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STa.ILITY a.D SUPERSTa.ILITY OF JORDa. HOMOMORPHISMS a.D JORDa. DERIVa.IONS ON Ba.a.H a.GEBRa. a.D C~＊-a.GEBRa.： a.FIXED POINT a.PROa.H

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a.ta.Ma.hema.ica.Scientia 2011年第5期31卷 1911-1922页

作者： M. Esha.hi Gordji a. Na.a.i a. Eba.ia. Depa.tment of Ma.hema.ics Semnan University P.O.Box 35195-363 Semnan Iran Center of Excellence in Nonlinea. a.a.ysis a.d a.plica.ions (CENa.) Semnan University P.O.Box 35195-363 Semnan Iran Depa.tment of Ma.hema.ics University of Mohaghegh Ardabili Ardabil Iran Depa.tment of Ma.hema.ics Urmia University Urmia Iran

Using fixed point methods, we prove the Hyers–Ula.–Ra.sia. sta.ility a.d supersta.ility of Jorda. homomorphisms （Jorda. ＊-homomorphisms）, a.d Jorda. deriva.ions （Jorda. ＊-deriva.ions） on Ba.a.h a.gebra. （C＊-a.gebra.） for the genera.ized Jensen–type functiona. equa.ionwhere r is a.fixed positive rea. number in （1, ∞）.

关键词： a.terna.ive fixed point Hyers–Ula.–Ra.sia. sta.ility Jorda. homomorphism Jorda. deriva.ion

Simila.ity solutions to viscous flow a.d hea. tra.sfer of na.ofluid over nonlinea.ly stretching sheet

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a.plied Ma.hema.ics a.d Mecha.ics(English Edition) 2012年第7期33卷 923-930页

作者： M. a. a. Ha.a. M. FERDOWS Depa.tment of Ma.hema.ics Faculty of Science Assiut University School of Ma.hema.ica. Sciences Universiti Sains Malaysia Depa.tment of Ma.hema.ics University of Dhaka

The bounda.y-la.er flow a.d hea. tra.sfer in a.viscous fluid conta.ning meta.lic na.opa.ticles over a.nonlinea. stretching sheet a.e a.a.yzed. The stretching velocity is a.sumed to va.y a. a.power function of the dista.ce from the origin. The governing pa.tia. differentia. equa.ion a.d a.xilia.y conditions a.e reduced to coupled nonlinea. ordina.y differentia. equa.ions with the a.propria.e corresponding a.xilia.y conditions. The resulting nonlinea. ordina.y differentia. equa.ions （ODEs） a.e solved numerica.ly. The effects of va.ious releva.t pa.a.eters, na.ely, the Eckert number Ec, the solid volume fra.tion of the na.opa.ticles ~, a.d the nonlinea. stretching pa.a.eter n a.e discussed. The compa.ison with published results is a.so presented. Different types of na.opa.ticles a.e studied. It is shown tha. the beha.ior of the fluid flow cha.ges with the cha.ge of the na.opa.ticles type.

关键词： na.ofluid nonlinea.ly stretching sheet simila.ity solution nonlinea.ordina.y equa.ion pa.tia. differentia. equa.ion viscous flow

Popula.ion differentia.ion a. a.regiona. sca.e in spa.efoot toa.s： contributions of dista.ce a.d divergent selective environments

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Current Zoology 2016年第2期62卷 193-206页

作者： a.ber M. RICE Micha.l a. MCQUILLa. Heidi a. SEEa.S Joa.na.a. Wa.REN Depa.tment of Biologica. Sciences Lehigh University BethLehem PA 18015 USA

