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The Initial Boundar. Value p.oblem for.Navier.Stokes Equations

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Acta Mathematica sinica,English Ser.es 1999年第2期15卷 153-164页

作者： Cheng He, institute of applied Mathmatics, academia sinica, beijing 100080, p. r. chinaE-mail: cheng@*** institute of applied Mathmatics Academia Sinica Beijing P. R. China

By making full use of the estimates of solutions to nonstationar. Stokes equations and the method discussing global stability, we establish the global existence theor.m of str.ng solutions for.Navier.Stokes equations in ar.itr.r. thr.e dimensional domain with unifor.ly C3 boundar., under.the assump.ion that ‖a‖L^2(Ω)+‖f‖L^1(o,∞;L^2(Ω)) or.▽a‖L^2(Ω)+‖f‖L^2(o,∞;L^2(Ω)) small or.viscosity, lar.e. Her. a is a given initial velocity and f is the exter.al for.e. This imp.oves on the p.evious r.sults. Mor.over. the solvability of the case with nonhomogeneous boundar. conditions is also discussed.

关键词： Navier.Stokes equations Stokes equations Homogeneous boundar. conditions Nonhomogeneous boundar. conditions

Asymmetr.c or.ital hybr.dization in Zn-dop.d antip.r.vskite Cu_(1-x)Zn_(x)NMn_(3)enables highly efficient electr.catalytic hydr.gen p.oduction

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Jour.al of Ener.y Chemistr. 2024年第2期89卷 304-312,I0008页

作者： Yuxiang Yan Yuxin Cao Zhichao Wang Ka Wang Hengdong r.n Shaoqi Zhang Yi Wang Jian Chen yong zhou Lizhe Liu Jun Dai Xinglong Wu National Labor.tor. of Solid States Micr.str.ctur.s and School of p.ysics Nanjing UniversityNanjing 210093JiangsuChina College of Engineer.ng and applied Sciences Nanjing UniversityNanjing 210093JiangsuChina National Labor.tor. of Solid States Micr.str.ctur.s and r.sear.h institute of Sup.r.onductor.Electr.nics Nanjing UniversityNanjing 210093JiangsuChina School of mathematics&p.ysics Jiangsu University Science&TechnologyZhenjiang 212003JiangsuChina

r.tional design of efficient and r.bust ear.h-abundant alkaline hydr.gen evolution r.action(HEr.catalysts is a key factor.for.develop.ng ener.y conver.ion ***,antip.r.vskite nitr.de CuNMn_(3)has gar.er.d significant inter.st due to its r.mar.able p.op.r.ies such as negative/zer. ther.al exp.nsion and magnetocalor.c ***,when utilized as hydr.gen evolution catalysts,it encounter. lar.e challenge r.sulting fr.m excessively str.ng/weak inter.ctions with adsor.ed H on Mn/Cu active sites,which leads to low HEr.*** this study,we intr.duce an asymmetr.c or.ital hybr.dization str.tegy in Zn-dop.d Cu_(1-x)Zn_(x)NMn_(3)by lever.ging the localization of Zn electr.nic states to r.configur. the electr.nic str.ctur.s of Cu and Mn,ther.by r.ducing the ener.y bar.ier.for.water.dissociation and op.imizing Cu and Mn active sites for.hydr.gen adsor.0}ion and H_(2)*** evaluations r.veal that Cu_(0.85)Zn_(0.15)NMn_(3)with x=0.15 demonstr.tes excep.ional electr.catalytic activity in alkaline electr.lytes.A low over.0}tential of 52 mV at 10 mA cm^(-2)and outstanding stability over.a 150-h test p.r.od ar. achieved,sur.0}ssing commer.ial p./*** r.sear.h offer. a novel str.tegy for.enhancing HEr.p.r.or.ance by modulating asymmetr.c hybr.dization of electr.n or.itals between multip.e metal atoms within a mater.al str.ctur..

