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1.
Abdelmajid Siai 《Potential Analysis》2006,24(1):15-45
Let Ω be an open bounded set in ℝN, N≥3, with connected Lipschitz boundary ∂Ω and let a(x,ξ) be an operator of Leray–Lions type (a(⋅,∇u) is of the same type as the operator |∇u|p−2∇u, 1<p<N). If τ is the trace operator on ∂Ω, [φ] the jump across ∂Ω of a function φ defined on both sides of ∂Ω, the normal derivative
∂/∂νa related to the operator a is defined in some sense as 〈a(⋅,∇u),ν〉, the inner product in ℝN, of the trace of a(⋅,∇u) on ∂Ω with the outward normal vector field ν on ∂Ω. If β and γ are two nondecreasing continuous real functions everywhere
defined in ℝ, with β(0)=γ(0)=0, f∈L1(ℝN), g∈L1(∂Ω), we prove the existence and the uniqueness of an entropy solution u for the following problem,
in the sense that, if Tk(r)=max {−k,min (r,k)}, k>0, r∈ℝ, ∇u is the gradient by means of truncation (∇u=DTku on the set {|u|<k}) and
, u measurable; DTk(u)∈Lp(ℝN), k>0}, then
and u satisfies,
for every k>0 and every
.
Mathematics Subject Classifications (2000) 35J65, 35J70, 47J05. 相似文献
2.
3.
Hamadi Jerbi Thouraya Kharrat Faouzi Omri 《Mediterranean Journal of Mathematics》2016,13(5):2507-2524
In this paper, we consider a class of bilinear systems in dimension three which can be an extension of another one in \({\mathbbm{R}^{2}}\). We prove that there exists some homogeneous feedback of degree zero stabilizing the considered class if and only if these feedbacks are constants. 相似文献
4.
The thermolysis of t-butyl perpent-4-enoate in ketones leads to the formation of 5-(α-alkanonyl) and 5-(α-cyclanonyl)-4-pentanolides with fairly good yields. 相似文献
5.
We report a new synthesis and our study of the mechanism of formation of substituted 1-trifluoromethyl and 1-perfluoroalkyl-3-(phenylamino)prop-2-en-1-one starting from 3-(R-phenoxy)-3-perfluoroalkyl-prop-2-enals and arylamines. Reactivity study of the intermediates confirmed that 3-perfluoroalkyl-N,N′-diphenyl-1,5-diazapentadienes are the synthetic intermediates of the synthesis of 2-perfluoroalkylquinolines. The mechanism of the reaction of 1-trifluoromethyl and 1-perfluoroalkyl-3-(phenylamino)prop-2-en-1-one with POCl3 was studied. To our knowledge this is the first detection and isolation of N,N′-diaryldiazapentadiene derivatives as intermediates in the Combes F-alkyl substituted quinoline synthesis starting from enaminoketones. Finally, we succeeded isolating and identifying unsymmetrically substituted 2-perfluorolakyldiazapentadiene. 相似文献
6.
Performance of a polymer flood process requires the knowledge of rheological behavior of the polymer solution and reservoir
properties such as rock wettability. To provide a better understanding of effects of polymer chemistry and wettability on
the performance of a polymer flood process, a comprehensive experimental study was conducted using a two-dimensional glass
micromodel. A series of water and polymer flood processes were carried out at different polymer molecular weights, degrees
of polymer hydrolysis, and polymer concentrations in both water-wet and oil-wet systems. Image processing technique was applied
to analyze and compare microscopic and macroscopic displacement behaviors of polymer solution in each experiment. From micro-scale
observations, the configuration of connate water film, polymer solution trapping, flow of continuous and discontinuous strings
of polymer solution, piston-type displacement of oil, snap-off of polymer solution, distorted flow of polymer solution, emulsion
formation, and microscopic pore-to-pore sweep of oil phase were observed and analyzed in the strongly oil-wet and water-wet
media. Rheological experiments showed that a higher polymer molecular weight, degree of hydrolysis, and concentration result
in a higher apparent viscosity for polymer solution and lower oil–polymer viscosity ratio. It is also shown that these parameters
have different impacts on the oil recovery in different wettabilities. Moreover, a water-wet medium generally had higher recovery
in contrast with an oil-wet medium. This experimental study illustrates the successful application of glass micromodel techniques
for studying enhanced oil recovery (EOR) processes in five-spot pattern and provides a useful reference for understanding
the displacement behaviors in a typical polymer flood process. 相似文献
7.
