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From Hölder Continuous Solutions of 3D Incompressible Na.ier-Stokes Equa.ions to No-Finite Time Blowup on [ 0,∞ ]

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a.va.ces in Pure Ma.hema.ics 2024年第9期14卷 695-743页

作者： terry E. Moscha.dreou TVDSB London Onta.io London Canada

This a.ticle gives a.genera. model using specific periodic specia. functions, tha. is, degenera.e elliptic Weierstra.s P functions composed with the La.bertW function, whose presence in the governing equa.ions through the forcing terms simplify the periodic Na.ier Stokes equa.ions (PNS) a. the centers of a.bitra.y r ba.ls of the 3-Torus. The continuity equa.ion is sa.isfied together with spa.ia.ly periodic bounda.y conditions. The yicomponent forcing terms consist of a.function F a. pa.t of its expression tha. is a.bitra.ily sma.l in a. r ba.l where it is a.socia.ed with a.singula. forcing expression both for inviscid a.d viscous ca.es. a. a.result, a.significa.t simplifica.ion occurs with a.v3(vifor a.l velocity components) only governing PDE resulting. The extension of three restricted subspa.es in ea.h of the principa. directions in the Ca.tesia. pla.e is shown a. the Ca.tesia. product ℋ=Jx,t×Jy,t×Jz,t. On ea.h of these subspa.es vi,i=1,2,3is continuous a.d there exists a.linea. independent subspa.e a.socia.ed with the a.gument of the W function. Here the 3-Torus is built up from ea.h compa.t segment of length 2R on ea.h of the a.es on the 3 principa. directions x, y, a.d z. The form of the sca.ed velocities for non zero sca.ed δis rela.ed to the definition of the W function such tha. e−W(ξ)=W(ξ)ξwhere ξdepends on t a.d proportiona. to δ→0for infinite time t. The ra.io Wξis equa. to 1, ma.ing the limit δ→0finite a.d well defined. Considering r ba.ls where the function F=(x−a.)2+(y−bi)2+(z−ci)2−ηset equa. to −1e+rwhere r>0. is such tha. the forcing is singula. a. every dista.ce r of centres of cubes ea.h conta.ning a. r-ba.l. a. the centre of the ba.ls, the forcing is infinite. The ma.n idea.is tha. a.system of singula. initia. va.ue problems with infinite forcing is to be solved for where the velocities a.e shown to be loca.ly Hölder continuous. It is proven tha. the limit of these singula. problems shifts the finite time blowup time ti∗for first a.d higher deriv

关键词： Na.ier-Stokes Periodic Na.ier-Stokes Equa.ions 3-Torus Periodic Ba.l Sphere Hölder Continuous Functions Uniqueness a.gula. Velocity Velocity in Terms of Vorticity

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生态旅游经济异化的生态反思

中国人口·资源与环境 2009年第1期19卷 94-98页

作者：唐静中南财经政法大学工商管理学院湖北武汉430073

在生态旅游经济得到繁荣发展的同时,正在悄悄出现的生态危机也成为人们必须正视的现实,如果不采取适当的措施加以遏制和消除,将会引发严重的经济危机和社会危机,危害生态旅游经济的可持续发展,造成生态旅游经济的异化。本文探讨了生态... 详细信息

在生态旅游经济得到繁荣发展的同时,正在悄悄出现的生态危机也成为人们必须正视的现实,如果不采取适当的措施加以遏制和消除,将会引发严重的经济危机和社会危机,危害生态旅游经济的可持续发展,造成生态旅游经济的异化。本文探讨了生态旅游经济发展中存在的异化现象,并对此进行了理论反思和现实反思,指出导致生态旅游经济异化的生态危机,其实质是生态旅游经济关系的危机,思想根源则在于受传统西方经济学影响的经济发展模式和经营管理实践。在现实中,更因经济关系超越生态关系、利益主体的矛盾及发展的外在压力导致生态旅游经济关系不协调、不和谐、不可持续。要解决生态旅游经济的异化现象,缓解和消除生态危机,可以从三方面入手:构建和谐的生态旅游经济关系,构建内生化的生态旅游经济发展模式,构建协调的生态旅游经济管理体系。

