On the local Tamagawa number conjecture for Tate motives

There is a wonderful conjecture of Bloch and Kato that generalizes both the analytic Class Number Formula and the Birch and Swinnerton-Dyer conjecture. The conjecture itself was generalized by Fukaya and Kato to an equivariant formulation. In this thesis, I provide a new proof for the equivariant local Tamagawa number conjecture in the case of Tate motives for unramified fields, using Iwasawa theory and (φ,Γ)-modules, and provide some work towards extending the proof to tamely ramified fields.

Velocity resolved - scalar modeled simulations of high Schmidt number turbulent transport

The objective of this thesis is to develop a framework to conduct velocity resolved - scalar modeled (VR-SM) simulations, which will enable accurate simulations at higher Reynolds and Schmidt (Sc) numbers than are currently feasible. The framework established will serve as a first step to enable future simulation studies for practical applications. To achieve this goal, in-depth analyses of the physical, numerical, and modeling aspects related to Sc>>1 are presented, specifically when modeling in the viscous-convective subrange. Transport characteristics are scrutinized by examining scalar-velocity Fourier mode interactions in Direct Numerical Simulation (DNS) datasets and suggest that scalar modes in the viscous-convective subrange do not directly affect large-scale transport for high Sc. Further observations confirm that discretization errors inherent in numerical schemes can be sufficiently large to wipe out any meaningful contribution from subfilter models. This provides strong incentive to develop more effective numerical schemes to support high Sc simulations. To lower numerical dissipation while maintaining physically and mathematically appropriate scalar bounds during the convection step, a novel method of enforcing bounds is formulated, specifically for use with cubic Hermite polynomials. Boundedness of the scalar being transported is effected by applying derivative limiting techniques, and physically plausible single sub-cell extrema are allowed to exist to help minimize numerical dissipation. The proposed bounding algorithm results in significant performance gain in DNS of turbulent mixing layers and of homogeneous isotropic turbulence. Next, the combined physical/mathematical behavior of the subfilter scalar-flux vector is analyzed in homogeneous isotropic turbulence, by examining vector orientation in the strain-rate eigenframe. The results indicate no discernible dependence on the modeled scalar field, and lead to the identification of the tensor-diffusivity model as a good representation of the subfilter flux. Velocity resolved - scalar modeled simulations of homogeneous isotropic turbulence are conducted to confirm the behavior theorized in these a priori analyses, and suggest that the tensor-diffusivity model is ideal for use in the viscous-convective subrange. Simulations of a turbulent mixing layer are also discussed, with the partial objective of analyzing Schmidt number dependence of a variety of scalar statistics. Large-scale statistics are confirmed to be relatively independent of the Schmidt number for Sc>>1, which is explained by the dominance of subfilter dissipation over resolved molecular dissipation in the simulations. Overall, the VR-SM framework presented is quite effective in predicting large-scale transport characteristics of high Schmidt number scalars, however, it is determined that prediction of subfilter quantities would entail additional modeling intended specifically for this purpose. The VR-SM simulations presented in this thesis provide us with the opportunity to overlap with experimental studies, while at the same time creating an assortment of baseline datasets for future validation of LES models, thereby satisfying the objectives outlined for this work.

Adaptações transgeracionais do pâncreas endócrino em camundongos provenientes de restrição proteica materna In Utero

A exposição materna durante o período gestacional a uma dieta restrita em proteínas (LP) prejudica o desenvolvimento do pâncreas endócrino em sua prole e aumenta a susceptibilidade à hipertensão, diabetes e obesidade na vida adulta. Há evidências de que esse fenômeno pode persistir em gerações subsequentes. Objetivou-se avaliar o efeito da restrição proteica sobre o metabolismo da glicose e morfometria pancreática na prole F3 de camundongos ao nascimento e ao desmame. Para tanto, fêmeas virgens de camundongos Suíços (F0) foram acasaladas e receberam dieta normo-proteica (19% de proteína - NP) ou uma dieta isocalórica restrita em proteínas (5% de proteína - LP) durante toda a gravidez. Durante a lactação e o restante do experimento, todos os grupos receberam a dieta NP. Os filhotes machos foram nomeados F1 (NP1 e LP1). As fêmeas F1 e F2 foram acasaladas para produzir F2 e F3 (NP2, LP2, NP3 e LP3), respectivamente. Semanalmente, os filhotes foram pesados e calculada a taxa de crescimento alométrico (log [massa corporal] = log a + log b [idade]). Os animais foram sacrificados nos dias 1 e 21 de idade, a glicemia foi determinada e o pâncreas retirado, pesado e analisado por estereologia e imunofluorescência; a insulina foi mensurada aos 21 dias. Como resultados, os filhotes restritos na primeira geração (LP1) foram menores ao nascer, mas apresentaram um crescimento acelerado nos primeiros sete dias de vida, mostrando catch-up com os controles; a prole LP2 demonstrou a maior massa corporal ao nascimento e tiveram uma taxa de crescimento mais lenta durante a lactação; não houve diferença na massa corporal e na taxa de crescimento na geração F3. A massa de pâncreas foi diminuída em LP1-LP3 ao nascimento, contudo foi aumentada em LP2 ao desmame. A densidade de volume e o diâmetro das ilhotas foram menores em todos os grupos restritos no dia 1 e 21, somente LP1 teve o menor número de ilhotas. Ao nascer, a massa de células beta foi menor em LP1-LP3 e permaneceu baixa durante a lactação. No dia 1 e 21, os filhotes foram normoglicêmicos, entretanto foram hipoinsulinêmicos ao desmame. Portanto, a restrição de proteínas em camundongos durante a gestação produz alterações morfológicas nas ilhotas pancreáticas, sugerindo que a homeostase da glicose foi mantida por um aumento da sensibilidade à insulina durante os primeiros estágios de vida na prole ao longo de três gerações consecutivas.

