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On Some Elliptic Problems in Unbounded Domains

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Chinese Annals of Mathematics,Series B 2018年第3期39卷 597-606页

作者： michel CHIPOT Dedicated to Philippe G. Ciarlet on the occasion of his 80th birthda

The author presents a method allowing to obtain existence of a solution for some elliptic problems set in unbounded domains,and shows exponential rate of convergence of the approximate solution toward the solution.

关键词： Elliptic Exponential convergence Unbounded domains

A new family of carbonaceous cathodes for rechargeable batteries through electronic structure tuning engineering

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National Science Review 2021年第2期8卷 7-8页

作者： michel Armand Centre for Cooperative Research on Alternative Energies Basque Research and Technology Alliance

Electric vehicles(EVs) and grid storage for renewable energies will require batteries in tens of millions of tons, and thus they need to be sustainable. EVs call also for batteries with higher energy density than currently available, and this value is intrinsically limited by the properties of the transition metal oxide(TMO) cathodes [1]. There are two possible strategies to overcome these limitations: i) increase the operating voltage in the >4.4 V range; and ii) attempt to use more than one electron per transition metal [2]. The first strategy faces problems of electrolyte stability limit and oxygen evolution, and thus safety hazards. The second is limited to vanadium and nickel, but using only1.3 electrons for the former,

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Complete Coulomb stress changes induced by the Ms7.6 earthquake in Lancang-Gengma, Yunnan and triggering of aftershocks by dynamic and static stress

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Science China Earth Sciences 2007年第11期50卷 1655-1662页

作者： michel BOUCHON Université Joseph Fourier F38041 Grenoble France

The spatiotemporal evolution patterns of complete Coulomb stress changes caused by 1988 Ms7.6 earthquake in Lancang-Gengma, Yunnan, are calculated and studied. And the triggering problems of Ms7.2 Gengma shock occurring 13 minutes after the main shock and of Ms5.0―6.9 aftershocks within 24 days after the main shock are discussed. The results show that the spatial distribution patterns of complete Coulomb stress changes of the Ms7.6 main shock are strongly asymmetric. The areas of positive dynamic and static Coulomb stress are both coincident well with the strong aftershocks' loca-tions. The Ms7.2 Gengma shock and most of strong aftershocks are subjected to the triggering effect of dynamic and static Coulomb stresses induced by the Ms7.6 Lancang earthquake.

关键词： complete Coulomb stress changes,dynamic and static stress triggering,earthquakes in Yunnan

New Partial Geometric Difference Sets and Partial Geometric Difference Families

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Acta Mathematica Sinica,English Series 2017年第5期33卷 591-606页

作者： Jerod michel School of Mathematical Sciences Zhejiang University Hangzhou 310027 P. R. China

Using Galois rings and Galois fields, we construct several infinite classes of partial geometric difference sets, and partial geometric difference families, with new parameters. Furthermore, these partial geometric difference sets(and partial geometric difference families) correspond to new infinite families of directed strongly regular graphs. We also discuss some of the links between partially balanced designs, 2-adesigns(which were recently coined by Cunsheng Ding in "Codes from Difference Sets"(2015)), and partial geometric designs, and make an investigation into when a 2-adesign is a partial geometric design.

关键词： Partial geometric design cyclotomic class directed strongly regular graph partial geometric difference set partial geometric difference family

Conodont evolution and stratotype sign of carboniferous Tournaisian-Visean boundary in South China

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Science China Earth Sciences 2005年第12期48卷 2131-2141页

作者： michel Coen Louvian University of Belgium B-1348 Louvian-la-Neuve Belgium

A stratotype section, boundary point and conodont sign have been recommended for GSSP of the Tournaisian-Visean boundary, based on studies of sectional sedimentology, conodont facies and phylogeneses in South China. Two areas representing margin and inner of the Yangtzi Plate and three sections of different facies were chosen, i.e. the Longdianshan sec-tion of the platform facies in Liuzhou of Guangxi, the Yudong section of the ramp facies in Shidian of Yunnan and the Pengchong section of the basin facies in Liuzhou of Guangxi. Stratigraphic frameworks of two areas were set up by systematical studies of carbonate facies and cycles. Conodont facies-distribution and paleoecologic conditions were researched on statistics of fossil variation and richness, and a kind of planktonic conodont, gnathodids that were widespread, is chosen to select the sign-fossil from it. Seven conodont pedigrees were supplemented or erected by studies of statistics and transitional forms. Conodont evolution in the Early Carboniferous could be divided into three stages, i.e. the Siphonodella stage, the Gnathodus typicus stage and the Gnathodus bilineatus stage. The transform-surface between the later two stages could be put as the Tournaisian-Visean boundary. Finally, this paper proposes that the Pengchong section can be the stratotype candidate of the Tournaisian-Visean boundary, the boundary point be put at the bottom of bed 58 and the stratotype sign of conodont be the first occurrence of Gnathodus praebilineatus of the Gnathodus semiglaber branch.

