684 research outputs found
Existence, uniqueness and
No full textWe consider the gradient flow of the Ambrosio–Tortorelli functional, proving existence, uniqueness and L2t(H2x) ∩ L∞t(H1x) ∩ H1t(L2x) regularity of the solution in dimension 2. Such functional is an approximation in the sense of Γ-convergence of the Mumford–Shah functional often used in problems of image segmentation and fracture mechanics. The strategy of the proof essentially follows the one of []Feng and Prohl, M2AN Math. Model. Numer. Anal. 38 (2004) 291–320] but the crucial estimate is attained employing a different technique, and in the end it allows to prove better estimates than the ones obtained in [Feng and Prohl, M2AN Math. Model. Numer. Anal. 38 (2004) 291–320]. In particular we prove that if U ⊂ ℝ2 is a bounded C2 domain, the initial data (u0, z0) ∈ [H1(U)]2 with 0 ≤ z0 ≤ 1, then for every T > 0 there exists a unique gradient flow (u(t), z(t)) of the Ambrosio–Tortorelli functional such that (u, z) ∈ [L2(0, T; H2(U)) ∩ L∞(0,T;H1(U)) ∩H1(0,T;L2(U)]2 while previously such regularity was known only for short times
The Fable of the Hot Dog Vendor
No full textHere is a Christmas tribute to hard work, to our many wonderful Stanislaus customers and their families who share our commitment to excellence. It is signed as a gift from Dino and Giovanna Cortopassi, owners of Stanislaus Food Products. The story tells of a poor immigrant setting up a hot dog stand selling the best hot dogs on the best buns with the best condiments--six of them on the first day of business, with the profits reinvested the next day in twelve hot dogs…. The business did well, and after years his son went off to college. He came back and talked the father in a time of recession into selling less than the best, but sales only slumped as a result. The son went on to work for a big chain, and the father finally sold the hot dog stand--to a hard-working young immigrant with the bright idea of selling the best hot dogs. Two things strike me as curious about the book: the self-congratulatory praise of hard work and good taste as appropriate for Christmas, and the negative character of the fable in the light of the lesson that Dino Cortopassi formulates this way at the end: Fortunately, long before I went to college, my immigrant father taught me 'You can't make good wine from bad grapes.' I believe that this book marks the first mention of hot dogs in this collection!This is a hardbound book (hard cover)Signed by Dino and Giovanna Cortopassi and also at the end by the latte
A generalised Nehari manifold method for a class of non-linear Schrödinger systems in R3
No full textWe study the existence of positive solutions of a particular elliptic system in R3 composed of two non linear stationary Schrödinger equations (NLSEs), that is -∈2Δu + V(x)u = hv(u, v), -∈2Δv + V(x)v = hu(u, v). Under certain hypotheses on the potential V and the non linearity h, we manage to prove that there exists a solution (u∈, v∈) that decays exponentially with respect to local minima points of the potential and whose energy tends to concentrate around these points, as ∈ → 0. We also estimate this energy in terms of particular ground state energies. This work follows closely what is done in [6], although here we consider a more general non linearity and we restrict ourselves to the case where the domain is R3
Italian Light, 100 lampade della collezione Cortopassi
No full textThe book, using as a pretext 100 lamps of Cortopassi collection, highlights, a history made of little events, single designers, fortuitous coincidences and exhibitions appointment constantly repeated to mark and highlight the continuous trasformations. A history made of individual researches developed for decades in an endless need for self-surprise, self-reference, self-promoting, self-criticism. Company histories linked to single or infinite designers, single or infinite products typologies, single or infinite images, are features allowing manifold historical reading in which the only certainty is the need of classifyng, in a non-reductive form, all the design made in the last 60s in Italy
Italian Light, 100 lampade della collezione Cortopassi
No full textThe book, using as a pretext 100 lamps of Cortopassi collection, highlights, a history made of little events, single designers, fortuitous coincidences and exhibitions appointment constantly repeated to mark and highlight the continuous trasformations. A history made of individual researches developed for decades in an endless need for self-surprise, self-reference, self-promoting, self-criticism. Company histories linked to single or infinite designers, single or infinite products typologies, single or infinite images, are features allowing manifold historical reading in which the only certainty is the need of classifyng, in a non-reductive form, all the design made in the last 60s in Italy
An explicit Euler method for Sobolev vector fields with applications to the continuity equation on non cartesian grids
No full textWe prove a novel stability estimate in between the regular Lagrangian flow of a Sobolev vector field and a piecewise affine approximation of such flow. This approximation of the flow is obtained by a (sort of) explicit Euler method, and it is the crucial tool to prove approximation results for the solution of the continuity equation by using the representation of the solution as the push-forward via the regular Lagrangian flow of the initial datum. We approximate the solution in two ways, using different approximations for both the flow and the initial datum. In the first case we give an estimate, which however holds only in probability, of the Wasserstein distance between the solution of the continuity equation and a discrete approximation of such solution. The approximate solution is defined as the push-forward of weighted Dirac deltas (whose centers are chosen in a probabilistic way). In the second case we give a deterministic estimate of the Wasserstein distance using a slightly different approximation of the regular Lagrangian flow and requiring more regularity on the velocity field than in the previous case. An advantage of both approximations is that they provide an algorithm which is easily parallelizable and does not rely on any particular structure of the mesh with which we discretize (only in space) the domain
Inhibition of mitochondrial function induces an integrated stress response in oligodendroglia.
No full textPanic disorder as a risk factor for post-partum depression Results from the Perinatal Depression-Research & Screening Unit (PND-ReScU) study
No full textHigh angle faulting in the Carrara marble (NW Tuscany, Italy): fault zone architeture and fluid-rock interaction.
No full textShort-Term Anxiolytic and Pro-Hypnotic Actvity of a Tryptic Hydrolysate of Bovine Αs1-Casein in Patients with Anxiety Spectrum Disorders
No full textWe conducted a prospective open-label study with 100 outpatients who had sought psychiatric consult in private clinical practice for anxiety/sleep in subthreshold/full blown DSM-IV Anxiety Spectrum Disorders. Clinicians, prescribed for 4 weeks a dietary supplement based on a formulation containing α-casozepine peptide 300 mg/day. The comparison of all rating scales mean scores reported at T0 versus T1 showed a statistically significant decrease (p<0.001). In Clinical Global Impression scale, the 54% of the sample was found to be much improved, 27% minimally improved and 19% showed no change. The 64% of the sample reported an anxiolytic effect, and among the 64 patients with sleep disorders, the 51.5% reported a pro-hypnotic effect. Considering patients in monotherapy with the dietary supplement, an anxiolytic effect was observed in 69.7% while a prohypnotic effect was observed in the 62.5% of the sample. No side-effects were reported during the treatment with no drop-out
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