Dimension dependent hypercontractivity for Gaussian kernels

We derive sharp, local and dimension dependent hypercontractive bounds on the Markov kernel of a large class of diffusion semigroups. Unlike the dimension free ones, they capture refined properties of Markov kernels, such as trace estimates. They imply classical bounds on the Ornstein-Uhlenbeck semigroup and a dimensional and refined (transportation) Talagrand inequality when applied to the Hamilton-Jacobi equation. Hypercontractive bounds on the Ornstein-Uhlenbeck semigroup driven by a non-diffusive L\'evy semigroup are also investigated. Curvature-dimension criteria are the main tool in the analysis.Comment: 24 page

Linfagioma Quístico Mediastínico: Um Caso Clínico

Os autores referem o caso clínico de uma criança de 2 anos, sexo masculino e raça negra, que apresentava estridor desde os 2 meses de idade e na qual foi diagnosticado um linfangioma quístico mediastínico. A remoção cirúrgica levou ao desaparecimento da sintomatologia. É feita uma revisão teórica sobre esta temática abrangendo aspectos epidemiológicos, clínicos e terapêuticos. Salientam a importância dos diferentes exames complementares para o diagnóstico definitivo

Efeito da pré-embebição na germinação de sementes de coentro (Coriandro sativum L.).

Este trabalho foi realizado com o objetivo de avaliar o comportamento fisiológico das sementes de coentro submetidas a diferentes períodos de imersão em água, visando acelerar e uniformizar o processo germinativo

Uniform convergence to equilibrium for granular media

We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenerately convex and non convex interaction or confinement potentials, improving in particular results by J. A. Carrillo, R. J. McCann and C. Villani. The method is based on studying the dissipation of the Wasserstein distance between a solution and the steady state

A computational framework to simulate the endolymph flow due to vestibular rehabilitation maneuvers assessed from accelerometer data

Vertiginous symptoms are one of the most common symptoms in the world, therefore investing in new ways and therapies to avoid the sense of insecurity during the vertigo episodes is of great interest. The classical maneuvers used during vestibular rehabilitation consist in moving the head in specific ways, but it is not fully understood why those steps solve the problem. To better understand this mechanism, a three-dimensional computational model of the semicircular ducts of the inner ear was built using the finite element method, with the simulation of the fluid flow being obtained using particle methods. To simulate the exact movements performed during rehabilitation, data from an accelerometer were used as input for the boundary conditions in the model. It is shown that the developed model responds to the input data as expected, and the results successfully show the fluid flow of the endolymph behaving coherently as a function of accelerometer data. Numerical results at specific time steps are compared with the corresponding head movement, and both particle velocity and position follow the pattern that would be expected, confirming that the model is working as expected. The vestibular model built is an important starting point to simulate the classical maneuvers of the vestibular rehabilitation allowing to understand what happens in the endolymph during the rehabilitation process, which ultimately may be used to improve the maneuvers and the quality of life of patients suffering from vertigo.info:eu-repo/semantics/publishedVersio

Biomechanical Study of the Vestibular System of the Inner Ear Using a Numerical Method

The inner ear has two main parts, the cochlea, dedicated to hearing, and the vestibular system, dedicated to balance. Dizziness and vertigo are the main symptoms related to vestibular disorders, which commonly affects older people. In order to eliminate these symptoms a vestibular rehabilitation is performed; this consists in a range of movements of the head, known as maneuvers, performed by a clinical professional. This procedure does not always work as expected. The aim of this work is to contribute to a better understanding on how the vestibular system works. This knowledge will help in the development of new techniques that will facilitate a more efficient rehabilitation. In order to achieve that goal, a three-dimensional numerical model of the vestibular system, containing the fluids which promote the body balance, was constructed. The vestibular components will be discretized using the finite element method and the fluid flow will be analyzed using the Smoothed Particle Hydrodynamics The results obtained with the numerical model of the semicircular canal built to study the rehabilitation process are presented and compared with other authors. The solution achieved is similar with literature.info:eu-repo/semantics/publishedVersio

Cultivo de hortaliças em várzeas amazônicas: uma técnica tradicional para evitar a água e a umidade.

A Amazônia compreende a maior extensão de floresta tropical úmida do planeta, com área de 6.099.788 km², distribuída nos territórios do Brasil (58,8%), Peru (13%), Colômbia (7,6%), Venezuela (6,5%), Bolívia (5,5%), Guiana (3,1%), Suriname (2,5%), Equador (1,6%) e Guiana Francesa (1,4%) (RAISG, 2015). A região do Brasil inserida na Amazônia continental tem superfície original estimada em 3.587.052 km², abrangendo os estados do Acre, Amapá, Amazonas, Pará, Rondônia e Roraima, sendo definida como zona de ocorrência da Hiléia (Pandolfo, 1994). Mas, em 1953, a abrangência legal da Amazônia brasileira foi estabelecida pela Lei nº 1.806, quando foram incorporados também os territórios dos estados de Tocantins, Mato Grosso e parte do Maranhão (oeste do meridiano 44º) (Brasil, 2016). O bioma amazônico é constituído por distintos ecossistemas, porém dois são mais correntes tanto no meio acadêmico quanto para o público em geral: terra firme e várzea.bitstream/item/170310/1/4900.pd