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Pressure Boundary Conditions for Blood Flows

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Chinese Annals of Mathematics,Series B 2015年第5期36卷 829-842页

作者： Kirill P.GOSTAF Olivier PIRONNEAU Department of Mathematics Simon Fraser University Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie

Simulations of blood flows in arteries require numerical solutions of fluidstructure interactions involving Navier-Stokes equations coupled with large displacement visco-elasticity for the *** the various simplifications which have been proposed, the surface pressure model leads to a hierarchy of simpler models including one that involves only the pressure. The model exhibits fundamental frequencies which can be computed and compared with the pulse. Yet unconditionally stable time discretizations can be constructed by combining implicit time schemes with Galerkin-characteristic discretization of the convection terms in the Navier-Stokes equations. Such problems with prescribed pressure on the walls will be shown to be efficient and accurate as an approximation of the full fluid structure interaction problem.

关键词：压力边界条件 Navier-Stokes 流体-结构相互作用血流量 Galerkin 流体结构相互作用斯托克斯方程简单模型

Competitive Contribution of Catalyst and Adsorption Roles of TiO_2 on the Degradation of AO7 Dye During Plasma Treatment

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Plasma Science and Technology 2013年第9期15卷 915-922页

作者： Nabila HADDOU Moufok Redounae GHEZZAR Fatiha ABDELMALEK Stephanie OGNIER Ahmed ADDOU Laboratory of Science and Technical Environment and Valorization University of Mostaganem Laboratory of Process Engineering and Surface Treatment National School of ChemistryUniversity of Pierre and Marie Curie

In order to investigate the role of TiO2 during plasma treatment, the degradation of the dye AO7 has been studied by gliding arc discharge in the presence of a TiO2 catalyst （CGAD）. The results revealed that the adsorption of the dye on TiO2 is a physical adsorption in accordance with Langmuir isotherm, with a constant of adsorption KL ： 0.52 mg/L and a maximum adsorption capacity b = 18.1 mg/g. The temperature variation of the reaction medium made it possible to consider thermodynamic parameters. Indeed, the adsorption is exothermic （enthalpy： △H 〈 0）, and spontaneous （free enthalpy： △G 〈 0）. The negative entropy （△S 〈 0） confirms the affinity of the dye molecules for TiO2. 20 min of CGAD treatment in the pres- ence of an optimal quantity of TiO2 （2 g/L enabled us to bleach the solution of AO7 （100 μM） completely. The discoloration rate with and without the addition of TiO2 was 100% and 28%, respectively. 40 additional minutes of treatment allowed a total abatement of the chemical oxy- gen demand. The elimination of AO7 molecules during the plasma-catalytic treatment follows Langmuir-Hinshelwood （L-H） model kinetics. According to this model, the speed constant is kr = 14.97 mg-L-1 ·min-1 and the adsorption coefficient is KL-H= 0.010 L/mg. The latter being negligible compared to kr, adsorption is therefore weakly performed during the plasma treatment.

关键词： adsorption catalysis AO7 gliding arc discharge TiO_2 degradation

Deep inside molecules-digital twins at the nanoscale

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Virtual Reality & Intelligent Hardware 2022年第4期4卷 324-341页

作者： Marc BAADEN CNRS Universitéde ParisUPR 9080Laboratoire de Biochimie Théorique13 rue Pierre et Marie CurieF-75005ParisFrance Institut de Biologie Physico-Chimique-Fondation Edmond de Rothschild ParisFrance

Background Digital twins offer rich potential for exploration in virtual reality(VR).Using interactive molecular simulation approaches,they enable a human operator to access the physical properties of molecular objects and to build,manipulate,and study their *** modeling and drug design are important applications of this *** In this study,head-mounted virtual reality displays connected to mole-cular simulation engines were used to create interactive and immersive digital *** were used to perform tasks relevant to specific use *** Three areas were investigated,including model building,rational design,and tangible ***,we report several membrane-embedded systems of ion channels,viral com-ponents,and artificial water *** were able to improve and create molecular designs based on digital *** The molecular application domain offers great opportunities,and most of the technical and tech-nological aspects have been *** adoption is expected once the onboarding of VR is simplified and the technology gains wider acceptance.

关键词： Digital twins Molecular simulation Virtual reality

Neutron diffraction studies on ‘‘simple'' iron oxides under pressure: Fe_3O_4, a-Fe_2O_3, and FeO

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Chinese Science Bulletin 2014年第36期59卷 5241-5250页

作者： Stefan Klotz IMPMC CNRS UMR 7590 Universite' Pierre & Marie Curie75252 Paris France

Fe3O4(magnetite), a-Fe2O3(hematite), and Fe O(wu¨ stite) are the three major iron oxides and some of the most fundamental solids in nature. Interest in these systems is due to their abundance as minerals in the Earth and other telluric planets as well as their interesting electronic and magnetic properties which have been studied for decades. In this article, we review high-pressure studies on these three systems using neutron powder diffraction in the0–14 GPa range with a particular focus on the behavior of magnetism under pressure. Unpublished data on the pressure dependence of the Ne′el temperature in Fe O are presented. This review will give at the same time an introduction into technical aspects and illustrate the potential of high-pressure neutron scattering in the future.

