a round nozzle above the free surface into moving waterbody were experimentally investigated. By means of flow visualization technique, the diffusion behavior of the high concentration jet was observed and analysed, Concentration distribution in the near region was obtained by sampling and quantitative measurements. Experimental results indicate that the diffusion mechanics of the high concentration jet flow are greatly influenced by initial momentum, buoyancy, turbulent structure, ambient current and boundary conditions, showing complicated flow patterns and concentration distribution characteristics that are different from previous results for submerged jets. [WT5”HZ]

关键词： et flow high concentration diffusion turbulent structure

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