75 research outputs found
A natural Finsler--Laplace operator
We give a new definition of a Laplace operator for Finsler metric as an
average with regard to an angle measure of the second directional derivatives.
This definition uses a dynamical approach due to Foulon that does not require
the use of connections nor local coordinates. We show using 1-parameter
families of Katok--Ziller metrics that this Finsler--Laplace operator admits
explicit representations and computations of spectral data.Comment: 25 pages, v2: minor modifications, changed the introductio
ReprĂ©sentation tridimensionnelle originale dâun cas de mĂ©topisme associĂ© Ă une agĂ©nĂ©sie unilatĂ©rale complĂšte du sinus frontal gauche : intĂ©rĂȘt clinique et revue de la littĂ©rature
Metopism (complete persistence of the metopic suture in adults) is a rare but not exceptional variation of the calvaria. Hypoplasia or aplasia of the frontal sinus may be associated without evident correlation. Nevertheless, a misdiagnosis of these variations may have clinical consequences, especially in a traumatic context. The aim of this paper was to report a case of metopism associated with a unilateral aplasia of the left frontal sinus, originally illustrated with 3D image fusion volume rendering reconstructions.Le mĂ©topisme, ou persistance complĂšte de la suture mĂ©topique chez lâadulte, est une variation rare mais non exceptionnelle de la calvaria. Une hypoplasie ou une aplasie des sinus frontaux y est parfois associĂ©e, sans quâune corrĂ©lation ait pu ĂȘtre Ă©tablie entre ces deux caractĂšres. Toutefois, la mĂ©connaissance de ces variations peut ĂȘtre Ă lâorigine dâerreurs diagnostiques, en particulier dans un contexte de traumatisme crĂąnien. Le but de cet article Ă©tait de rapporter un cas de mĂ©topisme associĂ© Ă une agĂ©nĂ©sie unilatĂ©rale complĂšte du sinus frontal gauche, et illustrĂ© de façon originale Ă lâaide de reconstructions 3D obtenues par fusion dâimages par rendu volumique
Biosurfactants as additives to increase PAH release from soils or sediment and enhance remediation processes
International audienc
Biosurfactants as additives to increase PAH release from soils or sediment and enhance remediation processes
International audienc
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