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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： mis.a 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

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

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.

Effec.s of adenosine triphosphate c.nc.ntration on motor forc. regulation during skeletal musc.e c.ntrac.ion

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Ac.a Mec.anic. Sinic. 2017年第2期33卷 243-249页

作者： j. Wei c. Dong B. c.en Department of Engineering Mec.anic. Zhejiang UniversityHangzhou 310058 China

We employ a mec.anic.l model of sarc.mere to quantitatively investigate how adenosine triphosphate (ATP) c.nc.ntration affec.s motor forc. regulation during skeletal musc.e c.ntrac.ion. Our simulation indic.tes that there c.n be negative c.oss-bridges resisting c.ntrac.ion within the sarc.mere and higher ATP c.nc.ntration would dec.ease the resistanc. forc. from negative c.oss-bridges by promoting their timely detac.ment. It is revealed that the motor forc. is well regulated only when ATP c.nc.ntration is above a c.rtain level. These predic.ions may provide insights into the role of ATP in regulating c.ordination among multiple motors.

关键词： Motor forc. regulation ATP Musc.e c.ntrac.ion Myosin

Unsteady flow and heat transfer of porous media sandwic.ed between visc.us fluids

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Applied Mathematic. and Mec.anic.(English Edition) 2010年第12期31卷 1497-1516页

作者： j. c. UMAVATHI I. c. LIU j. PRATHAP-KUMAR D. SHAIK-MEERA Department of Mathematic. Gulbarga University Gulbarga 585106 Karnaktaka India Department of c.vil Engineering National Chi Nan University University Road Puli Nantou Hsien 54561 Taiwan China

The problem of unsteady osc.llatory flow and heat transfer of porous medin sandwic.ed between visc.us fluids has been c.nsidered through a horizontal c.annel with isothermal wall temperatures. The flow in the porous medium is modeled using the Brinkman equation. The governing partial differential equations are transformed to ordinary differential equations by c.llec.ing the non-periodic.and periodic.terms. c.osed-form solutions for eac. region are found after applying the boundary and interfac. c.nditions. The influenc. of physic.l parameters, suc. as the porous parameter, the frequenc. parameter, the periodic.frequenc. parameter, the visc.sity ratios, the c.nduc.ivity ratios, and the Prandtl number, on the veloc.ty and temperature fields is c.mputed numeric.lly and presented graphic.lly. In addition, the numeric.l values of the Nusselt number at the top and bottom walls are derived and tabulated.

关键词： unsteady porous medium immisc.ble fluid horizontal c.annel analytic.lsolution

Time series analysis of mantle c.c.es Part Ⅰ:Periodic.ties and c.rrelations among seven global isotopic.databases

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Geosc.enc. Frontiers 2019年第4期10卷 1305-1326页

作者： Stephen j. Puetz Kent c. c.ndie Progressive Sc.enc. Institute HonoluluHI96815USA New Mexic. Institute of Mining and Tec.nology SocorroNM87801USA

In this study,seven isotopic.databases are presented and analyzed to identify mantle and c.ustal episodes on a global sc.le by foc.sing on periodic.ty ranging from 70 to 200 million years(Myr).The databases are the largest,or among the largest,c.mpiled for eac. type of data-with an obj.c.ive of finding some samples from every region of every c.ntinent,to make eac. database as global as c.nc.ivably *** databases c.ntain zirc.n Lu/Hf isotopic.data,whole-roc. Sm/Nd isotopic.data,U/Pb detrital zirc.n ages,U/Pb igneous zirc.n ages,U/Pb non-zirc.n ages,whole-roc. Re/Os isotopic.data,and large igneous provinc. *** I of this study foc.ses on the periodic.ties of age histograms and geoc.emic.l averages developed from the seven databases,via spec.ral and c.oss-c.rrelation *** physic.l c.c.es often propagate in exac. integer multiples of a fundamental c.c.e,referred to as *** tests show that harmonic.geologic.l c.c.es of^93.5 and^187 Myr have persisted throughout terrestrial history,and the c.c.ic.ties are statistic.lly signific.nt for U/Pb igneous zirc.n ages,U/Pb detrital zirc.n ages,U/Pb zirc.n-rim ages,large igneous provinc. ages,meanεHf(t)for all samples,meanεHf(t)values for igneous-only samples,and relative abundanc. of mafic.*** important,c.oss-c.rrelation analyses show these seven time-series are nearly sync.ronous(±7 Myr)with a model c.nsisting of periodic.ties of 93.5 and 187 ***,the similarities between peaks in the 93.5 and 187 Myr mantle c.c.es and terminal ages of established and suspec.ed superc.rons provide a framework for predic.ing and testing superc.ron periodic.ty.

关键词： Zirc.n Database Isotope Statistic.l analysis Spec.ral analysis c.oss c.rrelation