关键词： Tournaisian-Visean boundary, global stratotype, conodont evolution.

Which algebraic groups are Picard varieties?

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Science China Mathematics 2015年第3期58卷 461-478页

作者： BRION michel Institut Fourier Universit'e de Grenoble

We show that every connected commutative algebraic group over an algebraically closed field of characteristic 0 is the Picard variety of some projective variety having only finitely many non-normal *** contrast,no Witt group of dimension at least 3 over a perfect field of prime characteristic is isogenous to a Picard variety obtained by this construction.

关键词： algebraic group Picard variety pinching

On the Order of Magnitude of the Divisor Function

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Acta Mathematica Sinica,English Series 2006年第2期22卷 377-382页

作者： michel WEBER Mathmatique Universit Louis-Pasteur et G.N.R.S.7 rue Rene Descartes. 67084-Strasbourg Cedex France

Let D be an increasing sequence of positive integers, and consider the divisor functions：d（n, D） =∑d｜n,d∈D,d≤√n1, d2（n,D）=∑[d,δ]｜n,d,δ∈D,[d,δ]≤√n1,where [d,δ]=1.c.m.（d,δ）. A probabilistic argumen... 详细信息

关键词： Divisor function Prime divisors Bernoulli random walk

New results on the hadronic vacuum polarization contribution to the muon g-2

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Chinese Physics C 2010年第6期34卷 718-727页

作者： michel Davier Laboratoire de l'Acclrateur Linaire IN2P3/CNRSUniversit Paris-Sud 11

Results on the lowest-order hadronic vacuum polarization contribution to the muon magnetic anomaly are presented. They are based on the latest published experimental data used as input to the dispersion integral. Thus recent results on τ→υτππ^0 decays from Belle and on e^＋e^- annihilation to π^＋π^- from BABAR and KLOE are included. The new data, together with improved isospin-breaking corrections for τ decays, result into a much better consistency among the different results. A discrepancy between the Standard Model prediction and the direct g- 2 measurement is found at the level of 3σ.

关键词： muon magnetic moment vacuum polarization electron-positron annihilation tau decays g-2

Predicting 2D silicon allotropes on SnS2

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Nano Research 2017年第5期10卷 1697-1709页

作者： Emilio Scalise michel Houssa Max-Planck-lnstitut fur Eisenforschung GmbH Max-Planck-StraBe 1 40237 Dusseldorf Germany Semiconductor Physics Laboratory Department of Physics and Astronomy University of Leuven Celestijnenlaan 200 D B-3001 Leuven Belgium

A first principles study on the stability and structural and electronic properties of two-dimensional silicon allotropes on a semiconducfing layered metal-chalcogenide compound, namely SnS2, is performed. The interactions between the two- dimensional silicon layer, commonly known as silicene, and the layered SnS2 template are investigated by analyzing different configurations of silicene. The calculated thermodynamic phase diagram suggests that the most stable configuration of silicene on SnS2 belongs to a family of structures with Si atoms placed on three different planes; so-called dumbbell silicene. This particular dumbbell silicene structure preserves its atomic configuration on SnS2 even at a temperature of 500 K or as a ＂flake＂ layer （i.e., a silicene cluster terminated by H atoms）, thanks to the weak interactions between the silicene and the SnS2 layers. Remarkably, an electric field can be used to tune the band gap of the silicene layer on SnS2, eventually changing its electronic behavior from semiconducting to （semi）metallic. The stability of silicene on SnS2 is very promising for the integration of silicene onto semiconducting or insulating substrates. The tunable electronic behavior of the silicene/SnS2 van der Walls heterostructure is very important not only for its use in future nanoelectronic devices, but also as a successful approach to engineering the bang-gap of layered SnS2 paving the way for the use of this layered compound in energy harvesting applications.

关键词： silicene tin sulfide van der Waals (vdW)heterostructure dumbbell chalcogenide