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排序方式: 共有234条查询结果,搜索用时 31 毫秒
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1 IntroductionandMainRrsultsSincethe 1 950s,therehasbeenarapidprogressinthestudyoftheregularitytheoryforgeneralizedsolutionsofsecond_orderlinearellipticequationsindivergenceformwithseveralvariables,whichhasplayedanimportantroleinthestudyofquasi_linearequations (seeRefs.[1 ,2 ] ) .But,inspiteofthefactthatMorry[3 ]provedtheFredholmAlternativetheoremwithrespecttotheexistenceofgeneralizedsolutionsofsecond_orderlinearellipticequationsindivergenceform (whichisageneralizationoftheclassicaltheory)a… 相似文献
63.
Andrés Aragoneses Diego Pavón Winfried Zimdahl 《General Relativity and Gravitation》1998,30(2):299-310
In this article we determine the dominating modes of the cosmological perturbations in different transition eras of the universe evolution (namely, radiation-dust, dust-vacuum, dust-K-matter, and K-matter-vacuum) in a covariant and gauge-invariant manner. 相似文献
64.
It is shown that a projectively invariant Lagrangian field theory based on linear non-symmetric connections in space-time and arbitrary source fields is equivalent to Einstein's standard theory of gravitation coupled to a source Lagrangian depending solely on the original source fields. A key point is that, as in the case of Lagrangian field theories based on symmetric connections in space-time, the Euler-Lagrange field equations uniquely determine the projective invariant part of the linear connection in terms of the metric, their first-order derivatives, the source fields, and their conjugate momenta. 相似文献
65.
The Newtonian theory of spatially unbounded, self-gravitating, pressureless continua in Lagrangian form is reconsidered. Following a review of the pertinent kinematics, we present alternative formulations of the Lagrangian evolution equations and establish conditions for the equivalence of the Lagrangian and Eulerian representations. We then distinguish open models based on Euclidean space R3 from closed models based (without loss of generality) on a flat torus T3. Using a simple averaging method we show that the spatially averaged variables of an inhomogeneous toroidal model form a spatially homogeneous background model and that the averages of open models, if they exist at all, in general do not obey the dynamical laws of homogeneous models. We then specialize to those inhomogeneous toroidal models whose (unique) backgrounds have a Hubble flow, and derive Lagrangian evolution equations which govern the (conformally rescaled) displacement of the inhomogeneous flow with respect to its homogeneous background. Finally, we set up an iteration scheme and prove that the resulting equations have unique solutions at any order for given initial data, while for open models there exist infinitely many different solutions for given data. 相似文献
66.
WO3在γ-Al2O3表面的分散状态和最大分散量 总被引:2,自引:0,他引:2
应用X光衍射法(XRD)测定了WO2/γ-Al2O3体系的物相组成和平均晶粒度,以及该体系的孔容和比表面:应用XRD相定量外推法和光电子能谱(XPS)峰强度比(Iw4f/IA12s)法定量测定了WO3在γ-Al2O3表面的最大分散量,测值分别为0.21和0.20gWO3/100m[2]γ-Al2O3,与按照WO3在γ-Al2O3表面作密置单层排布模型的计算值0.189WO3/100m[2],即4.9x10[18]W原子/m[2])相近,对WO3/γ-Al2O3体系与MoO3/γ-Al2O3体系比较和讨论。 相似文献
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Through the preparation of PVDF membranes using various nonsolvent coagulation baths following the phase inversion process, the influence of alcohol-based nonsolvents on the formation and structure of PVDF membranes were investigated. The light scattering and light transmission measurements were used to characterize the equilibrium phase diagram and the gelation speed, respectively. The locations of the crystallization-induced gelation boundaries for various systems and precipitation processes were explained from the corresponding thermodynamic and kinetic parameters. It was found that the better affinity between alcohol-based nonsolvents and DMAc solvent caused the gelation boundaries further away from the PVDF-DMAc axis with the coagulation bath varying from water, methanol, ethanol to iso-propanol. Due to the lower exchange rate of DMAc and alcohols, the delayed demixing took place for the membrane-forming using alcohols as baths, and the delayed time became longer when the coagulation bath was changed from methanol, ethanol to iso-propanol. The characterization results of membranes indicate that the influence of nonsolvents on the phase diagram and the precipitation process are in agreement with those on the membrane morphology. The better thermodynamic stability and a low exchange diffusion rate of PVDF/DMAc/alcohols favor the liquid-solid phase separation in gelation process, and therefore yield the membranes with a porous upper surface, a particular bottom surface and symmetrical structure. 相似文献
70.