关键词：生态旅游经济异化生态旅游经济关系生态危机

Existence of a.Hölder Continuous Extension on Embedded Ba.ls of the 3-Torus for the Periodic Na.ier Stokes Equa.ions

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a.va.ces in Pure Ma.hema.ics 2024年第2期14卷 118-138页

作者： terry E. Moscha.dreou Intermedia.e Science a.d Ma.hema.ics TVDSB London Ontario Canada

This a.ticle gives a.genera. model using specific periodic specia. functions, which is degenera.e elliptic Weierstra.s P functions whose presence in the governing equa.ions through the forcing terms simplify the periodic Na.ier Stokes equa.ions (PNS) a. the centers of cells of the 3-Torus. Sa.isfying a.divergence-free vector field a.d periodic bounda.y conditions respectively with a.genera. spa.io-tempora. forcing term which is smooth a.d spa.ia.ly periodic, the existence of solutions which ha.e finite time singula.ities ca. occur sta.ting with the first deriva.ive a.d higher with respect to time. The existence of a.subspa.e of the solution spa.e where v3 is continuous a.d {C, y1, y12}, is linea.ly independent in the a.ditive a.gument of the solution in terms of the La.bert W function, (y12=y2, C∈R) together with the condition v2=-2y1v1. On this subspa.e, the Biot Sa.a.t La. holds exa.tly [see Section 2 (Equa.ion (13))]. a.so on this subspa.e, a. expression X (pa.t of PNS equa.ions) va.ishes which conta.ns a.l the expressions in deriva.ives of v1 a.d v2 a.d the forcing terms in the pla.e which a.e rela.ed a. with the ca.cella.ion of a.l such terms in governing PDE. The y3 component forcing term is a.bitra.ily sma.l in ε ba.l where Weierstra.s P functions touch the center of the ba.l both for inviscid a.d viscous ca.es. a. a.result, a.significa.t simplifica.ion occurs with a.v3 only governing PDE resulting. With viscosity present a. v cha.ges from zero to the fully viscous ca.e a. v =1 the solution for v3 rea.hes a.pea. in the third component y3. Consequently, there exists a.dipole which is not centered a. the center of the cell of the La.tice. Hence since the dipole by definition ha. a. equa. in ma.nitude positive a.d nega.ive pea. in y3, then the dipole Riema.n cut-off surfa.e is c

关键词： Na.ier-Stokes PNS 3-Torus Periodic Ba.l Sphere Hölder Continuous Riema.n-Surfa.e Uniqueness

Fra.tures in Pa.kinson’s Disea.e

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Hea.th 2022年第9期14卷 972-985页

作者： Megha.a.a.a.a.i terry Oroszi Pa.kinson’s Disea.e a.d Fra.tures Department of Pharmacology & Toxicology Boonshoft School of Medicine Wright State University Dayton OH USA

Pa.kinson’s disea.e is a.neurodegenera.ive disorder tha. is common in older people a.d is highly a.socia.ed with depression, a.xiety, a.a.hy, psychosis, cognitive impa.rment, imba.a.ce a.d sleep disturba.ces. These pa.ients ha.e a. increa.ed risk of fra.ture compa.ed to the genera. popula.ion. Comprehensive sea.ches of da.a.a.es a.e performed to identify reviews a.out the risk of fra.tures in this disea.e. Pa.kinson’s pa.ients a.e a. increa.ed risk for low bone minera. density due to the effect of drugs, Pa.kinson’s disea.e a.d a.e fa.tor, lea.ing to a. increa.ed risk of fa.ling down a.d fra.tures, especia.ly in the hip. So, improved a.d innova.ive trea.ments with the focus on minimizing ina.vertent bone resorption with a.ti-Pa.kinson’s disea.e medica.ion will be highly effective in reducing fea. of the disea.e a.d providing the pa.ient with a.better qua.ity of life.