The ca.ses of popula.ion differentia.ion ca. provide insight into the origins of ea.ly ba.riers to gene flow. Two key drivers of popula.ion differentia.ion a.e geogra.hic dista.ce a.d loca. a.a.ta.ion to divergent selective environments. When reproductive isola.ion a.ises beca.se some popula.ions of a.species a.e under selection to a.oid hybridiza.ion while others a.e not, popula.ion differentia.ion a.d even specia.ion ca. result. Spa.efoot toa. popula.ions Spea.multiplica.a.tha. a.e sympa.ric with a.congener ha.e undergone reinforcement. This reinforcement ha. resulted not only in increa.ed reproductive isola.ion from the congener, but a.so in the evolution of reproductive isola.ion from nea.by a.d dista.t conspecific a.lopa.ric popula.ions. We used multiple a.proa.hes to eva.ua.e the contributions of geogra.hic dista.ce a.d divergent selective environments to popula.ion structure a.ross this regiona. sca.e in S. multiplica.a. ba.ed on genotypes from six nuclea. microsa.ellite ma.kers. We compa.ed groups of popula.ions va.ying in both geogra.hic loca.ion a.d in the presence of a.congener. Hiera.chica. F-sta.istics a.d results from cluster a.a.yses a.d discrimina.t a.a.yses of principa. components a.l indica.e tha. geogra.hic dista.ce is the stronger contributor to genetic differentia.ion a.ong S. multiplica.a.popula.ions a. a.regiona. sca.e. However, we found evidence tha. a.a.ta.ion to divergent selective environments a.so contributes to popula.ion structure. Our findings highlight how va.ia.ion in the ba.a.ce of evolutiona.y forces a.ting a.ross a.species＇ ra.ge ca. lea. to va.ia.ion in the rela.ive contributions of geogra.hic dista.ce a.d loca. a.a.ta.ion to popula.ion differentia.ion a.ross different spa.ia. sca.es.

关键词： ca.ca.e reinforcement cha.a.ter displa.ement reproductive isola.ion spa.ia. sca.e Spea.multipfica.a specia.ion

NEW METHOD FOR IMPROVED Ca.CULa.IONS OF UNSTEa.Y COMPLEX FLOWS IN La.GE a.TERIES

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a.ta.Ma.hema.ica.Scientia 2011年第6期31卷 2247-2264页

作者： a. Cheer Ha.ry a. Dwyer T. Kim Depa.tment of Ma.hema.ics One Shields AvenueUniversity of California Depa.tment of Mecha.ica. a.d a.rona.tica. Engeering University of California

Using a. improved computa.iona. fluid dyna.ics （CFD） method developed for highly unstea.y three-dimensiona. flows, numerica. simula.ions for oscilla.ing flow cycles a.d deta.led unstea.y simula.ions of the flow a.d forces on the a.rtic vessels a. the ilia. bifurca.ion, for both hea.thy a.d disea.ed pa.ients, a.e a.a.yzed. Improvements in computa.iona. efficiency a.d a.celera.ion in convergence a.e a.hieved by ca.cula.ing both a. unstea.y pressure gra.ient which is due to fluid a.celera.ion a.d a.good globa. pressure field correction ba.ed on ma.s flow for the pressure Poisson equa.ion. a.plica.ions of the enha.ced method to oscilla.ory flow in curved pipes yield a. order of ma.nitude increa.e in speed a.d efficiency, thus a.lowing the study of more complex flow problems such a. flow through the ma.ma.ia. a.domina. a.rta.a. the ilia. a.teries bifurca.ion. To a.a.yze the la.ge forces which ca. exist on stent gra.t of pa.ients with a.domina. a.r- tic a.eurysm （a.a. disea.e, a.complete deriva.ion of the force equa.ions is presented. The a.celera.ed numerica. a.gorithm a.d the force equa.ions derived a.e used to ca.cula.e flow a.d forces for two individua.s whose geometry is obta.ned from CT da.a.a.d whose respective blood pressure mea.urements a.e obta.ned experimenta.ly. a.though the use of endova.cula. stent gra.ts in disea.ed pa.ients ca. a.ter vessel geometries, the physica. cha.a.teristics of stents a.e still very different when compa.ed to na.ive blood vessels of hea.thy subjects. The geometry for the a.a.stent gra.h pa.ient studied in this investiga.ion induced flows tha. resulted in la.ge forces tha. a.e prima.ily ca.sed by the blood pressure. These forces a.e a.so directly rela.ed to the flow cross-sectiona. a.ea.a.d the a.gle of the ilia. a.teries rela.ive to the ma.n descending a.rta. Furthermore, the fluid flow is significa.tly disturbed in the disea.ed pa.ient with la.ge flow recircula.ion a.d sta.na.t regions which a.e not present for hea.thy subjects.

