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非线性耗散
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  nonlinear dissipative
     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
     Nonlinear Dissipative Boundary Feedback Stabilization of Euler-Bernoulli Beam
     Euler-Bernoulli梁的非线性耗散边界反馈镇定(英文)
短句来源
     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
     Inverse Optimal Control of a Class of Nonlinear Dissipative Systems
     一类非线性耗散系统的逆最优控制
短句来源
     MILD SOLUTIONS OF CAUCHY PROBLEMS FOR NONLINEAR DISSIPATIVE EQUATONS
     非线性耗散方程Cauchy问题广义解
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  non-linear dissipative
     Linear Slowly Varying Bifurcation of Non-linear Dissipative Systems and Control
     非线性耗散系统的线性时变分岔及控制
短句来源
     Initial value problem for p-equation group with non-linear dissipative terms
     具非线性耗散项的p-方程组的初值问题
短句来源
  nonlinear dissipation
     In second part, the problem mentioned above is extended to the initial value problems of forced quasilinear wave equation with nonlinear dissipation:Using the same methods, we obtain also the similar results.
     在另一部分,将上述问题推广至具非线性耗散项的强迫拟线性波动方程的初值问题:援用相同的方法,我们得到类似的结果.
短句来源
     We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation.
     研究具非线性耗散项的强迫拟线性波动方程的初值问题.
短句来源
  “非线性耗散”译为未确定词的双语例句
     Traveling Wave Solutions to the Generalized Kdv and Kp Equations with Pure Nonlinear Dispersion
     一类具有纯非线性耗散的广义Kdv方程和Kp方程的行波解
短句来源
     Exact Solution for a Nonlinear Dispersive Dissipative System Using Symbolic Computation
     一个非线性耗散色散系统精确解的符号计算
短句来源
     Influence of nonlinear coupling on quantum decay rate of metastable dissipative systems
     非线性耗散对亚稳态系统量子衰变速率的影响
短句来源
     Cauchy Problem for P Systems with Dissipative Terms
     具非线性耗散项P系统的Cauchy问题
短句来源
     SINGULARITY ANALYSIS OF NONLIEARLY DISPERSIVE R(M, N) EQUATION
     非线性耗散R(m,n)方程奇异分析
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  nonlinear dissipative
Exact periodic solutions of the nonlinear dissipative system describing the convection of a viscous heat-conducting fluid in a closed channel are shown to exist and are investigated.
      
An equation that describes the structure of the wave perturbations and its evolution is derived subject to the condition of balance of the nonlinear dissipative and relaxation effects, and its solutions of the solitary wave type are analyzed.
      
We prove upper estimates for the ε-entropy and fractal dimension of the global attractors of nonlinear dissipative wave equations.
      
This method can be considered the phenomenological basis of the currently developing science of complexity, which deals with open nonlinear dissipative systems of various essences-real natural objects.
      
High-frequency stabilization of nonlinear dissipative structures in nematic liquid crystals
      
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  non-linear dissipative
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.
      
However, very close to the center, non-linear dissipative and radiative damping of internal waves become large and the diffusion coefficient vanishes at the very center.
      
  nonlinear dissipation
The dynamics of collapses was numerically studied taking into account medium nonlinearity saturation and nonlinear dissipation.
      
The collapse is shown to stabilize due to the saturation of nonlinearity or nonlinear dissipation, which restrict the field increase and lead to the packet splitting in the transverse direction.
      
In a dispersionless medium, the formation of a shock front within the pulse leads to the nonlinear dissipation of linearly polarized radiation and to self-focusing stabilization.
      
The solution is obtained below threshold by linearization and above threshold by quasilinearization of the nonlinear dissipation coefficients.
      
Decay of solutions of the wave equation with a local nonlinear dissipation
      
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This paper reports one type of laws which governs action potential of nervous pulses, and it is discussed by general form-nonlinear dispersive process. We find that the nervous wave is a slowly varying amplitude solitary wave in the small dispersive case. We prove that the soliton is not generated in the ordinary dispersion, but a travelling wave with varying amplitudes may be obtained. The stability of various possible action potential and bifurcation in overdamped case are also discussed in this paper.

本文提出神经脉冲动作势所遵从的一种规律,用普遍的形式——非线性耗散过程进行讨论.在小耗散的情况下,得到神经波是一种慢变振幅的孤立波;在通常量级耗散的情况下,证明了不能形成孤立子,而得到变幅的行波,在过阻尼的情况下,讨论了各种可能平衡动作势的稳定性及分叉现象.

This paper fully discusses the process of excitation, transition and absorption of phonons in the macromolecules of biological systems on the basis of Frohlich model with the method of nonequilibrium statistical mechanics.It is shown that L>0 is the process in which a nonlinear dissipative structure takes form, where the optical branch plays a major role . In regard to the process of L=0, this paper takes for an example the associated reaction of insulin receptor, for which contribution of phonon-entropy is...

This paper fully discusses the process of excitation, transition and absorption of phonons in the macromolecules of biological systems on the basis of Frohlich model with the method of nonequilibrium statistical mechanics.It is shown that L>0 is the process in which a nonlinear dissipative structure takes form, where the optical branch plays a major role . In regard to the process of L=0, this paper takes for an example the associated reaction of insulin receptor, for which contribution of phonon-entropy is quantitatively discussed. And it is inferred that the sound branch is playing a vitally important role in this process.Owing to the adoption of Debye model, the subject of the article (2) becomes a special case of our theory. Therefore, ont only result of experiment is satisfactorily illustrated, but the reason of infrared-ray which is emitted by biological system is expounded.

本文在Frohlich模型的基础上,用非平衡统计方法,较全面地讨论了生物体内大分子中的声子激发、转移和吸收过程。判明了L〉0是一个形成非线性的耗散结构的过程,过程中起主导作用的是光学支;对L=0的过程,本文以胰岛素一受体的缔合反应为例,定量地计算了声子熵的贡献,认为声学支起了主要作用。由于改用丁德拜模型,才使文献(2)所讨论的问题成为我们理论的一个特殊情况。这样不仅满意地解释了实验结果,同时也阐释了生物体发出红外辐射的原因。

A highly truncated spectral model is used to study the self-exciting heating, dissipation and nonlinear action in the typhoon depression system. In the certain intensely heating condition of cumulus convection, the model exist three equilibrium states. A stability investigation of the equilibrium state triplets shows that two are stable while one is unstable. It is pointed out that the process of typhoon depression generation and development is the process in which steady-state equilbrium of the model envolves...

A highly truncated spectral model is used to study the self-exciting heating, dissipation and nonlinear action in the typhoon depression system. In the certain intensely heating condition of cumulus convection, the model exist three equilibrium states. A stability investigation of the equilibrium state triplets shows that two are stable while one is unstable. It is pointed out that the process of typhoon depression generation and development is the process in which steady-state equilbrium of the model envolves from gradual change to sudden change and from sudden change to gradual change in the phase space.

本文用非线性耗散理论研究第二类条件不稳定下的自激加热的热带低压、台风系统。本文用高截断谱方法建立的非线性耗散系统,在一定的积云对流加热条件下,存在两个稳定的平衡态,分别表示热带低压、台风的平衡态及静态平衡态;另外还存在一个不稳平衡态。热带低压、台风的发生发展和消亡过程就是系统平衡态在相空间里由渐变到突变,由突变到渐变的往复循环过程。

 
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