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1.
2.
Robert L. Jerrard Halil Mete Soner 《Calculus of Variations and Partial Differential Equations》2002,14(2):151-191
We study the Ginzburg-Landau functional
for , where U is a bounded, open subset of . We show that if a sequence of functions satisfies , then their Jacobians are precompact in the dual of for every . Moreover, any limiting measure is a sum of point masses. We also characterize the -limit of the functionals , in terms of the function space B2V introduced by the authors in [16,17]: we show that I(u) is finite if and only if , and for is equal to the total variation of the Jacobian measure Ju. When the domain U has dimension greater than two, we prove if then the Jacobians are again precompact in for all , and moreover we show that any limiting measure must be integer multiplicity rectifiable. We also show that the total variation
of the Jacobian measure is a lower bound for the limit of the Ginzburg-Landau functional.
Received: 15 December 2000 / Accepted: 23 January 2001 / Published online: 25 June 2001 相似文献
3.
We present some classical solutions to a gauge theory based on quadratically nonlinear Lie algebras without a central term. We observe that instanton-like and meron-like solutions force the internal fields to behave like solitons. 相似文献
4.
Mustafa Çelebier Ertan Şahin Nilgün Ancın Nurşen Altuntaş Öztaş Selma Gül Öztaş 《应用有机金属化学》2007,21(10):viii-viii
The article referenced above was first published online on 30 August 2007 with incorrect pagination; the pagination has now been corrected online and in print. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
5.
Bahattin Gümgüm Nermin Biricik Feyyaz Durap Ismail Özdemir Nevin Gürbüz Wee Han Ang Paul J. Dyson 《应用有机金属化学》2007,21(8):711-715
Palladium(II) complexes with N,N‐bis(diphenylphosphino)aniline ligands catalyse the Heck reaction between styrene and aryl bromides, affording stilbenes in good yield. The structures of two of the complexes used as pre‐catalysts have been determined by single‐crystal X‐ray diffraction. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
6.
E. I. Ölmez D. Kut A. N. Bilge I. Ölmez 《Journal of Radioanalytical and Nuclear Chemistry》2004,259(2):227-231
In ambient air, arsenic to selenium ratio (As/Se) is generally found to be less than 1, except in areas influenced by specific
point sources, such as Cu smelters. However, the annual average of this ratio is found to be much higher than unity in Turkey.
This finding is rather unique and may provide a marker for air masses influenced by the coal-related emissions in Turkey.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
7.
We consider a multiperiod mean-variance model where the model parameters change according to a stochastic market. The mean
vector and covariance matrix of the random returns of risky assets all depend on the state of the market during any period
where the market process is assumed to follow a Markov chain. Dynamic programming is used to solve an auxiliary problem which,
in turn, gives the efficient frontier of the mean-variance formulation. An explicit expression is obtained for the efficient
frontier and an illustrative example is given to demonstrate the application of the procedure. 相似文献
8.
Simple and convenient methods for determining surface chemical composition of lignocellulosic materials are described. The
methods are based on vapor phase fluorine surface derivatization with either trifluoro acetic anhydride (TFAA), tri-fluoro
ethanol (TFE) or pentafluorophenyl hydrazine (PFPH) and subsequent Electron Spectroscopy for Chemical Analysis (ESCA). Model
cellulosic surfaces with well defined functionalities were used to optimize the derivatization reaction conditions. Detection
and accessibility of surface hydroxyl functional groups were investigated in cotton and regenerated cellulose as models. Carboxymethyl
cellulose (CMC) was used as a model surface for detection and quantification of carboxylic acid groups. Theoretical conversion
curves for derivatization reactions were calculated and used to evaluate the extent of the reactions on the model surfaces.
It was found that the conversion was higher for the regenerated cellulose and CMC than for cotton. The protocols developed
using the model surfaces were applied to a case study on wood fibers with different degrees of complexity, namely dissolving
and chemithermomechanical (CTMP) pulp. Untreated and oxygen-plasma modified pulps were compared with respect to the surface
composition of functional groups. According to the derivatization reactions, functionalities containing oxygen were significantly
increased on the plasma-treated samples. The effect of the treatment was found to be dependent on the type of pulp. Fluorine
derivatization is shown to be an unambiguous method for clear assessment of the chemical functionalities of cellulosic surfaces. 相似文献
9.
İ. B. Özdemir 《Experiments in fluids》1997,22(4):271-280
This paper is concerned with an experimental investigation of the mixing inside the vortex ring formed by the gravity slumping
motion of a dense cloud in a less dense atmosphere. The dynamics of the spreading and instantaneous structures of the turbulent
flow were examined by visualization, single and multi-point measurements of velocity and concentration for two heavy gases,
carbondioxide (CO2) and dichlorodifluoromethane (CCl2F2), in a configuration in that heavy gas, initially trapped in a reservoir, was released with the rise of a shutter into calm
air of a sector-shaped dispersion channel.
Visualization of the cloud as a whole showed a spreading motion in which an advancing frontal structure was followed by a
stratified flow with a layer of dense fluid of higher velocities near the wall and, on top of it, a layer of dilute fluid
whose concentration is controlled by the mixing mechanisms within the head. During the course of spreading, there was always
a phase in which the head attained to a constant speed of advance, which occurred as 0.13 m/s for CO2 and 0.48 m/s for CCl2F2. It was interesting to observe for CO2 that the phase of constant speed took place in between two acceleration phases; the former was due to the initial slumping
of the cloud at the exit of the reservoir, and the latter was attributed to the collapse of the head on the transition to
the passive dispersion phase.
Instantaneous two-dimensional velocity field, measured with particle image velocimeter (PIV), showed that the cloud overran
the ambient air which caused the approaching dense fluid deflected away from the wall with significant vertical velocities
and downstream-moving separation, and the air trapped under the head resulted in the density inversion which introduced further
intricacy to the turbulent structure of the head. Instabilities at the upper free shear layer due to density and velocity
discontinuity rolled into periodic array of vortices which engulfed a considerable amount of air as they were convected backwards
over the head, but the incorporation of heavy and light fluids was completed with the appearance of microscales after the
collapse on the stratified layer. Analyses of the cloud head at different downstream locations also revealed that its size
remained unchanged when the speed of advance was constant, allowing the rate of change of the cloud volume being modeled with
the rate of spreading.
Contours of concentration obtained from digitized PIV pictures confirmed the kinematic features of the mixing revealed by
the velocity field and that the concentration values within the large structures were higher than those at the upper part
of the stratified layer. Motivated by the experimental observations, a semi-empirical analysis was presented to describe the
results and based on local values of the Richardson and Reynolds numbers.
Received: 4 October 1995 / Accepted: 4 July 1996 相似文献
10.
Solubility of carbon dioxide in aqueous solutions of sodium chloride: Experimental results and correlation 总被引:2,自引:0,他引:2
The solubility of carbon dioxide in aqueous solutions of sodium chloride was measured in the temperature range from 40 to 160°C, up to 6 mol-kg salt solutions and total pressures up to 10 MPa. Pitzer's(1) equations as well as the Chen and Evans(2) model were used to correlate the new data. Results are reported and compared to literature data and correlations. 相似文献