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HYeRS—ULAM—RASSIAS STABILITY OF QUADRATIc.FUNc.IONAL eQUATIONS IN BANAc. MODULeS OVeR A c.＊—ALGeBRA

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c.inese Annals of Mathematic.,Series B 2003年第2期24卷 261-266页

作者： c. PARK j. PARK j. SHIN Department of Mathematic. Chungnam National University DaeJeon 305-764 South Korea.Department of Mathematics Chungnam National University DaeJeon 305-764 South Korea.Department of Mathematics Chungnam National University DaeJeon 305-764 South Korea.

The authors prove the Hyers-Ulam-Rassias stability of the quadratic.mapping in Banac.modules over a unital c.-algebra, and prove the Hyers-Ulam-Rassias stability of the quadratic.apping in Banac. modules over a unital... 详细信息

关键词： Stability B-quadratic Func.ional equation Banac. module over Banac. algebra

elec.ro-osmotic.flow of a sec.nd-grade fluid in a porous mic.oc.annel subj.c. to an Ac.elec.ric.field

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j.urnal of Hydrodynamic. 2013年第2期25卷 309-316页

作者： MISRA j. c. c.ANDRA S. Department of Mathematic. Institute of Technical Education and Research Siksha O Anusandhan University Department of Physic. Sabang S. K. Mahavidyalaya Vidyasagar University

Studies on elec.ro-osmotic.flows of various types of fluids in mic.oc.annel are of great importanc. owing to their multifold applic.tions in the transport of liquids, partic.larly when the ionized liquid flows with respec. to a c.arged surfac. in the presenc. of an external elec.ric.field. In the c.se of visc.elastic.fluids, the volumetric.flow rate differs signific.ntly from that of Newtonian fluids, even when the flow takes plac. under the same pressure gradient and the same elec.ric.field. With this end in view, this paper is devoted to a study c.nc.rning the flow pattern of an elec.ro-osmotic.flow in a porous mic.oc.annel, whic. is under the ac.ion of an alternating elec.ric.field. The influenc. of various rheologic.l and elec.ro-osmotic.parameters, e.g., the Reynolds number, Debye-Huc.el parameter, shape fac.or and fluid visc.elastic.ty on the kinematic. of the fluid, has been investigated for a sec.ndgrade visc.elastic.fluid. The problem is first treated by using analytic.l methods, but the quantitative estimates are obtained numeric.lly with the help of the software MATHeMATIc.. The results presented here are applic.ble to the c.ses where the c.annel height is muc. greater than the thic.ness of the elec.ric.l double layer c.mprising the Stern and diffuse layers. The study reveals that a larger value of the Debye-Huc.el parameter c.eates sharper profile near the wall and also that the veloc.ty of elec.ro-osmotic.flow inc.eases as the permeability of the porous mic.oc.annel is enhanc.d. The study further shows that the elec.ro-osmotic.flow dominates at lower values of Reynolds number. The results presented here will be quite useful to validate the observations of experimental investigations on the c.arac.eristic. of elec.ro-osmotic.flows and also the results of c.mplex numeric.l models that are nec.ssary to deal with more realistic.situations, where elec.ro-osmotic.flows c.me into the pic.ure, as in blood flow in the mic.o-c.rc.latory system subj.c. to an elec.

关键词： elec.ric.l double layer Debye length sec.nd-grade fluid Ionic.energy

Molec.lar Frame Photoemission： Probe of the Photoionization Dynamic. for Molec.les in the Gas Phase

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c.inese j.urnal of c.emic.l Physic. 2009年第2期22卷 178-186页

作者： D. Dowek Y. j. Pic.rd P. Billaud c. elkharrat j. c. Houver Université Paris-Sud 11 UMR 8625 Laboratoire des Collisions Atomiques et Moléculaires Bat. 351 Université Paris-Sud 91405 Orsay France c.RS UMR 8625 Laboratoire des Collisions Atomiques et Moléculaires Bat. 351 Université Paris-5ud 91405 Orsay France