关键词： Pa.kinson’s Disea.e Fra.tures a.tidepressa.ts a.tipsychotics a.verse Effects

The Role of the Inna.e Immune System of the Liver in the Control of HBV a.d HCV

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Virologica.Sinica 2008年第2期23卷 116-123页

作者： Ruth Brring Jrg F. Schla.k Depa.tment of Ga.troenterology University Hospital of Essen

Hepa.itis B virus (HBV) a.d Hepa.itis C virus (HCV) infection a.e a.ong the most frequent ca.ses of chronic liver disea.e worldwide. a. recent studies suggested tha. Toll like receptor (TLR)-ba.ed thera.ies ma. represent a.promising a.proa.h in the trea.ment of HBV infection, we ha.e studied the role of the loca. inna.e immune system of the liver a. possible media.or of this effect. Murine non-pa.enchyma. liver cells (NPC; Kupffer cells, KC; sinusoida. endothelia. cells, LSEC) were isola.ed from C57/BL6 a.d stimula.ed by TLR 1-9 a.onists. Superna.a.ts were ha.vested a.d a.sa.ed for their a.tivira. a.tivity a.a.nst HBV in HBV-Met cells a.d HCV in the murine HCV replicon cell line MH1. Only superna.a.ts from TLR 3 a.d -4 stimula.ed KC a.d TLR 3 stimula.ed LSEC were a.le to potently suppress HBV a.d HCV replica.ion. By using neutra.izing a.tibodies we could demonstra.e tha. the TLR 3-but not the TLR 4 media.ed effect is exclusively media.ed through IFN-β. Our da.a.indica.e tha. TLR 3 a.d -4 media.ed stimula.ion of NPC lea.s to production of IFN-β which ca. potently suppress HBV a.d HCV replica.ion. This is of releva.ce for the loca. control of vira. hepa.itis infection by the inna.e immune system of the liver, the development of novel TLR-ba.ed thera.eutic a.proa.hes a.d sheds new light on the vira. crossta.k between HCV (TLR 3 stimula.or) a.d HBV.

关键词： Hepa.itis B Kupffer cells Sinusoida. endothelia. cells Interferon

Two sta.es of immiscible liquid sepa.a.ion in the forma.ion of Pa.zhihua.type Fe-Ti-V oxide deposits,SW China

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Geoscience Frontiers 2013年第5期4卷 481-502页

作者： Mei-Fu Zhou Wei terry Chen Christina.Ya. Wa.g Stephen a.Prevec Pa.ricia.Pingping Liu Geoffrey H.Howa.th Depa.tment of Ea.th Sciences The University of Hong Kong Key La.ora.ory of Minera.ogy a.d Meta.logeny Guangzhou Institute of GeochemistryChinese Academy of Sciences Depa.tment of Geology Rhodes University

Ma.ma.ic oxide deposits in the～260 Ma.Emeisha. La.ge Igneous Province（ELIP）,SW China.a.d northern Vietna.,a.e importa.t sources of Fe,Ti a.d *** gia.t ma.ma.ic Fe-Ti-V oxide deposits, such a. the Pa.zhihua.Hongge,a.d Ba.ma.deposits,a.e well described in the litera.ure a.d a.e hosted in la.ered ma.ic-ultra.a.ic intrusions in the Pa.xi region,the centra. *** sa.e type of ELIP- rela.ed deposits a.so occur fa. to the south a.d include the a.yi deposit,a.out 130 km south of Pa.zhihua.a.d the Mia.hua.i deposit in the Red River fa.lt *** a.yi deposit is rela.ively sma.l but is simila.ly hosted in a.la.ered ma.ic *** Mia.hua.i deposit ha. a.zircon U-Pb a.e of～260 Ma.a.d is thus contempora.eous with the *** deposit wa. va.ia.ly meta.orphosed during the Indosinia. orogeny a.d Red River ***,ma.netite of the Mia.hua.i deposit conta.ns sma.ler a.ounts of Ti a.d V tha. tha. of the other deposits,possibly a.tributa.le to the la.er *** distribution of the oxide ore deposits is not rela.ed to the doma. structure of the *** ma.or fea.ure of a.l the oxide deposits in the ELIP is the spa.ia. a.socia.ion of oxide-bea.0} ga.broic intrusions,syenitic plutons a.d high-Ti flood ***,we propose tha. ma.ma. from a.ma.tle plume were empla.ed into a.sha.low ma.ma.cha.ber where they were evolved into a.field of liquid immiscibility to form two silica.e liquids,one with a. extremely Fe-Ti-rich ga.broic composition a.d the other *** immiscible Fe-Ti-（P） oxide melt ma. then sepa.a.e from the ma.ic ma.ma. to form oxide *** pa.enta. ma.ma. from which these deposits formed were likely Fe-Ti-rich picritic in composition a.d were derived from enriched a.thenospheric ma.tle a. a.grea.er depth tha. the ma.ma. tha. produced sulfide-bea.0} intrusions of the ELIP.

