Growth of Sobolev norms and strong convergence for the discrete nonlinear Schr{\"o}dinger equation

We show the strong convergence in arbitrary Sobolev norms of solutions of the discrete nonlinear Schr{\"o}dinger on an infinite lattice towards those of the nonlinear Schr{\"o}dinger equation on the whole space. We restrict our attention to the one and two-dimensional case, with a set of parameters which implies global well-posedness for the continuous equation. Our proof relies on the use of bilinear estimates for the Shannon interpolation as well as the control of the growth of discrete Sobolev norms that we both prove

Global dissipative solutions of the defocusing isothermal Euler-Langevin-Korteweg equations

We construct global dissipative solutions on the torus of dimension at most three of the defocusing isothermal Euler-Langevin-Korteweg system, which corresponds to the Euler-Korteweg system of compressible quantum fluids with an isothermal pressure law and a linear drag term with respect to the velocity. In particular, the isothermal feature prevents the energy and the BD-entropy from being positive. Adapting standard approximation arguments we first show the existence of global weak solutions to the defocusing isothermal Navier-Stokes-Langevin-Korteweg system. Introducing a relative entropy function satisfying a Gronwall-type inequality we then perform the inviscid limit to obtain the existence of dissipative solutions of the Euler-Langevin-Korteweg system

Multifaceted intervention to decrease the rate of severe postpartum haemorrhage: the PITHAGORE6 cluster-randomised controlled trial.: Intervention to decrease severe postpartum haemorrhage

International audienceOBJECTIVE: Decreasing the prevalence of severe postpartum haemorrhages (PPH) is a major obstetrical challenge. These are often considered to be associated with substandard initial care. Strategies to increase the appropriateness of early management of PPH must be assessed. We tested the hypothesis that a multifaceted intervention aimed at increasing the translation into practice of a protocol for early management of PPH, would reduce the incidence of severe PPH. DESIGN: Cluster-randomised trial. POPULATION: 106 maternity units in six French regions. METHODS: Maternity units were randomly assigned to receive the intervention, or to have the protocol passively disseminated. The intervention combined outreach visits to discuss the protocol in each local context, reminders, and peer reviews of severe incidents, and was implemented in each maternity hospital by a team pairing an obstetrician and a midwife. MAIN OUTCOME MEASURES: The primary outcome was the incidence of severe PPH, defined as a composite of one or more of: transfusion, embolisation, surgical procedure, transfer to intensive care, peripartum haemoglobin decrease of 4 g/dl or more, death. The main secondary outcomes were PPH management practices. RESULTS: The mean rate of severe PPH was 1.64% (SD 0.80) in the intervention units and 1.65% (SD 0.96) in control units; difference not significant. Some elements of PPH management were applied more frequently in intervention units-help from senior staff (P = 0.005), or tended to - second-line pharmacological treatment (P = 0.06), timely blood test (P = 0.09). CONCLUSION: This educational intervention did not affect the rate of severe PPH as compared with control units, although it improved some practices

Risk of neonatal hypothyroidism in newborns from mothers exposed to CTPA during pregnancy: Ancillary data from a prospective outcome study

Background: Neonatal hypothyroidism is often raised as a potential concern for the use of computed tomography pulmonary angiography (CTPA) in pregnant women with suspected pulmonary embolism (PE). Objectives: To assess the incidence of neonatal hypothyroidism among newborns from mothers exposed to CTPA. Patients/methods: Pregnant women with clinically suspected PE were included in a multicenter, multinational prospective diagnostic management outcome study, based on pretest clinical probability assessment, high-sensitivity D-dimer testing, bilateral lower limb venous compression ultrasonography, and CTPA. Results of Guthrie tests were systematically collected for newborns of all women who required CTPA as part of the diagnostic strategy. A thyroid-stimulating hormone (TSH) level above 15 U/ml was used to define hypothyroidism. Results: Out of the 166 women included in the Swiss participating centers, 149 underwent a CTPA including 14 with twin pregnancies. Eight women suffered a pregnancy loss and results of the Guthrie test could not be retrieved for four newborns. All TSH levels were reported as being below 15 U/ml. The incidence of neonatal hypothyroidism was 0/151 (0.0%, 95% confidence interval: 0.0%-2.5%). Conclusions: We did not identify any cases of neonatal hypothyroidism in our cohort of 149 pregnant women investigated for suspected PE using a CTPA. Along with previous literature data, this provides further reassuring data regarding the use of CTPA in this indication. Keywords: Guthrie test; diagnosis; hypothyroidism; pregnancy; pulmonary embolism