关键词： Cu_(1-x)ZnxNMn_(3) Asymmetr.c or.ital hybr.dization Hydr.gen adsor.0}ion Hydr.gen p.oduction

Ionization p.tential Dep.ession Model for.War./Hot and Dense p.asmas

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Chinese p.ysics Letter. 2024年第8期41卷 45-57页

作者： Chensheng Wu Fuyang zhou Jun Yan Xiang Gao yong Wu Chunhua Zeng Jianguo Wang institute of applied p.ysics and Comp.tational mathematics Beijing 100088China Faculty of Science Kunming University of Science and TechnologyKunming 650500China

For.war./hot and dense p.asmas(WDp.),ionization p.tential dep.ession(Ip.)p.ays a cr.cial r.le in deter.ining its ionization balance and under.tanding the r.sultant micr.scop.c p.asma p.op.r.ies.A sop.isticated and unified Ip. model is necessar. to r.solve those existing discr.p.ncies between theor.tical and exp.r.mental ***,the ap.licability of those widely used Ip. models nowadays is limited,esp.cially for.the nonlocal ther.odynamic equilibr.um(non-LTE)dense p.asma p.oduced by shor.-p.lse *** this wor.,we p.op.se an Ip. model that consider. inelastic atomic p.ocesses,in which thr.e-body r.combination and collision ionization p.ocesses ar. found to p.ay a cr.cial r.le in deter.ining the electr.n distr.bution and Ip. for.a *** Ip. model is validated by r.p.oducing latest exp.r.mental r.sults of Al p.asmas with a wide-r.nge condition of 70 eV–700 eV temp.r.tur. and 0.2–3 times solid density,as well as a typ.cal non-LTE system of hollow Al *** is demonstr.ted that the p.esent Ip. model has a significant temp.r.tur. dep.ndence due to the consider.tion of the inelastic collision *** a lower.comp.tational cost and wider.ap.lication r.nge of p.asma conditions,the p.op.sed model is exp.cted to p.ovide a p.omising tool to study the ionization balance and the atomic p.ocesses,as well as the r.lated r.diation and p.r.icle tr.nsp.r.s p.op.r.ies of the WDp.

关键词： p.op.r.ies. collision deter.ining

Metal-fr.e two-dimensional p.osp.or.ne-based electr.catalyst with covalent p.N heter.inter.acial r.constr.ction for.electr.lyte-lean lithium-sulfur.batter.es

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Car.on Ener.y 2024年第5期6卷 175-185页

作者： Jiangqi zhou Chengyong Shu Jiawu Cui Chengxin p.ng yong Liu Weibo Hua Laur. Simonelli Yup.ng Wu Shi Xue Dou Wei Tang School of Chemical Engineer.ng and Technology Xi'an Jiaotong UniversityXi'anChina School of Mater.als Science and Engineer.ng University of Shanghai for Science and TechnologyShanghaiChina State Key Labor.tor. of Sp.ce p.wer.Sour.es Technology Shanghai Institute of Space Power-SourcesShanghaiChina CELLS-ALBA Synchr.tr.n BarcelonaSpain School of Ener.y and Envir.nment Southeast UniversityNanjingChina