Radioautographic method of determination of number of bacteria in water-bodies [Translation from: Informatsionnyi Byulleten Biologiya Vnutrennikh Vod No.26, 65-67, 1975]

The radioautographic method of determination of the number of autotrophic microorganisms was initially suggested for counting methane-oxidizing bacteria. With the help of this method colonies of hydrogen-oxidizing bacteria are differentiated even more clearly from heterotrophic. Under laboratory conditions it was shown that colonies grown on membrane filters from a pure culture of thionic bacteria on a nutrient medium with radio- active carbonate, give better prints on film. This method was tested by the authors for determining the number of these bacteria in the meromictic Lake Vae de San Juan during the expedition to Cuba in the summer of 1973. The study showed that that the thionic bacteria are found throughout the pelagial. It proved that the thionic bacteria can be well considered in water-bodies by the radioautographic method.

Number of phase levels of a Talbot array illuminator

The number of phase levels of a Talbot array illuminator is an important factor in the estimation of practical fabrication complexity and cost. We show that the number it) of phase levels of a Talbot array illuminator has a simple relationship to the prime number. When there is an alternative pi -phase modulation in the output array, the relations are similar. (C) 2001 Optical Society of America OCIS codes: 070.6760, 050.1950, 050.1980.

Part I: Latent heat of vaporization of n-decane. Part II: Heat and mass transfer from a cylinder placed in a turbulent air stream - Sherwood and Frössling numbers as a function of free stream turbulence level and Reynolds number

Part I

The latent heat of vaporization of n-decane is measured calorimetrically at temperatures between 160° and 340°F. The internal energy change upon vaporization, and the specific volume of the vapor at its dew point are calculated from these data and are included in this work. The measurements are in excellent agreement with available data at 77° and also at 345°F, and are presented in graphical and tabular form.

Part II

Simultaneous material and energy transport from a one-inch adiabatic porous cylinder is studied as a function of free stream Reynolds Number and turbulence level. Experimental data is presented for Reynolds Numbers between 1600 and 15,000 based on the cylinder diameter, and for apparent turbulence levels between 1.3 and 25.0 per cent. n-heptane and n-octane are the evaporating fluids used in this investigation.

Gross Sherwood Numbers are calculated from the data and are in substantial agreement with existing correlations of the results of other workers. The Sherwood Numbers, characterizing mass transfer rates, increase approximately as the 0.55 power of the Reynolds Number. At a free stream Reynolds Number of 3700 the Sherwood Number showed a 40% increase as the apparent turbulence level of the free stream was raised from 1.3 to 25 per cent.

Within the uncertainties involved in the diffusion coefficients used for n-heptane and n-octane, the Sherwood Numbers are comparable for both materials. A dimensionless Frössling Number is computed which characterizes either heat or mass transfer rates for cylinders on a comparable basis. The calculated Frössling Numbers based on mass transfer measurements are in substantial agreement with Frössling Numbers calculated from the data of other workers in heat transfer.

On the number of generations of tendipes in collective ponds in Kuibyshchevskoi district [Translation from: C.R. Acad.Sci. U.R.S.S. 95, 1113-1115, 1954]

Three ponds were chosen for this study. The two lower ones were of 2 - 4 hectares in area, the depth of the littoral zone was 2.5 - 3 metres at the time of maximum flooding and the mud which covered the floor of the ponds was homogeneous and autochthonous in nature with very few vegetable remnants. The ponds which were originally set up in 1950. were intended for water supply and populated with Crucian Carp (for human consumption). A survey was done in the ponds in order to establish number and biomass of Tendipes semireductus. The author concludes that in these ponds T.semireductus has 2-3 generations per year.

