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耗散方程
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  dissipative equation
     SOLITON SOLUTIONS OF A NONLINEAR DISPERSIVE DISSIPATIVE EQUATION
     非线性色散-耗散方程的孤子解
短句来源
     EXPLICIT AND EXACT SOLUTIONS TO A NONLINEAR DISPERSIVE DISSIPATIVE EQUATION
     一个非线性色散-耗散方程的显式精确解
短句来源
     Using the bilinear methods in the soliton theroy, we have derived soliton solutions of a nonlinear dispersive dissipative equation, which describes weak nonlinear ionacoustic waves in a plasma consisting of cold ions and warm electrons.
     用孤子理论中的双线性方法,我们求到了一个非线性色散-耗散方程的孤子解,这个方程描述了由冷离子和热电子构成的等离子体中的弱非线性离-声波.
短句来源
     By using the modified homogeneous balance principle(HBP) and with the aid of Mathematica 4.0,more kinds of exact solutions to a nonliner dispersive_dissipative equation which describes weak nonlinear ionacoustic waves in a plasma consisting of cold ions and warm ielectrons,are obtained,which modifies and perfects the known results.
     利用修正的齐次平衡法,通过计算机代数系统Mathematica4 0进行验证,得到了用于描述由冷离子和热电子组成的等离子体弱非线性离子声波演化的非线性色散-耗散方程的几类显式精确解,修正和完善了已知的结果.
短句来源
  dissipative equations
     GLOBAL EXISTENCE OF THE CAUCHY PROBLEM FOR NONLINEAR DISSIPATIVE EQUATIONS
     非线性耗散方程Cauchy问题整体解的存在性
短句来源
     The Bcklund Transformations and Symmetry Reductions For Nonlinear Dissipative Equations
     非线性耗散方程的Bcklund变换及对称约化
短句来源
     This paper obtained that the mixed problems with the second boundary condition for seuer-al types important nonlinear wave equations have the quenching property, and the same results are got with a class of dissipative equations
     本文得到了几类重要的非线性波动方程具第二类边界条件的混合问题具有熄灭现象,并对一类耗散方程得到同样的结果。
短句来源
     This paper presents a kind of nonlinear Galerkin method for a class of dissipative equations,and prove the convergence results of this methd.
     对一类耗散方程引入了一种非线性Galerkin方法 ,并证明了这种方法的收敛性 .
短句来源
     In this paper, the existence and uniqueness of global mild solutions for a class of nonlinear dissipative equations are studied by means of operator theory.
     本文研究了一类非线性耗散方程Cauchy问题的整体广义解存在性及唯一性。
短句来源
  dissipation equation
     PERIOD AND APPROXIMATE TRIGONOMETRIC POLYNOMIAL SOLUTION FOR LIMIT CYCLE OF A GENERAL LIENARD NONLINEAR DISSIPATION EQUATION ASSOCIATED WITH SMALL PARAMETERS
     小参数广义Lienard型耗散方程周期及三角多项式定常解
短句来源
     The momentum equation, energy equation, turbulent energy equation, dissipation equation are all in convection diffusion type. However, the continuity equation is not in convection diffusion type.
     流体力学的动量方程、能量方程、湍动能方程和耗散方程都具有对流扩散方程的形式,但连续方程却不是对流扩散型的。
短句来源
     In order to analyze air leakage strength and oxygen concentration distribution characteristics of stoping goaf,finite element model of caving goaf air leakage flow pattern and oxygen concentration variation is established with heterogeneous air leakage seepage equation and oxygen concentration dissipation equation and resolved against observed data,and the flow field near working face is treated as two-flow layer flow between caving medium and caving slack.
     为分析回采采空区漏风强度与氧浓度分布特征,用非均质漏风渗流方程和氧浓度耗散方程建立了冒落采空区漏风流态和氧浓度变化的有限元数值模型,结合观测数据进行了求解; 工作面附近流场按冒落介质和冒落空隙间的双流层问题处理。
短句来源
  “耗散方程”译为未确定词的双语例句
     MILD SOLUTIONS OF CAUCHY PROBLEMS FOR NONLINEAR DISSIPATIVE EQUATONS
     非线性耗散方程Cauchy问题广义解
短句来源
     New exact solutions to a nonlinear dispersive-dissipative equation
     一个非线性色散-耗散方程新的精确解
短句来源
     New Solitary Wave Solutions and Periodic Wave Solutions to a Nonlinear Dispersive-dissipative Equation
     一个非线性色散-耗散方程的新孤子解和周期解
短句来源
     The Reynolds Stress Model (RSM) for turbulence is described together with the kε model with and without the buoyancy term. This article describes the RSM of 11 Equation which was developed from RSM of 7 Equation for heated flows by solving additional transport equations for the turbulent heat fluxes and for the variance of the temperature fluctuations.
     对Reynolds应力模型(RSM)在数值模拟热分层流场方面进行了优化,即在Reynolds应力方程和湍动能耗散方程的基础上加入标量通量方程和温度扰动方程,使原来的7方程成为了11方程。
短句来源
     As pointed out in paper [1], the possibility and method of directly finding the periodic solution in the form of Fourier series corresponding to the stable limit cycle of equation (1) are discussed together with the special case of nonlinear free vibration of equation (38) by the method of undetermined coefficient for Fourier series expansion of a given function.
     本文沿文献[1]提出的,借待定系数法确定Fourier级数的途径,讨论了直接求出小参数广义Lienard型耗散方程定常振动的Fourier级数形式的周期解的可能性和力法. 也讨论了非线性自由振动这一特殊情况.
短句来源
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  dissipative equation
Consequently, the deterministic part of the velocity results to satisfy a modified Hamilton-Jacobi dissipative equation in configuration space.
      