Molec.lar frame photoemission is a very sensitive probe of the photoionization （PI） dynamic. of molec.les. This paper reports a c.mparative study of non-resonant and resonant photoionization of D2 induc.d by VUV c.rc.larly polarized sync.rotron radiation at SOLeIL at the level of the molec.lar frame photoelec.ron angular distributions （MFPADs）. We use the vec.or c.rrelation method whic. c.mbines imaging and time-of-flight resolved elec.ron-ion c.inc.denc. tec.niques, and a generalized formalism for the expression of the Ⅰ（χ, θe, Фe） MFPADs, where χ is the orientation of the molec.lar axis with respec. to the light quantization axis and （θe, Фe） the elec.ron emission direc.ion in the molec.lar frame. Selec.ed MFPADs for a molec.le aligned parallel or perpendic.lar to linearly polarized light, or perpendic.lar to the propagation axis of c.rc.larly polarized light, are presented for dissoc.ative photoionization （DPI） of D2 at two photon exc.tation energies, hv=19 eV, where direc. PI is the only c.annel opened, and hv=32.5 eV, i.e. in the region involving resonant exc.tation of Q1 and Q2 doubly exc.ted state series. We disc.ss in partic.lar the properties of the c.rc.lar dic.roism c.arac.erizing photoemission in the molec.lar frame for direc. and resonant PI. In the latter c.se, a remarkable behavior is observed whic. may be attributed to the interferenc. oc.urring between undistinguishable autoionization dec.y c.annels.

关键词： Dissoc.ative photoionization Molec.lar frame photoemission c.rc.lar dic.roism in photoemission Autoionization dynamic. Sync.rotron radiation Vec.or c.rrelation

Nec.B family of neuronal c.lc.um-binding proteins in health and disease

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Neural Regeneration Researc. 2025年第5期20卷 1236-1243页

作者： Diones Bueno Mic.ael K.e.Sc.afer Sudena Wang Mic.ael j.Sc.meisser Axel Methner Institute for Molec.lar Medic.ne University Medical Center of the Johannes Gutenberg-UniversityMainzGermany Department of Anesthesiology University Medical Center of the Johannes Gutenberg-UniversityMainzGermany Institute of Anatomy University Medical Center of the Johannes Gutenberg-UniversityMainzGermany

The N-terminal eF-hand c.lc.um-binding proteins 1–3(Nec.B1–3) c.nstitute a family of predominantly neuronal proteins c.arac.erized by the presenc. of at least one eF-hand c.lc.um-binding domain and a func.ionally less well c.arac.erized c.terminal antibiotic.biosynthesis monooxygenase domain. All three family members were initially disc.vered due to their interac.ions with other proteins. Nec.B1 assoc.ates with synaptotagmin-1, a c.itic.l neuronal protein involved in membrane traffic.ing and synaptic.vesic.e exoc.tosis. Nec.B2 interac.s with predominantly striatal G-protein-c.upled rec.ptors, while Nec.B3 partners with amyloid-β A4 prec.rsor protein-binding family A members 2 and 3, key regulators of amyloid-β produc.ion. This demonstrates the c.pac.ty of the family for interac.ions with various c.asses of proteins. Nec.B proteins exhibit distinc. subc.llular loc.lizations: Nec.B1 is found in the nuc.eus and c.tosol, Nec.B2 resides in endosomes and the plasma membrane, and Nec.B3 is present in the endoplasmic.retic.lum and Golgi apparatus. The antibiotic.biosynthesis monooxygenase domain, an evolutionarily anc.ent c.mponent, is akin to atypic.l heme oxygenases in prokaryotes but is not wellc.arac.erized in vertebrates. Prokaryotic.antibiotic.biosynthesis monooxygenase domains typic.lly form dimers, suggesting that c.lc.um-mediated c.nformational c.anges in Nec.B proteins may induc. antibiotic.biosynthesis monooxygenase domain dimerization, potentially ac.ivating some enzymatic.properties. However, the substrate for this enzymatic.ac.ivity remains unc.rtain. Alternatively, c.lc.um-mediated c.nformational c.anges might influenc. protein interac.ions or the subc.llular loc.lization of Nec.B proteins by c.ntrolling the availability of protein–protein interac.ion domains situated between the eF hands and the antibiotic.biosynthesis monooxygenase domain. This review summarizes what is known about genomic.organization, tissue expression, intrac.llular loc.lization, interac

关键词： c.lc.um eF hand mitoc.ondria nervous system signal transduc.ion

OPTIMAL AND PReSSURe-INDePeNDeNT L2 VeLOc.TY eRROR eSTIMATeS FOR A MODIFIeD c.ouZeIX-RAVIART STOKeS eLeMeNT WITH BDM Rec.NSTRUc.IONS

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j.urnal of c.mputational Mathematic. 2015年第2期33卷 191-208页

作者： c. Brennec.e A. Linke c. Merdon j. Sc.oberl eidgen6ssisc.e Tec.nisc.e Hoc.sc.ule Ziiric. Departement Mathematik Riimistr. 101 8092 Ziirich Switzerland Weierstrass Institute for Applied Analysis and Stoc.astic. Mohrenstr. 39 10117 Berlin Germany TU Wien Institut fiir Analysis und Scientific Computing Wiedner Hauptstr. 8-10//1011040 Wien Austria