A kinetic theory description for external spherical flows with arbitrary Knudsen number by a moment method

The Maxwell integral equations of transfer are applied to a series of problems involving flows of arbitrary density gases about spheres. As suggested by Lees a two sided Maxwellian-like weighting function containing a number of free parameters is utilized and a sufficient number of partial differential moment equations is used to determine these parameters. Maxwell's inverse fifth-power force law is used to simplify the evaluation of the collision integrals appearing in the moment equations. All flow quantities are then determined by integration of the weighting function which results from the solution of the differential moment system. Three problems are treated: the heat-flux from a slightly heated sphere at rest in an infinite gas; the velocity field and drag of a slowly moving sphere in an unbounded space; the velocity field and drag torque on a slowly rotating sphere. Solutions to the third problem are found to both first and second-order in surface Mach number with the secondary centrifugal fan motion being of particular interest. Singular aspects of the moment method are encountered in the last two problems and an asymptotic study of these difficulties leads to a formal criterion for a "well posed" moment system. The previously unanswered question of just how many moments must be used in a specific problem is now clarified to a great extent.

Small scale turbulence in high Karlovitz number premixed flames

The purpose of this thesis is to characterize the behavior of the smallest turbulent scales in high Karlovitz number (Ka) premixed flames. These scales are particularly important in the two-way coupling between turbulence and chemistry and better understanding of these scales will support future modeling efforts using large eddy simulations (LES). The smallest turbulent scales are studied by considering the vorticity vector, ω, and its transport equation.

Due to the complexity of turbulent combustion introduced by the wide range of length and time scales, the two-dimensional vortex-flame interaction is first studied as a simplified test case. Numerical and analytical techniques are used to discern the dominate transport terms and their effects on vorticity based on the initial size and strength of the vortex. This description of the effects of the flame on a vortex provides a foundation for investigating vorticity in turbulent combustion.

Subsequently, enstrophy, ω² = ω • ω, and its transport equation are investigated in premixed turbulent combustion. For this purpose, a series of direct numerical simulations (DNS) of premixed n-heptane/air flames are performed, the conditions of which span a wide range of unburnt Karlovitz numbers and turbulent Reynolds numbers. Theoretical scaling analysis along with the DNS results support that, at high Karlovitz number, enstrophy transport is controlled by the viscous dissipation and vortex stretching/production terms. As a result, vorticity scales throughout the flame with the inverse of the Kolmogorov time scale, τ_η, just as in homogeneous isotropic turbulence. As τ_η is only a function of the viscosity and dissipation rate, this supports the validity of Kolmogorov’s first similarity hypothesis for sufficiently high Ka numbers (Ka ≳ 100). These conclusions are in contrast to low Karlovitz number behavior, where dilatation and baroclinic torque have a significant impact on vorticity within the flame. Results are unaffected by the transport model, chemical model, turbulent Reynolds number, and lastly the physical configuration.

Next, the isotropy of vorticity is assessed. It is found that given a sufficiently large value of the Karlovitz number (Ka ≳ 100) the vorticity is isotropic. At lower Karlovitz numbers, anisotropy develops due to the effects of the flame on the vortex stretching/production term. In this case, the local dynamics of vorticity in the strain-rate tensor, S, eigenframe are altered by the flame. At sufficiently high Karlovitz numbers, the dynamics of vorticity in this eigenframe resemble that of homogeneous isotropic turbulence.

Combined, the results of this thesis support that both the magnitude and orientation of vorticity resemble the behavior of homogeneous isotropic turbulence, given a sufficiently high Karlovitz number (Ka ≳ 100). This supports the validity of Kolmogorov’s first similarity hypothesis and the hypothesis of local isotropy under these condition. However, dramatically different behavior is found at lower Karlovitz numbers. These conclusions provides/suggests directions for modeling high Karlovitz number premixed flames using LES. With more accurate models, the design of aircraft combustors and other combustion based devices may better mitigate the detrimental effects of combustion, from reducing CO₂ and soot production to increasing engine efficiency.

