Numerical Analysis of a Combustion Model for Layered Media Via Mathematical Homogenization

We propose to investigate a mathematical modelfor combustion in a rod made of periodically alternating thinlayers of two combustible materials such as those occurring ingun propellants. We apply the homogenization theory to resolvethe fast oscillations of the model’s coefficients across adjacentlayers, and set up numerical simulations to better understandthe reactions occurring in such media

Variational problems in weighted Sobolev spaces on non-smooth domains

We study the Poisson problem − Δ u = f -\Delta u = f and the Helmholtz problem − Δ u + λ u = f -\Delta u + \lambda u = f in bounded domains with angular corners in the plane and u = 0 u=0 on the boundary. On non-convex domains of this type, the solutions are in the Sobolev space H 1 H^1 but not in H 2 H^2 in general, even though f f may be very regular. We formulate these as variational problems in weighted Sobolev spaces and prove existence and uniqueness of solutions in what would be weighted counterparts of H 2 ∩ H 0 1 H^2 \cap H^1_0 . The specific forms of our variational formulations are motivated by, and are particularly suited to, applying a finite element scheme for solving the time-dependent Navier-Stokes equations of fluid mechanics

Variational Problems in Weighted Sobolev Spaces with Applications to Computational Fluid Dynamics

We study variational problems in weighted Sobolev spaces on bounded domains with angular points. The specific forms of these variational formulations are motivated by, and applied to, a finite element scheme for the time-dependent Navier-Stokes equations. Specifically, we introduce new variational formulations for the Poisson and Helmholtz problems in what would be a weighted counterpart of H

Bouncing on a slope

We analyze the motion of a point-mass projectile shot uphill above a slanted surface, which bounces from it without loss of energy. We show that consecutive bounces occur in equal time intervals and obtain an explicit formula for the number of uphill bounces before the motion reverses and the projectile heads downhill. Additionally, we show that the projectile rises to the same height above the surface on each bounce, and we determine the necessary and sufficient conditions under which it will retrace its path upon reversal.info:eu-repo/semantics/publishedVersio

Informar o Óbito aos Familiares: Significados e Sentimentos dos Médicos / To Inform the Death to One's Relatives: Meanings and Feelings of the Doctors

Objetivo: Conhecer os significados e sentimentos de médicos de duas Instituições de Saúde, ao terem que informar o óbito aos familiares. Materiais e métodos: Estudo qualitativo, exploratório, descritivo, transversal e de campo. Contou com 20 médicos participantes, amostragem do tipo não-probabilística intencional. Realizada a coleta de dados por meio de entrevista semiestruturada, após aprovação do Comitê de Ética em Pesquisa. Na análise de dados foi utilizado o método do Discurso do Sujeito Coletivo sob o referencial das Representações Sociais. Resultados: Os resultados revelaram que os significados de informar o óbito aos familiares relatados, com maior frequência, pelos médicos foram: “Situação difícil” e “Condição inerente da profissão”. Em relação aos sentimentos relatados com maior frequência foram: “Triste” e “Impotência”. Conclusão: Divergindo do senso comum, este estudo evidenciou que os médicos, mesmo não transparecendo, sofrem diante do óbito de seus pacientes.  Palavras Chave: Morte, comunicação, família.  Objective: To know the meanings and feelings of doctors of two Institutions of Health, when having to inform the death of a person to their relatives. Material and Methods: Qualitative, exploratory, descriptive, transverse and of field study. It was performed with 20 doctors and the sampling was of the non-probabilistic intentional type. Accomplished the collection of data through semi-structured interview, after approval of the Committee of Ethics in Research. In the analysis of data the method of the Collective Subject's Speech was used under the reference of the Social Representations. Results: The results revealed that the meanings of informing the death to one’s relatives, more frequently, for the doctors were: "Difficult situation" and "Inherent Condition of the profession". In relation to the feelings related, the most frequent were: "Sad" and "Helplessness". Conclusion: Diverging from the common sense, this study suggested that the doctors, even when not showing, suffer with their patients' death.  Keywords: Death, communication, family