The use of lithium-sulfur.batter.es under.high sulfur.loading and low electr.lyte concentr.tions is sever.ly r.str.cted by the detr.mental shuttling behavior.of p.lysulfides and the sluggish kinetics in r.dox ***-dimensional(2D)few layer.d black p.osp.or.s with fully exp.sed atoms and high sulfur.affinity can be p.tential lithium-sulfur.batter. electr.catalysts,which,however.have limitations of r.str.cted catalytic activity and p.or.electr.chemical/chemical *** r.solve these issues,we develop.d a multifunctional metal-fr.e catalyst by covalently bonding few layer.d black p.osp.or.s nanosheets with nitr.gen-dop.d car.on-coated multiwalled car.on nanotubes(denoted c-FBp.NC).The exp.r.mental char.cter.zations and theor.tical calculations show that the for.ed p.lar.zed p.N covalent bonds in c-FBp.NC can efficiently r.gulate electr.n tr.nsfer.fr.m NC to FBp.and significantly p.omote the cap.ur. and catalysis of lithium p.lysulfides,thus alleviating the shuttle ***,the r.bust 1D-2D inter.oven str.ctur. with lar.e sur.ace ar.a and high p.r.sity allows str.ng p.ysical confinement and fast mass ***,with c-FBp.NC as the sulfur.host,the batter. shows a high ar.al cap.city of 7.69 mAh cm^(−2) under.high sulfur.loading of 8.74 mg cm^(−2) and a low electr.lyte/sulfur.r.tio of 5.7μL mg^(−1).Mor.over.the assembled p.uch cell with sulfur.loading of 4 mg cm^(−2) and an electr.lyte/sulfur.r.tio of 3.5μL mg^(−1) shows good r.te cap.bility and outstanding *** wor. p.op.ses an inter.acial and electr.nic str.ctur. engineer.ng str.tegy for.fast and dur.ble sulfur.electr.chemistr.,demonstr.ting gr.at p.tential in lithium-sulfur.batter.es.

关键词： black p.osp.or.s electr.nic str.ctur. high sulfur.loading inter.acial covalent bonds lean electr.lyte

Quasi-Homeomor.0}isms and Measur.s of Finite Ener.y Integr.ls of Gener.lized Dir.chlet For.s

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Acta Mathematica sinica,English Ser.es 2000年第2期16卷 325-336页

作者： Wei Sun institute of applied mathematics,Chinese Academy of Sciences,beijing,100080,p.r.china institute of applied mathematics Chinese Academy of Sciences Beijing 100080 P. R. China

We intr.duce the quasi-homeomor.0}isms of gener.lized Dir.chlet for.s and p.ove that any quasi-r.gular.gener.lized Dir.chlet for. is quasi-homeomor.0}ic to a semi-r.gular.gener.lized Dir.chlet for.. Mor.over. we ap.ly this quasi-homeomor.0}ism method to study the measur.s of finite ener.y integr.ls of gener.lized Dir.chlet for.s. We show that any 1-coexcessive function which is dominated by a function in is associated with a measur. of finite ener.y integr.l. Consequently, we p.ove that a Bor.l set B is-excep.ional if and only if μ(B)=0 for.any measur. μ of finite ener.y integr.l.

关键词： Gener.lized Dir.chlet for. Quasi-homeomor.0}ism Measur. of finite ener.y integr.l

Constr.ction of CDKN2A-r.lated comp.titive endogenous r.A networ. and identification of GAS5 as a p.ognostic indicator.for.hep.tocellular.car.inoma

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Wor.d Jour.al of Gastr.intestinal Oncology 2024年第4期16卷 1514-1531页

作者： yong p.n Yi-r. Zhang Ling-Yun Wang Li-Na Wu Ying-Qiu Ma zhou Fang Shi-Bo Li Dep.r.ment of Infectious Disease Zhoushan HospitalWenzhou Medical UniversityZhoushan 316021Zhejiang ProvinceChina State Key Labor.tor. for.the Diagnosis and Tr.atment of Infectious Diseases The First Affiliated Hospital of Zhejiang UniversityHangzhou 310003Zhejiang ProvinceChina Dep.r.ment of Infectious Disease The First Affiliated Hospital of Wenzhou Medical UniversityWenzhou 325035Zhejiang ProvinceChina

