An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains

The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the fundamental tool to prove the compactness in a non coercive homogenization problem

Boundary Asymptotic Analysis for an Incompressible Viscous Flow: Navier Wall Laws

We consider a new way of establishing Navier wall laws. Considering a bounded domain $\Omega$ of R N , N=2,3, surrounded by a thin layer $\Sigma \epsilon$, along a part $\Gamma$2 of its boundary $\partial \Omega$, we consider a Navier-Stokes flow in $\Omega \cup \partial \Omega \cup \Sigma \epsilon$ with Reynolds' number of order 1/$\epsilon$ in $\Sigma \epsilon$. Using $\Gamma$-convergence arguments, we describe the asymptotic behaviour of the solution of this problem and get a general Navier law involving a matrix of Borel measures having the same support contained in the interface $\Gamma$2. We then consider two special cases where we characterize this matrix of measures. As a further application, we consider an optimal control problem within this context

A minimization approach to the wave equation on time-dependent domains

We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of suitable functionals in space-time

A minimization approach to the wave equation on time-dependent domains

We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of suitable functionals in space-time

Urografia excretora em cães e gatos. III. Patologias da cavidade abdominal

Empregou-se a urografia excretora em 256 cães e 21 gatos, clinicamente suspeitos de apresentarem patologias em órgãos abdominais, excetuando os do sistema urinário. Verificou-se que os aunentos de volume de fígado, baço, útero, próstata e as tumorações da cavidade abdominal, mostram-sedensificados pelo contraste à base de diatrizoato de sódio, sendo que as maiores freqüências de melhores evidenciações destas alterações, ocorreram após 15 minutos da injeção. Estas observações ampliaram consideravelmente as possibilidades diagnósticas.Excretory urography was performed in 256 dogs and 21 cats clinically suspectes of having abdominal disorders, except for the urinary system.The enlargements of the liver, spleen, uterus, prostate gland as well as the presence of intrabdominal masses appear with an increased radiographic density due to the sodiun diatrizoate contrast mediun. The best visualizations of these alterations were found in a higher frequency after 15 ninutes following the injection of the contrast mediun. These findings considerably widened the diagnostic possibilities

Identifying conformational changes with site-directed spin labeling reveals that the GTPase domain of HydF is a molecular switch

[FeFe]-hydrogenases catalyse the reduction of protons to hydrogen at a complex 2Fe[4Fe4S] center called H-cluster. The assembly of this active site is a multistep process involving three proteins, HydE, HydF and HydG. According to the current models, HydF has the key double role of scaffold, upon which the final H-cluster precursor is assembled, and carrier to transfer it to the target hydrogenase. The X-ray structure of HydF indicates that the protein is a homodimer with both monomers carrying two functional domains: a C-terminal FeS cluster-binding domain, where the precursor is assembled, and a N-terminal GTPase domain, whose exact contribution to cluster biogenesis and hydrogenase activation is still elusive. We previously obtained several hints suggesting that the binding of GTP to HydF could be involved in the interactions of this scaffold protein with the other maturases and with the hydrogenase itself. In this work, by means of site directed spin labeling coupled to EPR/PELDOR spectroscopy, we explored the conformational changes induced in a recombinant HydF protein by GTP binding, and provide the first clue that the HydF GTPase domain could be involved in the H-cluster assembly working as a molecular switch similarly to other known small GTPases

Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements

Motivated by models of fracture mechanics, this paper is devoted to the analysis of unilateral gradient flows of the Ambrosio-Tortorelli functional, where unilaterality comes from an irreversibility constraint on the fracture density. In the spirit of gradient flows in metric spaces, such evolutions are defined in terms of curves of maximal unilateral slope, and are constructed by means of implicit Euler schemes. An asymptotic analysis in the Mumford-Shah regime is also carried out. It shows the convergence towards a generalized heat equation outside a time increasing crack set.Comment: accepted in Ann. Inst. H. Poincar\'e, Anal. Nonli

Power calculation for gravitational radiation: oversimplification and the importance of time scale

A simplified formula for gravitational-radiation power is examined. It is shown to give completely erroneous answers in three situations, making it useless even for rough estimates. It is emphasized that short timescales, as well as fast speeds, make classical approximations to relativistic calculations untenable.Comment: Three pages, no figures, accepted for publication in Astronomische Nachrichte

On weak convergence of locally periodic functions

We prove a generalization of the fact that periodic functions converge weakly to the mean value as the oscillation increases. Some convergence questions connected to locally periodic nonlinear boundary value problems are also considered.Comment: arxiv version is already officia

Arc-Jet Testing of Ultra-High-Temperature-Ceramics

The article deals with arc-jet experiments on different Ultra High Temperature Ceramics models in high enthalpy hypersonic non equilibrium flow. Typical geometries for nose tip or wing leading edges of interest for hypersonic vehicles, as rounded wedge, hemisphere and cone are considered. Temperature measurements have been performed using pyrometers, an IR thermocamera and thermocouples. Spectral emissivity has been evaluated by suitable experimental techniques. The details of the experimental set-up, the tests procedure and the measurements are discussed in the text. The UHTC materials have been tested for several minutes to temperatures up to 2050 K showing a good resistance in extreme conditions. Fundamental differences between the various model shapes have been analysed and discussed. Numerical-experimental correlations have been carried out by a CFD code, resulting in good agreement with proper modelling. The numerical rebuilding also allowed to evaluate the catalytic efficiency and the emissivity of the materials at different temperature