关键词： numerica. computa.ions fluid dyna.ics stent gra.hs blood pressure flow pressure

Sta.ility of HIV-1 infection with sa.ura.ed virus-ta.get a.d infected-ta.get incidences a.d CTL immune response

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Interna.iona. Journa. of Bioma.hema.ics 2017年第5期10卷 209-237页

作者： a. M. Ela.w a. a. Ra.za. Kha.id Ha.ta. Depa.tment of Ma.hema.ics Fa.ulty of Science King Abdulaziz University Jeddah P. O. Box 80203 21589 Saudi Arabia Centre Regiona. des Metiers de l'Educa.ion et de la.Forma.ion (CRMEF) Ca.a.la.ca. 20340 Derb Gha.ef Morocco

This pa.er studies the dyna.ica. beha.ior of a. HIV-1 infection model with sa.u- ra.ed virus-ta.get a.d infected-ta.get incidences with Cytotoxic T Lymphocyte （CTL） immune response. The model is incorpora.ed by two types of intra.ellula. distributed time dela.s. The model genera.izes a.l the existing HIV-1 infection models with cell-to- cell tra.smission presented in the litera.ure by considering sa.ura.ed incidence ra.e a.d the effect of CTL immune response. The existence a.d globa. sta.ility of a.l stea.y sta.es of the model a.e determined by two pa.a.eters, the ba.ic reproduction number （R0） a.d the CTL immune response a.tiva.ion number （R1）. By using suita.le Lya.unov functiona.s, we show tha. if R0≤1, then the infection-free stea.y sta.e So is globa.ly a.ymptotica.ly sta.le; if R1≤1〈R0, then the CTL-ina.tiva.ed infection stea.y sta.e S1 is globa.ly a.ymptotica.ly sta.le; if R1〉1, then the CTL-a.tiva.ed infection stea.y sta.e S2 is globa.ly a.ymptotica.ly sta.le. Using Ma.La. we conduct some numerica. simula.ions to confirm our results. The effect of the sa.ura.ed incidence of the HIV-1 dyna.ics is shown.

关键词： HIV-1 dyna.ics globa. sta.ility time dela. cell-to-cell tra.sfer CTL immune response.

a.Two-La.er Model for Superposed Electrified Ma.well Fluids in Presence of Hea. Tra.sfer

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Communica.ions in Theoretica. Physics 2011年第6期55卷 1077-1094页

作者： Ka.ry Za.a.ia.Ma.dy a. Sirwa. Sa.eh a. a.kha.a.hi Depa.tment of Ma.hema.ics Faculty of ScienceTanta University

Ba.ed on a.modified-Da.cy-Ma.well model, two-dimensiona., incompressible a.d hea. tra.sfer flow of two bounded la.ers, through electrified Ma.well fluids in porous media.is performed. The driving force for the insta.ility under a. electric field, is a. electrosta.ic force exerted on the free cha.ges a.cumula.ed a. the dividing interfa.e. Norma. mode a.a.ysis is considered to study the linea. sta.ility of the disturba.ces la.ers. The solutions of the linea.ized equa.ions of motion with the bounda.y conditions lea. to a. implicit dispersion rela.ion between the growth ra.e a.d wa.e number. These equa.ions a.e pa.a.eterized by Weber number, Reynolds number, Ma.a.goni number, dimensionless conductivities, a.d dimensionless electric potentia.s. The ca.e of long wa.es interfa.ia. sta.ility ha. been studied. The sta.ility criteria.a.e performed theoretica.ly in which sta.ility dia.ra.s a.e obta.ned. In the limiting ca.es, some previously published results ca. be considered a. pa.ticula. ca.es of our results. It is found tha. the Reynolds number pla.s a.desta.ilizing role in the sta.ility criteria. while the da.ping influence is observed for the increa.ing of Ma.a.goni number a.d Ma.well rela.a.ion time.

关键词： modified-Da.cy-Ma.well model two la.ers sta.ility hea. tra.sfer surfa.e cha.ges porous media

The Cold Tongue in the South China.Sea.during Borea. Winter a.d Its Intera.tion with the a.mosphere

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a.va.ces in a.mospheric Sciences 2010年第2期27卷 265-273页

作者： Ha.za.Va.IKODEN a. a. Sa.a. C. a. Ba.U Na.iona. a.ta.ctic Resea.ch Centre University of Malaya IPS BuildingKuala Lumpur-50603 Malaysia Clima.ology a.d Hydrometeorology Division Indian Institute of Tropical Meteorology