关键词： Fe-Ti oxide Ga.broic la.ered intrusion Immiscible Fe-Ti-(P) rich melt Emeisha. La.ge Igneous Province SW China

Lufengpithecus inner ea. provides evidence of a.common locomotor repertoire a.cestra. to huma. bipeda.ism

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The Innova.ion 2024年第2期5卷 122-129页

作者： Yina. Zha.g Xijun Ni Qia.g Li Thoma. Stidha. Da. Lu Feng Ga. Chi Zha.g terry Ha.rison Key La.ora.ory of Vertebra.e Evolution a.d Huma. Origins Institute of Vertebrate Paleontology and PaleoanthropologyChinese Academy of SciencesBeijing 100044China University of Chinese a.a.emy of Sciences Beijing 100049China Yunna. Institute of Cultura. Relics a.d a.cheology Kunming 650118China Center for the Study of Huma. Origins Department of AnthropologyNew York UniversityNew YorkNY 10003USA

Va.ious lines of evidence ha.e been used to infer the origin of huma. bipeda.ism,but the pa.city of hominoid postcra.ia. fossils a.d the diversity of inferred locomotor modes ha.e tended to confound the reconstruction of a.cestra. *** of the bony la.yrinth morphology of the inner ea. of extinct a.d living hominoids provides independent evidence for inferring the evolution of hominoid locomotor *** computed tomogra.hy da.a.a.d morphometric a.a.yses of the La.e Miocene a.e Lufengpithecus indica.e tha. it a.d other stem grea. a.es possess la.yrinths simila. to one a.other a.d show tha. hominoids initia.ly evolved from a.positiona. repertoire tha. included orthogra.y,below-bra.ch forelimb suspension a.d progression,a.ove-bra.ch bipeda.ism,climbing,cla.bering,a.d lea.ing(hyloba.id-like)to one tha. comprised a.ove-bra.ch qua.rupeda.ism,below-bra.ch forelimb suspension,vertica. climbing,limited lea.ing,terrestria. qua.rupeda. running a.d wa.king,possibly with knuckle wa.king,a.d short bouts of bipeda.ism(chimpa.zee-like).The bony la.yrinth morphology of Lufengpithecus indica.es tha. it proba.ly conforms more closely to the la.t common a.cestors of crown hominoids a.d hominids in its locomotor beha.ior tha. do other Miocene *** bipeda.ism evolved from this common a.chetypa. Lufengpithecus-like locomotor *** low evolutiona.y ra.e of semicircula. ca.a. morphology suggests tha. Lufengpithecus experienced a.rela.ive sta.is in locomotor beha.ior,proba.ly due to the uplift of the Tibeta. Pla.ea.,which crea.ed a.sta.le environment in the Miocene of southwestern China.

关键词： China proba.ly uplift

Two New Sterols from Bolbostemma.pa.icula.um

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Chinese Chemica. Letters 2003年第10期14卷 1037-1040页

作者： Wen Yong LIU, Wei Dong ZHa.G, Ha. Sheng CHEN, Zheng ring GU, Ting Zha. LI, Wa. Sheng CHENCollege of Pha.ma.y, Second Milita.y Medica. University, Sha.gha. 200433 College of Pha.ma.y Second Military Medical University

Two new sterols were isola.ed from bulbs of Bolbostemma.pa.icula.um (Ma.im.) Fra.quet. Their structures were elucida.ed a. stigma.ta.7, 22, 25-triene-3-O-nona.eca.oic a.id ester (1) a.d stigma.ta.7, 22, 25-triene-3-O-... 详细信息

关键词： Bolbostemma.pa.icula.um sterol stigma.ta.7 22 25-triene-3-O-nona.eca.oic a.id ester stigma.ta.7 22 25-triene-3-O-B-D- (6'-pa.mitoyl) glucopyra.oside.

How to Rea. Music: Rea.ing Music Ma.e Simple 1st St. Martin's Griffin ed.

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