Novel Helmholtz-based photoacoustic sensor for trace gas detection at ppm level using GaInAsSb/GaAlAsSb DFB lasers 总被引:2,自引:0,他引:2
Mattiello M Niklès M Schilt S Thévenaz L Salhi A Barat D Vicet A Rouillard Y Werner R Koeth J 《Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy》2006,63(5):952-958
A new and compact photoacoustic sensor for trace gas detection in the 2-2.5 microm atmospheric window is reported. Both the development of antimonide-based DFB lasers with singlemode emission in this spectral range and a novel design of photoacoustic cell adapted to the characteristics of these lasers are discussed. The laser fabrication was made in two steps. The structure was firstly grown by molecular beam epitaxy then a metallic DFB grating was processed. The photoacoustic cell is based on a Helmholtz resonator that was designed in order to fully benefit from the highly divergent emission of the antimonide laser. An optimized modulation scheme based on wavelength modulation of the laser source combined with second harmonic detection has been implemented for efficient suppression of wall noise. Using a 2211 nm laser, sub-ppm detection limit has been demonstrated for ammonia. 相似文献
8.
Ali Maghzi Ali Mohebbi Riyaz Kharrat Mohammad Hossein Ghazanfari 《Transport in Porous Media》2011,87(3):653-664
It is well known that the oil recovery is affected by wettability of porous medium; however, the role of nanoparticles on wettability alteration of medium surfaces has remained a topic of debate in the literature. Furthermore, there is a little information of the way dispersed silica nanoparticles affect the oil recovery efficiency during polymer flooding, especially, when heavy oil is used. In this study, a series of injection experiments were performed in a five-spot glass micromodel after saturation with the heavy oil. Polyacrylamide solution and dispersed silica nanoparticles in polyacrylamide (DSNP) solution were used as injected fluids. The oil recovery as well as fluid distribution in the pores and throats was measured with analysis of continuously provided pictures during the experiments. Sessile drop method was used for measuring the contact angles of the glass surface at different states of wettability after coating by heavy oil, distilled water, dispersed silica nanoparticles in water (DSNW), polyacrylamide solution, and DSNP solution. The results showed that the silica nanoparticles caused enhanced oil recovery during polymer flooding by a factor of 10%. The distribution of DSNP solution during flooding tests in pores and throats showed strong water-wetting of the medium after flooding with this solution. The results of sessile drop experiments showed that coating with heavy oil, could make an oil-wet surface. Coating with distilled water and polymer solution could partially alter the wettability of surface to water-wet and coating with DSNW and DSNP could make a strongly water-wet surface. 相似文献
9.
NMR Spectroscopic Assignment of Backbone and Side‐Chain Protons in Fully Protonated Proteins: Microcrystals,Sedimented Assemblies,and Amyloid Fibrils 下载免费PDF全文
Dr. Jan Stanek Dr. Loren B. Andreas Dr. Kristaps Jaudzems Dr. Diane Cala Dr. Daniela Lalli Andrea Bertarello Dr. Tobias Schubeis Dr. Inara Akopjana Dr. Svetlana Kotelovica Prof. Kaspars Tars Dr. Andrea Pica Dr. Serena Leone Prof. Delia Picone Dr. Zhi‐Qiang Xu Prof. Nicholas E. Dixon Dr. Denis Martinez Mélanie Berbon Nadia El Mammeri Dr. Abdelmajid Noubhani Dr. Sven Saupe Dr. Birgit Habenstein Dr. Antoine Loquet Dr. Guido Pintacuda 《Angewandte Chemie (International ed. in English)》2016,55(50):15504-15509
We demonstrate sensitive detection of alpha protons of fully protonated proteins by solid‐state NMR spectroscopy with 100–111 kHz magic‐angle spinning (MAS). The excellent resolution in the Cα‐Hα plane is demonstrated for 5 proteins, including microcrystals, a sedimented complex, a capsid and amyloid fibrils. A set of 3D spectra based on a Cα–Hα detection block was developed and applied for the sequence‐specific backbone and aliphatic side‐chain resonance assignment using only 500 μg of sample. These developments accelerate structural studies of biomolecular assemblies available in submilligram quantities without the need of protein deuteration. 相似文献
10.
Substituted 3-phenoxy-3-perfluoroalkylprop-2-enals 3a-s are synthesized in high yields starting from a gem-iodoacetoxy derivative 1 and phenoxides 2. Then efficient syntheses of push-pull derivatives 4, 5,8a,b, and nonconjugated analogues 6 and 7 illustrate the synthetic potentialities of 3. Stereochemical studies of these perfluoroalkyl-containing trisubstituted olefinic derivatives 3-8b revealed that the (4)J(CF) coupling constant observed in the (13)C NMR spectra was crucial in the determination of their configurations and conformations in solution. The solvent polarity effect on the stereochemistry of push-pull compounds 3-5 and 8a,b was studied. Unusual significant medium polarity effect on the stereochemistry of imino enol ether derivative 4 was observed. 相似文献