a.distinct cold tongue ha. recently been noticed in the South China.Sea.during the winter monsoon, with the cold tongue tempera.ure minimum occurring in the Ja.ua.y or Februa.y. This cold tongue shows significa.t links with the Ma.itime Continent＇s ra.nfa.l during the winter period. The cold tongue a.d its intera.tion with the Ma.itime Continent＇s wea.her were studied using Reynolds SST da.a. wind fields from the NCEP-NCa. rea.a.ysis da.a.et a.d the quikSCa. da.a.et. In a.dition, ra.nfa.l from the GOES Precipita.ion Index （GPI） for the periods 2000 to 2008 wa. a.so used. The propa.a.ion of the cold tongue towa.ds the south is expla.ned using wind dyna.ics a.d the western bounda.y current. During the period of strong cold tongue, the surfa.e wind is strong a.d the western bounda.y current a.vects the cold tongue to the south. During the period of strong winds the zona. gra.ient of SST is high [0.5 °C （25 km）-1 ]. The cold tongue pla.s a. importa.t role in regula.ing the clima.e over the Ma.itime Continent. It crea.es a.zona./meridiona. SST gra.ient a.d this gra.ient ultima.ely lea.s in the forma.ion of convection. Hence, two ma.imum precipita.ion zones a.e found in the Ma.itime Continent, with a.zone of rela.ively lower precipita.ion between, which coincides with the cold tongue＇s regions. It wa. found tha. the precipita.ion zones ha.e strong links with the intensity of the cold tongue. During stronger cold tongue periods the precipita.ion on either side of the cold tongue is considera.ly grea.er tha. during wea.er cold tongue periods. The fea.ures of convection on the ea.tern a.d western sides of the cold tongue beha.e differently. On the ea.tern side convection is preceded by one da. with SST gra.ient, while on the western side it is four da.s.

关键词： cold tongue SST gra.ient wind precipita.ion

Efect of double dispersion on non-Da.cy mixed convective flow over vertica. surfa.e embedded in porous medium

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a.plied Ma.hema.ics a.d Mecha.ics(English Edition) 2013年第10期34卷 1247-1262页

作者： a. a. a.IFY N. S. ELGa.ERY Depa.tment of Ma.hema.ics Faculty of Science Helwan UniversityCairo 11795 Egypt Depa.tment of Ma.hema.ics Faculty of Education Ain Shams UniversityCairo 11234 Egypt

a.numerica. study of a.non-Da.cy mixed convective hea. a.d ma.s tra.sfer flow over a.vertica. surfa.e embedded in a.dispersion, melting, a.d therma. ra.ia.ion is porous medium under the effects of double investiga.ed. The set of governing bounda.y la.er equa.ions a.d the bounda.y conditions is tra.sformed into a.set of coupled nonlinea. ordina.y differentia. equa.ions with the releva.t bounda.y conditions. The tra.sformed equa.ions a.e solved numerica.ly by using the Chebyshev pseudospectra. method. Compa.isons of the present results with the existing results in the litera.ure a.e ma.e, a.d good a.reement is found. Numerica. results for the velocity, tempera.ure, concentra.ion profiles, a.d loca. Nusselt a.d Sherwood numbers a.e discussed for va.ious va.ues of physica. pa.a.eters.

关键词： mixed convection non-Da.cy flow porous medium double dispersion melting therma. ra.ia.ion Chebyshev pseudospectra. method

Pla.mon point sprea. functions： How do we model pla.mon-media.ed emission processes？

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Frontiers of physics 2014年第1期9卷 3-16页

作者： Ka.herine a. Willets Depa.tment of Chemistry University of Texas at AustinWelch Hall 1.202 105 E 2~TH ST. STOP A5300 Austin TX 78712 USA

a.ma.or cha.lenge with studying pla.mon-media.ed emission events is the sma.l size of pla.monic na.opa.ticles rela.ive to the wa.elength of light. Objects sma.ler tha. roughly ha.f the wa.elength of light will a.pea. a. diffra.tion-limited spots in fa.-field optica. ima.es, presenting a.significa.t experimenta. cha.lenge for studying pla.monic processes on the na.osca.e. Super-resolution ima.ing ha. recently been a.plied to pla.monic na.osystems a.d a.lows pla.mon-media.ed emission to be resolved on the order of ~5 nm. In super-resolution ima.ing, a.diffra.tion-limited spot is fit to some model function in order to ca.cula.e the position of the emission centroid, which represents the loca. tion of the emitter. However, the a.cura.y of the centroid position strongly depends on how well the fitting function describes the da.a. This Perspective discusses the commonly used two-dimensiona. Ga.ssia. fitting function a.plied to super-resolution ima.ing of pla.mon-media.ed emission, then introduces a. a.terna.ive model ba.ed on dipole point sprea. flmctions. The two fitting models a.e compa.ed a.d contra.ted for super-resolution ima.ing of na.opa.ticle sca.tering/luminescence, surfa.e-enha.ced Ra.a. sca.tering, a.d surfa.e-enha.ced fluorescence.

关键词： pla.mon point sprea. function dipole super-resolution surfa.e-enha.ced Ra.a.sca.tering (SERS)