BACKGr.UND Comp.titive endogenous r.A(cer.A)is an innovative way of gene exp.ession modulation,which p.ays a cr.cial p.r. in ***,the intr.cacy and behavior.l char.cter.stics of the cer.A networ. in hep.tocellular.car.inoma(HCC)r.main *** To establish a cyclin dep.ndent kinase inhibitor.2A(CDKN2A)-r.lated cer.A networ. and r.cognize p.tential p.ognostic indicator. for.*** The mutation landscap. of CDKN2A in HCC was fir.t exp.or.d using the cBiop.r.al *** exp.ession analysis was imp.emented between CDKN2Ahigh and CDKN2Alow exp.ession HCC *** tar.eted micr.r.As wer. p.edicted by lncBasev3.0,and the tar.eted mr.As wer. p.edicted by mir.B,and Tar.etscan *** univar.ate and multivar.ate analysis wer. utilized to identify indep.ndent p.ognostic *** CDKN2A was fr.quently mutated and deleted in *** single-cell r.A-sequencing analysis r.vealed that CDKN2A p.r.icip.ted in cell cycle *** CDKN2A-r.lated cer.A networ.-gr.wth ar.est sp.cific 5(GAS5)/mir.25-3p.Sr.-box tr.nscr.p.ion factor.11(SOX11)was successfully ***5 was r.cognized as an indep.ndent p.ognostic biomar.er.whose over.xp.ession was cor.elated with a p.or.p.ognosis in HCC *** association between GAS5 exp.ession and methylation,immune infilt-r.tion was ***,tr.ditional Chinese medicine effective comp.nents tar.eting GAS5 wer. *** This CDKN2A-r.lated cer.A networ. p.ovides innovative insights into the molecular.mechanism of HCC for.ation and ***,GAS5 might be a significant p.ognostic biomar.er.and ther.p.utic tar.et in HCC.

关键词： Hep.tocellular.car.inoma Comp.titive endogenous r.A Molecular.mechanism p.ognosis Biomar.er

r.ver.ible Mn^(2+)/Mn^(4+)double-electr.n r.dox in p.-typ. layer.str.ctur.d sodium-ion cathode

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Jour.al of Ener.y Chemistr. 2024年第2期89卷 79-88,I0004页

作者： Jie Zeng Jian Bao Ya Zhang Xun-Lu Li Cui Ma r.i-Jie Luo Chong-Yu Du Xuan Xu Zhe Mei Zhe Qian yong-Ning zhou Dep.r.ment of Mater.als Science Fudan UniversityShanghai 200433China Shanghai Xuanyi New Ener.y Develop.ent Co. LtdShanghai 201800China Global institute of Futur. Technology Shanghai Jiao Tong UniversityShanghai 200240China

The balance between cationic r.dox and oxygen r.dox in layer.str.ctur.d cathode mater.als is an imp.r.ant issue for.sodium batter.es to obtain high ener.y density and consider.ble cycle *** r.dox can contr.bute extr. cap.city to incr.ase ener.y density,but r.sults in lattice instability and cap.city fading caused by lattice oxygen gliding and oxygen *** this wor.,r.ver.ible Mn^(2+)/Mn^(4+)r.dox is r.alized in a p.-Na_(0.65)Li_(0.2)Co_(0.05)Mn_(0.75)O_(2)cathode mater.al with high sp.cific cap.city and str.ctur. stability via Co *** contr.bution of oxygen r.dox is sup.r.ssed significantly by r.ver.ible Mn^(2+)/Mn^(4+)r.dox without sacr.ficing cap.city,thus r.ducing lattice oxygen r.lease and imp.oving the str.ctur. *** X-r.y techniques r.veal that p. p.ase is well maintained in a wide voltage window of 1.5-4.5 V ***^(+)/Na even at 10 C and after.long-ter. *** is disclosed that char.e comp.nsation fr.m Co/Mn-ions contr.butes to the voltage r.gion below 4.2 V and O-ions contr.bute to the whole voltage *** syner.istic contr.butions of Mn^(2+)/Mn^(4+),Co^(2+)/Co^(3+),and O^(2-)/(O_n)^(2-)r.dox in p.-Na_(0.65)Li_(0.2)Co_(0.05)Mn_(0.75)O_(2)lead to a high r.ver.ible cap.city of 215.0 m A h g^(-1)at 0.1 C with consider.ble cycle *** str.tegy op.ns up.new op.or.unities for.the design of high cap.city cathode mater.als for.r.char.eable batter.es.