We consider here a weakly dissipative equation, the damped nonlinear Schr?dinger equation in the one-dimensional cubic case.
      
The general form of the stochastic equation for the completely dissipative equation is developed for the first time.
      
  dissipative equations
Finite dimension of global attractors for dissipative equations governing modulated wave
      
This allows us to construct new solutions for a chosen class of dissipative equations.
      
The proofs of our results combine strong a priori estimates which depend very little on the non-linearities with an application of Schauder's fixed point theorem to some related dissipative equations.
      
The soft computing simulation design methodology of intelligent control system for mobile micro-nano-robots based on modeling of non-linear dissipative equations of robots motion with a minimum entropy production is described.
      
We study the Cauchy problem for the nonlinear dissipative equations (0.1) uo?u-αδu + Β|u|2/nu = 0,x ? Rn,t } 0,u(0,x) = u0(x),x ? Rn, where α,Β ? C, ?α 0.
      
更多          
  dissipation equation
The characteristic length scale of subgrid turbulence is no longer given by the spatial discretization step size, but by the use of a dissipation equation.
      
Fallacies include the mixing-length concept; the effect of pressure gradient on Reynolds shear stress; the separability of time and space derivatives; models of the dissipation equation; and chaos.
      
Fluctuation-dissipation equation of asymmetric simple exclusion processes
      
We prove that the fluctuation-dissipation equation w=Lu+D?η has a solution for some function u and some constant D identified to be the diffusion coefficient.
      
It is shown that this behavior is very much dependent on the gravitational production term in the turbulent dissipation equation, about which there is insufficient understanding in the literature.
      
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The steady state beam loading theory based upon the diffusion equation ofthe electron linear accelerator with RF feedback including a buncher is discussed.The analytical expressions of steady state charateristics of the accelerator is derived.The loading characteristics of the accelerator with bridge ratio n=1 and n=n_(opi)are calculated at last.

本文讨论了含聚束器的射频反馈电子直线加速器基于耗散方程的稳态束负载理论,导出了加速器稳态特性的解析关系,最后计算了桥比n=1和n=n_(opt)加速器的负载特性。

As pointed out in paper [1], the possibility and method of directly finding the periodic solution in the form of Fourier series corresponding to the stable limit cycle of equation (1) are discussed together with the special case of nonlinear free vibration of equation (38) by the method of undetermined coefficient for Fourier series expansion of a given function. The formulae of the coefficients A_(2k-1), B_(2k+1) (K=1, 2,...) and nonlinear frequency ω of the series have been obtained and expressed in terms...

As pointed out in paper [1], the possibility and method of directly finding the periodic solution in the form of Fourier series corresponding to the stable limit cycle of equation (1) are discussed together with the special case of nonlinear free vibration of equation (38) by the method of undetermined coefficient for Fourier series expansion of a given function. The formulae of the coefficients A_(2k-1), B_(2k+1) (K=1, 2,...) and nonlinear frequency ω of the series have been obtained and expressed in terms of the linear combination of the derivatives of the composite function f_(?)~(K)(X_0), g_t~(K)(X_0) (K=1, 2,...).

本文沿文献[1]提出的,借待定系数法确定Fourier级数的途径,讨论了直接求出小参数广义Lienard型耗散方程定常振动的Fourier级数形式的周期解的可能性和力法.也讨论了非线性自由振动这一特殊情况.找到了求Fourier系数A_(2K-1),B_(2K+1)(K=1,2,…)及非线性角频率ω的公式及方法,这些公式将它们表为复合导数f_t~(K)(x_0),g_t~(K)(x_0)(K=0,1,…)的线性组合.于是,这两类方程的求解,便简化为求各阶复合导数问题.但由于求高阶复合导数的复杂性,本法只能用于求三角多项式近似解.

For solving a problem of the determination of an unknown diffusion coefficient in a degenerate diffusion equation from some overspecified conditions at the boundary, We present an eguivalent inverse problem and show the Existence Theorem on the Solutions of this problem.

为解决一类退化耗散方程由某超定边界条件来确定未知耗散系数的问题,我们提出了与之等价的一个反问题,并证明了该问题解的存在性定理。

 
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