Efeito da restrição protéica materna durante a lactação sobre a resposta de timócitos da prole jovem de ratos Wistar

Neste estudo investigamos as consequências da restrição protéica materna durante a lactação sobre a resposta de timócitos da prole jovem de ratos Wistar (grupo D), identificando o papel da leptina nas alterações encontradas. Observamos que, quando comparados ao grupo controle, os animais do grupo D apresentaram, aos 30 dias de vida, uma diminuição significativa tanto do peso corporal quanto do timo. Contudo, não observamos alterações no número de timócitos, no perfil de células CD4/CD8 ou na resposta proliferativa destas células. Sistemicamente, o grupo D não apresentou alterações nos níveis séricos de corticosterona ou no conteúdo nuclear do seu receptor (GR) em timócitos. Apesar dos animais D não apresentarem alterações nos níveis circulantes de leptina, a expressão do seu receptor, ObRb, estava aumentada nos timócitos. Esta alteração foi acompanhada pela amplificação da resposta de sinalização da leptina nestas células, observada por um aumento na ativação de JAK2 e STAT3 após a incubação com leptina. Os timócitos isolados do grupo D apresentaram uma diminuição significativa na taxa de apoptose espontânea quando comparados ao grupo controle. Corroborando estes resultados, demonstramos que os timócitos dos animais D apresentam um aumento na expressão da proteína antiapoptótica Bcl-2 e uma redução da expressão da proteína próapoptótica Bax, além de um maior conteúdo de Pró-caspase-3, entretanto, não encontramos alterações no conteúdo de Bad. Além disso, timócitos do grupo D apresentaram um maior conteúdo da subunidade p65 do NFĸB no núcleo, associado a uma menor expressão de IĸBα no citoplasma. Finalmente, observamos um aumento na expressão do RNAm para o gene ob (leptina) mas não para o gene db (receptor) no microambiente tímico dos animais D. Em conjunto, nossos dados mostram que a restrição protéica durante a lactação afeta a homeostase tímica, induzindo uma maior atividade de leptina, que protege os timócitos da apoptose na prole jovem, sugerindo que esses animais poderiam ser mais suscetíveis a alterações na resposta imune na vida aduta.

Efeitos da programação por nicotina durante a lactação nos níveis de comportamentos associados à ansiedade, busca por novos estímulos e aprendizagem/memória em ratos Wistar adolescentes e adultos

A exposição materna à nicotina durante a lactação em ratos programa para hiperleptinemia e hipotireoidismo na prole adulta. Alterações nos níveis desses hormônios alteram o comportamento. Por isso, resolvemos investigar os efeitos comportamentais a curto e a longo prazo da programação neonatal pela nicotina em ratos Wistar. Foram implantadas minibombas em ratas lactantes contendo nicotina (NIC = 6mg/Kg/Dia) ou uma solução com uma concentração equivalente de solução salina (CON) do 2o dia ao 19o dia de vida pós natal. Sessenta e dois ratos NIC e 48 CON foram testados de acordo com o seguinte protocolo: 1) Em PN30 ou PN75 foram avaliados os níveis de ansiedade no labirinto em cruz elevado (LCE). Entradas em cada área do labirinto (braços abertos e fechados e centro) foram gravadas por um período de 10 minutos; 2) Uma hora após, os animais foram testados no campo vazado (CV) para analisarmos o comportamento de busca por novos estímulos. Os animais tinham 10 minutos para explorar o aparelho. O número de orifícios explorados foi anotado. 3) Em PN31-35 ou PN76-80 o animal foi submetido ao labirinto aquático radial de oito braços (LAROB) para avaliarmos a memória e o aprendizado. Cada animal foi testado 4 vezes por dia durante 5 dias consecutivos sendo a plataforma mantida no mesmo braço durante os 4 primeiros dias e trocada no quinto dia. Eles tinham 2 minutos para encontrar a plataforma de escape. A latência para encontrar a plataforma foi anotada. O percentual de tempo gasto no braço aberto no LCE para os animais NIC em PN30 (6,41,1 %) foi significativamente (ANOVA: P=0,024) menor que o grupo controle PN30 (9,91,4 %). O percentual de entradas no braço aberto foi significativamente menor (ANOVA: P=0,04) para os animais do grupo NIC em PN30 (32,42,9 %) quando comparados com o grupo controle PN30 (38,51,8 %). Não foi observada diferença (ANOVA: P>0,1) entre os grupos no número de entradas no braço fechado para as duas idades. Para o CV não houve diferença entre os grupos para as duas idades (ANOVA: P>0,1). No LAROB, os animais PN75 NIC (27424 s) tiveram uma diminuição significativa (ANOVA: P<0,006) na latência para encontrar a plataforma quando comparado ao grupo controle PN75 nos 4 primeiros dias (41045 s), não havendo diferença no 5o dia. Não houve diferença em PN30 (ANOVA:P>0,1). A programação neonatal pela nicotina resultou em um efeito a curto prazo no aumento dos níveis de ansiedade na adolescência. Não foi observada diferença no comportamento de busca por novos estímulos. Entretanto a programação neonatal por nicotina resultou em um efeito a longo prazo no comportamento-cognitivo observado pelo melhor desempenho na memória/aprendizado quando adulto.