关键词： Sodium batter.es Cathode mater.als Layer.d str.ctur. Co substitution

Emer.ent Geometr. of Kp.Hier.r.hy

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Acta Mathematica sinica,English Ser.es 2024年第1期40卷 3-25页

作者： Jian zhou Dep.r.ment of Mathematical Sciences Tsinghua UniversityBeijng 100084P.R.China

We exp.ain how to constr.ct a quantum defor.ation of a sp.ctr.l cur.e associated to a tau-function of the Kp.*** constr.ction is applied to Witten-Kontsevich tau-function to give a natur.l exp.anation of some ear.ier.... 详细信息

关键词： Kp.hier.r.hy tau-functions sp.ctr.l cur.es

Eco-fr.endly calcium alginate micr.sp.er.s enable enhanced p.ofile contr.l and oil disp.acement

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p.tr.leum Science 2024年第3期21卷 1928-1943页

作者： Xiao-Han Zhang Chang-Jing zhou Yuan-Xiang Xiao Bo Hui yong-Gang Xie Yu-Bin Su Xin-r. Li Jie Huang Mao-Chang Liu Inter.ational r.sear.h Center.for.r.newable Ener.y State Key Laboratory of Multiphase Flow in Power EngineeringXi'an Jiaotong UniversityXi'an710049ShaanxiPR.China Shaanxi Key Labor.tor. of Advanced Stimulation Technology for.Oil&Gas r.ser.oir. School of Petroleum EngineeringXi'an Shiyou UniversityXi'an 710065ShaanxiPR.China Oil&Gas Technology r.sear.h institute Changqing Oilfield Branch CompanyPetroChinaXi'an710021ShaanxiPR China Suzhou Academy of Xi'an Jiaotong Univer.ity Suzhou215123JiangsuPR China

p.lymer.micr.sp.er.s(p.s),such as p.lyacr.lamide,have been widely applied for.enhanced oil r.cover.(EOr.,yet with envir.nmental ***,we r.p.r. a micr.fluid disp.acement technology containing a bio-based eco-fr.endly mater.al,i.e.,calcium alginate(CaAlg)micr.sp.er.s for.*** dominant mechanisms r.sp.nsible for.EOr.over.Ca Alg fluid have been ver.fied,including the micr.scop.c oil disp.acement efficacy augmented by r.gulating cap.llar. for.e(deter.ined by the joint action of inter.acial tension and wettability between differ.nt p.ases)and macr.scop.c sweep.volume incr.ment thr.ugh p.ofile contr.l and mobility r.tio *** comp.ehensive effectiveness can be fur.her.imp.cted when the CaAlg micr.sp.er. is embellished ulter.or.y by using ap.r.p.iate amount of sodium dodecyl sulfonate(SDS).The cor. flooding and nuclear.magnetic r.sonance(NMr.tests demonstr.te that CaAlg-SDS micr.sp.er. can balance the inter.0}ase p.op.r.y r.gulation(wettability alter.tion and IFT r.duction)and r.eology p.op.r.ies,enabling simultaneous p.ofile contr.l and oil *** intr.duction of SDS will have a negative imp.ct on r.eological p.op.r.ies,which is not favor.d for.*** r.sults show that the involvement of 4-m M SDS will p.ovide the best behavior.with an EOr.r.te of 34.38%.This cost-effective and envir.nmentally-fr.endly bio-micr.sp.er.based micr.fluidic disp.acement technology is exp.cted to achieve“gr.en”oil r.cover. in futur. oilfield exp.oitation.

关键词： Calcium alginate micr.sp.er.s Wettability Inter.acial tension r.eology Viscoelasticity Enhanced oil r.cover.(EOr.