On quantization of quadratic Poisson structures

Any classical r-matrix on the Lie algebra of linear operators on a real vector space V gives rise to a quadratic Poisson structure on V which admits a deformation quantization stemming from the construction of V. Drinfel'd. We exhibit in this article an example of quadratic Poisson structure which does not arise this way.Comment: Submitted to Comm. Math. Phys. Version 2 : error in introduction correcte

Evaluation des sequelles chez les victimes d’accidents de la circulation

La loi n°2005-86 du 15 août 2005 a défini les préjudices indemnisables suite à un accident de la circulation: les frais de soins imputables à l’accident, la perte de revenus durant la période d’incapacité temporaire de travail, l’incapacité permanente partielle, le préjudice moral et esthétique, les frais d’assistance d’une tierce personne, le préjudice économique, le préjudice moral et les frais funéraires en cas de décès. Nous proposons une méthodologie d’évaluation de ces différents chefs de préjudice notamment les incapacités en otorhino- laryngologie.Mots clés : Expertise, Dommage corporel.The law n°2005-86 of 15 August 2005, defined prejudices to indemnify after a road accident: care expenses due to the accident, loss of incomes during the period of temporary inability of work, partial permanent inability, moral and aesthetic prejudice, expenses of assistance by a third person, economic prejudice, moral prejudice and funeral expenses in case of death. We propose a methodology of assessment of these different chiefs of prejudice, notably in otorhinolaryngology inabilities.  Key words: Expertise, Bodily damage

Prise en charge des complications orbitaires et endocrâniennes des sinusites bacteriennes aiguës

Les complications orbitaires et endocrâniennes des sinusites aiguës infectieuses posent un problème diagnostique et thérapeutique Le but de notre travail est de proposer un algorithme de prise en charge de ces complications à travers une revue de littérature Les sinusites de la base du crâne (frontal, sphénoïdal et éthmoïdal) sont les plus fréquents en cause de complications endocrâniennes. Les atteintes orbitaires sont le plus souvent consécutives à des sinusites éthmoïdales chez l’enfant et fronto-maxillaires chez l’adulte. L’imagerie joue un rôle important dans le diagnostic précoce et précis de ces affections et pour guider le traitement. Le traitement du foyer sinusien est systématique aussi bien pour les complications orbitaires ou endocrâniennes si l’indication chirurgicale est retenue. Les complications orbitaires sont traitées par des antibiotiques visant les bactéries en cause avec des indications chirurgicales selon la classification scannographique de Chandler. Le traitement est désormais plus conservateur notamment pour l’abcès sous périosté. Pour les complications endocrâniennes le traitement est basé sur un traitement médical antibiotique. Le geste chirurgical serait fait en fonction du résultat de l’imagerie. Le pronostic est amélioré actuellement grâce à la précocité du diagnostic, ainsi qu’aux progrès rapportés dans le domaine de la chirurgie endonasaleMots clés : sinusite, complications orbitaires, complications endocrâniennes, imagerie, antibiotique, chirurgieOrbital and intracranial complications of acute infectious sinusitis (SIA) pose a diagnostic and therapeutic problem. The aim of our work is to provide an algorithm support these complications through literature review. Sinusitis the base of the skull (frontal, ethmoid and sphenoid) are more involved in intracranial complications. Orbital sufferers are most often secondary to ethmoidal sinusitis in children and fronto -maxillary adults. The imaging plays an important role in the early and accurate diagnosis of these diseases and to guide treatment. The treatment of sinus home is also good for the systematic orbital or intracranial complications if surgical indication is retained. Orbital complications are treated with antibiotics for the bacteria involved with some surgical indications according to CT scan classification Chandler. The treatment is now more conservative including subperiosteal abscess. Intracranial complications for treatment are based on medical treatment and between other antibiotic. The surgical procedure was done according to the result of imaging The prognosis is currently improved with early diagnosis, and the progress reported in the field of endonasal surgeryKeywords: sinusitis, orbital complications, intracranial complications, imagery, Antibiotic, surger

Self-interference in Multi-tap Channels for Full-Duplex Wireless Systems

Residual self-interference (SI) is primarily a key challenge when designing In-Band Full-duplex (IBFDX) wireless systems. Channel estimation errors are one of the major causes of residual SI. Consequently, a deeper understanding of the impact of the channel effects on the residual SI becomes indispensable. In this paper, we investigate the influence of multiple taps on the residual SI power of IBFDX systems. We first formulate the effect of having independent taps on the residual SI power mathematically. The derivations take into account the amount of interference cancellation on each tap by considering phase and amplitude estimation coefficients. We conclude that the increase in the number of taps always leads to an additive effect of the residual power. Such findings are shown mathematically and also reported in different results obtained by simulation. Finally, we compare the distribution of the residual SI power with different known distributions, concluding that Weibull and Gamma distributions are the closest ones in terms of accuracy. In-Band Full-Duplex communication Residual self-interference Independent fading taps channel.authorsversionpublishe

Uniform regularity for the Navier-Stokes equation with Navier boundary condition

We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a strong solution. This solution is uniformly bounded in a conormal Sobolev space and has only one normal derivative bounded in $L^\infty$. This allows to get the vanishing viscosity limit to the incompressible Euler system from a strong compactness argument