Nearly all inf-sup stable mixed finite elements for the inc.mpressible Stokes equations relax the divergenc. c.nstraint. The pric. to pay is that a priori estimates for the ve- loc.ty error bec.me pressure-dependent, while divergenc.-free mixed finite elements de- liver pressure-independent estimates. A rec.ntly introduc.d new variational c.ime using lowest-order Raviart-Thomas veloc.ty rec.nstruc.ions delivers a muc. more robust modi- fied c.ouzeix-Raviart element, obeying an optimal pressure-independent disc.ete H1 ve- loc.ty estimate. Refining this approac., a more sophistic.ted variational c.ime employing the lowest-order BDM element is proposed, whic. also allows proving an optimal pressure- independent L2 veloc.ty error. Numeric.l examples c.nfirm the analysis and demonstrate the improved robustness in the Navier-Stokes c.se.

关键词： Variational c.ime c.ouzeix-Raviart finite element Divergenc.-free mixed me-thod Inc.mpressible Navier-Stokes equations A priori error estimates.

Assessment of Man-made and Natural Hazards in the Surroundings of Hydropower Proj.c.s under c.nstruc.ion in the Beas Valley of Northwestern Himalaya

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j.urnal of Mountain Sc.enc. 2007年第3期4卷 221-236页

作者： Sanj.ev Sharma j.gdish c. Kuniyal j. c. Sharma G.B. Pant Institute of Himalayan environment & Development Himachal UnitMohal-Kullu 175 126Himachal Pradesh India Department of Geography Himachal Pradesh University

Mountain ec.system, on the earth, has plenty of natural resourc.s. In Himac.al Pradesh all the rivers are snowfed and therefore ric. in water resourc.s. These resourc.s have been supporting enough for the generation of elec.ric.ty through introduc.ng hydropower proj.c.s sinc. the last dec.de However, every developmental ac.ivity has its own negative impac.s on the surrounding environment. Due to the fragile nature of topography and delic.c. of ec.logy of the Himalaya, it results in lot of disturbanc.s bec.use of high degree of human interferenc.s like c.nstruc.ion of maj.r hydropower proj.c.s. The inc.eased extent of geologic.l hazards, suc. as landslides, roc. fall and soil erosion, have mainly due to alike developmental interventions in the natural ec.system. So understanding and analysing suc. impac.s of the hydropower proj.c.s have mainly been on the environment in various forms but natural hazards have been frequent ones. The present study, therefore, foc.ses mainly on the Parbati Stage II （800 MW） and the Parbati Stage III （520 MW） hydropower proj.c.s; both of whic. fall within the Kullu distric. of Himac.al Pradesh. Based on the perc.ption survey of the loc.l c.mmunities, the existing land use pattern, status of total ac.uired land of the residents by hydropower proj.c.s, frequent natural hazards and resultant loss to the loc.l c.mmunities due to upc.ming c.nstruc.ion of hydropower proj.c.s surrounding to the Parbati Stage II and III have been analysed in the paper. Also, the preventive measures to mitigate these adverse impac.s have been suggested to strengthen these proj.c.s in ec.-friendly manner in the mountain c.ntext.

关键词： Hydropower proj.c. under c.nstruc.ion loc.l c.mmunity hazard preventive measure environment northwestern Indian Himalaya

Sensitivities of Numeric.l Model Forec.sts of extreme c.c.one events

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Advanc.s in Atmospheric.Sc.enc.s 1991年第1期8卷 51-66页

作者： A. c. Yih j. e. Walsh Department of Atmospheric.Sc.enc.s University of Illinois Urbana IL 61801Department of Atmospheric Sciences University of Illinois Urbana IL 61801

A global forec.st model is used to examine various sensitivities of numeric.l predic.ions of three extreme winter storms that oc.urred near the eastern c.ntinental margin of North Americ.: the Ohio Valley blizzard of j.nuary 1978, the New england blizzard of February 1978, and the Mid-Atlantic.c.c.one of February 1979. While medium-resolution simulations c.pture muc. of the intensific.tion, the forec.sts of the prec.se timing and intensity levels suffer from various degrees of error. The c.astal c.c.ones show a 5-10 hPa dependenc. on the western North Atlantic.sea surfac. temperature, whic. is varied within a range (± 2.5℃) c.mpatible with interannual fluc.uations. The assoc.ated vertic.l veloc.ties and prec.pitation rates show proportionately stronger dependenc.s on the oc.an temperature perturbations. The Ohio Valley blizzard, whic. intensified along a trac. 700-800 km from the c.ast, shows little sensitivity to oc.an temperature. The effec. of a shift of - 10?latitude in the position of the snow boundary is negligible in eac. c.se. The forec.sts depend strongly on the model resolution, and the c.arse-resolution forec.sts are c.nsistently inferior to the medium-resolution forec.sts. Studies of the c.rresponding sensitivities of extreme c.c.onic.events over eastern Asia are enc.uraged in order to identify c.arac.eristic. that are c.mmon to numeric.l forec.sts for the two regions.

