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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
In the present paper, we deal with the long-time behavior of dissipative partial differential equations, and we construct the approximate inertial manifolds for the nonlinear Schr?dinger equation with a zero order dissipation.
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The long time behavior of solution for Hirota equation with zero order dissipation is studied.
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The relative dielectric constant εr and the dissipation factor tgδ of the PZT thin films were measured with an LCR meter and were found to be 158 and 0.04-0.005, respectively.
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The sap flow density, water consumption, and related environmental factors were also measured using thermal dissipation method and ICT-2000TE (Transpiration-Environment) automatic measuring system for tree transpiration and environmental factors.
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mangium forest was measured by using Granier's thermal dissipation probe for over two years in the hilly land of South China.
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| | In this article, the coupling equations of the laser, the first Stokes, the first anti-Stokes light, and the coherent phonon field are derived from the hamiltonian with the relaxation and dissipation terms introduced phenomenologically. The properties of these equations are analysed by adopting an approximation higher than the quasi-static approximation, provided the molecules are far from resonance. The threshold for a Raman Maser is obtained and the temporal behaviour discussed. It is shown that no ... | | 本文从哈密顿量出发,导出描写受激Raman过程的方程式:Laser光、一级Stokes与反Stokes光及相干的声子场的耦合方程,并唯象地引入弛豫耗散。在分子属于远共振情形及比介电常数近似更高一级的近似下,分析了方程的性质。由平衡点稳定性的讨论给出了Raman光激射器的阈值,发现反Stokes激射光的产生并不要求附加的阈条件,即在受激Raman效应中,反Stokes光总是必然出现的。对于Raman光激射器诸工作点的性质及工作过程也作了进一步的讨论,发现在一定条件下,在强激射光源辐照下,存在着Stokes与反Stokes成分几乎各占一半的唯一的稳定平衡点(Raman光激射器的工作点)。文中也顺便讨论了声子弛豫所起的作用及有长寿命的声子时Raman光激射器的行为。 | | 文摘来源 | | Basing on the rough estimation of the dissipation types for some gases and the observa-tion of experimental phenomena, we suggest that the condition and sort of ambient gasis one of the most important factors which affect the growth of YAG:Nd crystals and theNusull's number may be the important factor affecting the situation of the melt flow. | | 根据对不同气体散热方式的估算及实验现象的观察,认为炉内气氛条件是影响YAG:Nd晶体生长的重要因素之一。气体的努谢尔数是影响熔体流动状态的重要参数。 | | 文摘来源 | | In consequence of the spontaneous symmetry breaking, non-zero energy Goldstone, modes with dissipation are excited in a non-equilibrium stationary state with space-time structure. In this paper, as a specific example, the Ward-Takahashi identities formulated in the close time path Green's function method is applied to the saturation state of a single mode laser. A generalized Goldstone theorem in a weak inho-mogeneous dissipative system is established and the physical interpretation of the Goldstone m... | | 在有时空结构的非平衡定常态上,由于对称性的自发破缺,形成非零能、带耗散的Goldstone模。本文以么模激光的饱和状态为例,从普遍的相位对称性出发,应用闭路格林函数中的Ward-Takahashi恒等式,具体地导出了这种带耗散的推广的Goldstone定理的一个形式,讨论了相应的Goldstone模式的物理意义。求得了饱和状态光量子态的分裂。具体给出了状态从相位有序→相位无序的转化规律,从而给自发破缺的对称性的恢复一个具体的描述。 | | 文摘来源 | |   | | << 更多相关文摘 |
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