Marie-Noële Grand-Mesnil. Mazarin, la Fronde et la presse, 1647-1649. Paris, Armand Colin, s. d. In-16, 304 pages. (Kiosque.)

Chauleur Andrée. Marie-Noële Grand-Mesnil. Mazarin, la Fronde et la presse, 1647-1649. Paris, Armand Colin, s. d. In-16, 304 pages. (Kiosque.). In: Bibliothèque de l'école des chartes. 1968, tome 126, livraison 1. pp. 266-269

Autour de l'équation de Schrödinger-Langevin et du système d'Euler amorti

This manuscript deals with the dynamics of the Schrödinger-Langevin equation and how it is related with the isothermal Euler-Korteweg system using the Madelung transform. The study of Gaussian solutions on the whole space highlights the long-time behaviour of the solutions of this equation. On the torus, we show the asymptotic stability of plane waves solutions. The global existence of dissipative solutions of the Euler system is obtained through the viscous limit of the damped Navier-Stokes-Korteweg system and the use of a particular relative entropy. We also look at the dynamic of the Euler system with damping.On s’intéresse dans cette thèse à la dynamique de l’équation de Schrödinger-Langevin et son lien avec le système d’Euler-Korteweg isotherme amortie via la transformation de Madelung. L’étude des solutions particulières gaussiennes sur l’espace permets d’expliciter le comportement en temps long des solutions de cette équation. Sur le tore, on montre la stabilité asymptotique des solutions de type onde plane. L’existence de solutions dissipatives au système d’Euler est obtenue par limite visqueuse du système de Navier-Stokes-Korteweg avec amortissement et la construction d’une entropie relative adéquate. On étudie également la dynamique du système d’Euler isotherme amortie

La Commission permanente des archives et de l'histoire de la Justice

Chauleur Andrée. La Commission permanente des archives et de l'histoire de la Justice. In: La Gazette des archives, n°158-159, 1992. Fonds judiciaires et recherche historique (études rassemblées à l’occasion de stages organisés par la Direction des archives de France, Paris, 9-11 octobre 1990 et 18-21 juin 1991) pp. 287-288

Around Schrödinger-Langevin equation and isothermal Euler system with damping

On s’intéresse dans cette thèse à la dynamique de l’équation de Schrödinger-Langevin et son lien avec le système d’Euler-Korteweg isotherme amortie via la transformation de Madelung. L’étude des solutions particulières gaussiennes sur l’espace permets d’expliciter le comportement en temps long des solutions de cette équation. Sur le tore, on montre la stabilité asymptotique des solutions de type onde plane. L’existence de solutions dissipatives au système d’Euler est obtenue par limite visqueuse du système de Navier-Stokes-Korteweg avec amortissement et la construction d’une entropie relative adéquate. On étudie également la dynamique du système d’Euler isotherme amortie.This manuscript deals with the dynamics of the Schrödinger-Langevin equation and how it is related with the isothermal Euler-Korteweg system using the Madelung transform. The study of Gaussian solutions on the whole space highlights the long-time behaviour of the solutions of this equation. On the torus, we show the asymptotic stability of plane waves solutions. The global existence of dissipative solutions of the Euler system is obtained through the viscous limit of the damped Navier-Stokes-Korteweg system and the use of a particular relative entropy. We also look at the dynamic of the Euler system with damping