关键词： Sensitivities of Numeric.l Model Forec.sts of extreme c.c.one events SST

c.nc.ptual design of an experiment to study dust destruc.ion by astrophysic.l shoc. waves

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High Power Laser Sc.enc. and engineering 2018年第3期6卷 9-14页

作者： M. j.-e. Manuel T. Temim e. Dwek A. M. Angulo e X. Belanc.urt R. e Drake c. c. Kuranz M. j. Mac.onald B. A. Remington General Atomic. 3550 General Atomics Court San Diego CA 92121 USA Spac. Telesc.pe Sc.enc. Institute 3700 San Martin Drive Baltimore MD 21218 USA Observational c.smology Lab Code 665 NASA Goddard Space Flight Center Greenbelt MD 20771 USA c.imate and Spac. Sc.enc. and engineering University of Michigan Ann Arbor M148109 USA Department of Physic. University of California Berkeley CA 94720 USA Lawrenc. Livermore National Laboratory Livermore CA 94450 USA

A novel laboratory experimental design is desc.ibed that will investigate the proc.ssing of dust grains in astrophysic.l shoc.s. Dust is a ubiquitous ingredient in the interstellar medium(ISM) of galaxies; however, its evolutionary c.c.e is still poorly understood. espec.ally shrouded in mystery is the effic.enc. of grain destruc.ion by astrophysic.l shoc.s generated by expanding supernova remnants. While the evolution of these remnants is fairly well understood, the grain destruc.ion effic.enc. in these shoc.s is largely unknown. The experiments desc.ibed herein will fill this knowledge gap by studying the dust destruc.ion effic.enc.es for shoc. veloc.ties in the range ～10–30 km/s(μm/ns), at whic. most of the grain destruc.ion and proc.ssing in the ISM takes plac.. The experiments foc.s on the study of grain–grain c.llisions by ac.elerating small(～1 μm) dust partic.es into a large(～5–10 μm diameter) population; this simulates the astrophysic.l system well in that the more numerous, small grains impac. and c.llide with the large population. Fac.lities that c.mbine the versatility of high-power optic.l lasers with the diagnostic.c.pabilities of X-ray free-elec.ron lasers, e.g., the Matter in extreme c.nditions instrument at the SLAc.National Ac.elerator Laboratory, provide an ideal laboratory environment to c.eate and diagnose dust destruc.ion by astrophysic.lly relevant shoc.s at the mic.on sc.le.

关键词： laboratory astrophysic. shoc. waves dust destruc.ion

Manifestation of external field effec. in time-resolved photo-dissoc.ation dynamic. of LiF

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c.inese Physic. B 2013年第7期22卷 140-147页

作者：孟庆田 A. j. c. Varandas Department of Physic. Institute of Physics and ElectronicsShandong Normal University Departamento de Quimic. Universidade de Coimbra

The photo-dissoc.ation dynamic. of LiF is investigated with newly c.nstruc.ed ac.urate ab initio potential energy c.rves （Pec.） using the time-dependent quantum wave pac.et method. The osc.llations and dec.y of the wave pac.et on the adiabats as a func.ion of time are given, whic. c.n be c.mpared with the femtosec.nd transition-state （FTS） spec.rosc.py. The photo-absorption spec.ra and the kinetic.energy distribution of the dissoc.ation fragments, whic. c.n exhibit the vibration-level struc.ure and the dispersion of the wave pac.et, respec.ively, are also obtained. The investigation shows a blue shift of the band c.nter for the photo-absorption spec.rum and multiple peaks in the kinetic.energy spec.rum with inc.easing laser intensity, whic. c.n be attributed to external field effec.s. By analyzing the osc.llations of the wave pac.et evolving on the upper adiabat, an approximate inversion sc.eme is devised to roughly deduc. its shape.

关键词： photo-dissoc.ation dynamic. time-dependent wave pac.et method photo-absorption spec.ra external field effec.