关键词：四氧化三铁 α-氧化铁中子衍射 α-Fe2O3 磁压力 FeO 中子散射磁铁矿

ASYMPTOTIC ANALYSIS OF LINEARLY ELASTIC SHALLOW SHELLS WITH VARIABLE THICKNESS

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Chinese Annals of Mathematics,Series B 2001年第4期22卷 405-416页

作者： N. SABU Laboratoire d’Analyse Numerique, Universite pierre et marie curie, 4 Place Jussieu, 75005, Paris, France.E-mail: sabu@ann.jussieu.fr Laboratoire d'Analyse Numerique Université Pierre et Marie Curie 4 Place Jussieu 75005 Paris France

The author considers a linearly elastic shallow shell with variable thickness and shows that, as the thickness of the shell goes to zero, the solution of the three-dimensional equations converges to the solution of th... 详细信息

关键词：渐近分析线性弹性浅壳体可变厚度收敛性

Anatomy of a eustatic event during the Turonian (Late Cretaceous) hot greenhouse climate

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Science China Earth Sciences 2017年第1期60卷 20-29页

作者： Bilal U. HAQ Brian T. HUBER Department of Paleobiology MRC-121Smithsonian InstitutionWashington D C 20013USA Sorbonne ISTEP Pierre&Marie Curie UniversityParis 75005France

Sequence stratigraphic studies consider relative change in sea level(as regulated by eustasy,local tectonics and sediment supply)as the main builder of the stratigraphic *** has generally been considered as a consequence of the growth and decay of continental ice sheets that would explain large,rapid changes in sea level,even during periods of relative global climatic ***,such a mechanism has become increasingly difficult to envision during times of extreme global warmth such as the Turonian,when the equator-to-pole temperature gradient was very low and the presence of polar ice seems *** paper investigates the timing and extent of sea level falls during the late Cenomanian through Turonian,especially the largest of those events,sequence boundary KTu4,which occurred during the middle to late Turonian peak of the Cretaceous hot greenhouse *** conclude that the amplitude of the widespread third-order sea level fall in the middle Turonian that is centered at^91.8 Ma varies at different locations depending on the influence of dynamic topography on local tectonics and regional climatic *** volume variations seem unlikely as a mechanism for controlling sea level at this ***,this causal factor cannot be ruled out completely since Antarctic highlands(if they existed in the Late Cretaceous)could sequester enough water as ice to cause eustatic *** ascertain this requires detailed tomographic imaging of Antarctica,followed by geodynamic modeling,to determine whether high plateaus could have existed to accumulate ephemeral ice *** mechanisms for sea level change,such as transference between ground water(a small amplitude shorter time scale effect)and the ocean and entrainment and release of water from the mantle to the oceanic reservoir(a potentially large amplitude and longer time scale process),are intriguing and need to be explored further to prove their efficacy at third-order time scales.

关键词：海面升降的事件 Turonian 热温室气候

Temperature dependence of parametric instabilities in the context of the shock-ignition approach to inertial confinement fusion

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High Power Laser Science and Engineering 2015年第1期3卷 51-63页

作者： S.Weber C.Riconda Institute of Physics of the ASCR ELI-Beamlines LULI Sorbonne Universités - Université Pierre et Marie Curie - Ecole Polytechnique - CNRS - CEA

The role of the coronal electron plasma temperature for shock-ignition conditions is analysed with respect to the dominant parametric processes: stimulated Brillouin scattering, stimulated Raman scattering, two-plasmon decay(TPD), Langmuir decay instability(LDI) and cavitation. TPD instability and cavitation are sensitive to the electron temperature. At the same time the reflectivity and high-energy electron production are strongly affected. For low plasma temperatures the LDI plays a dominant role in the TPD saturation. An understanding of laser–plasma interaction in the context of shock ignition is an important issue due to the localization of energy deposition by collective effects and hot electron *** in turn can have consequences for the compression phase and the resulting gain factor of the implosion phase.

关键词： inertial confinement fusion shock ignition laser–plasma interaction parametric instabilities

INEQUALITY OF KORN'S TYPE ON COMPACT SURFACES WITHOUT BOUNDARY

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Chinese Annals of Mathematics,Series B 2003年第2期24卷 191-204页

作者： S.MARDARE Laboratoire Jacques-Louis Lions Universite Pierre et Marie Curie4 Place Jussieu75005 ParisFrance.

Inequalities of Korn's type on a surface with boundary have been proved in many papersusing different techniques (see e.g. [4, 5, 11]). The author proves here an inequality of Korn'stype on a compact surface without boundary. The idea is to use a finite number of maps fordefining the surface and the inequality of Korn's type without boundary conditions for everymap and to recast these in a general functional analysis setting about quotient spaces.

关键词： Korn型不等式紧曲面边界映射 Sobolev空间线性弹性壳 Koiter模型泛函分析范数

EXISTENCE OF MINIMIZING SOLUTIONSAROUND“EXTENDED STATES”FOR A NONLINEARLY ELASTICCLAMPED PLANE MEMBRANE

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Chinese Annals of Mathematics,Series B 1999年第3期20卷 279-296页

作者： D. COUTAND(university of pierre et marie curie, Laboratoire d’Analyse Numerique, 4, Place Jussieu, 75005 Paris,France. E-mail: coutand@ann.jussieu.fr) Université of pierre et marie curie Laboratoire d'Analyse Numérique 4 Place Jussieu 75005 Paris France

The formal asymptotic analysis of D. Fox, A. Raoult & J.C. Simo[10] has justified the twodimensional nonlinear "membrane" equations for a plate made of a Saint Venant-Kirchhoff *** model, which retains the material-frame indifference of the original three dimensional problem in the sense that its energy density is invariant under the rotations of R3, is equivalent to finding the critical points of a functional whose nonlinear part depends on the first fundamental form of the unknown deformed *** author establishes here, by the inverse function theorem, the existence of an injective solution to the clamped membrane problem around particular forces corresponding physically to an "extension" of the membrane. Furthermore, it is proved that the solution found in this fashion is also the unique minimizer to the nonlinear membrane functional, which is not sequentially weakly lower semi-continuous.

关键词：存在性最小参数值非线性弹性平面膜非线性方程