Search results for "UI"
showing 10 items of 43725 documents
Derivation of a Homogenized Two-Temperature Model from the Heat Equation
2014
This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential equations governing the evolution of the temperature of each phase at a macroscopic level of description. The coupling terms describing the exchange of heat between the phases are obtained by using homogenization techniques originating from [D. Cioranescu, F. Murat: Coll\`ege de France Seminar vol. 2. (Paris 1979-1980) Res. Notes in Math. vol. 60, pp. 98-138. Pitman, Boston, London, 1982.]
Hard cap espresso extraction and liquid chromatography determination of bioactive compounds in vegetables and spices
2017
Abstract A new analytical procedure, based on liquid chromatography with diode array and fluorescence detection, has been proposed for the determination of bioactive compounds in vegetables and spices after hard cap espresso extraction. This novel extraction system has been tested for the determination of capsaicin and dihydrocapsaicin from fresh chilli and sweet pepper, piperine from ground pepper, curcumin from turmeric and curry, and myristicin from nutmeg. Extraction efficiency was evaluated by using acetonitrile:water and ethanol:water mixtures. The proposed method allows the extraction of samples with 100 mL of 60% (v/v) ethanol in water. The obtained limits of quantification for the …
Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups
2020
This note concerns low-dimensional intrinsic Lipschitz graphs, in the sense of Franchi, Serapioni, and Serra Cassano, in the Heisenberg group $\mathbb{H}^n$, $n\in \mathbb{N}$. For $1\leq k\leq n$, we show that every intrinsic $L$-Lipschitz graph over a subset of a $k$-dimensional horizontal subgroup $\mathbb{V}$ of $\mathbb{H}^n$ can be extended to an intrinsic $L'$-Lipschitz graph over the entire subgroup $\mathbb{V}$, where $L'$ depends only on $L$, $k$, and $n$. We further prove that $1$-dimensional intrinsic $1$-Lipschitz graphs in $\mathbb{H}^n$, $n\in \mathbb{N}$, admit corona decompositions by intrinsic Lipschitz graphs with smaller Lipschitz constants. This complements results that…
Discrete spectral incoherent solitons in nonlinear media with noninstantaneous response
2011
International audience; We show theoretically that nonlinear optical media characterized by a finite response time may support the existence of discrete spectral incoherent solitons. The structure of the soliton consists of three incoherent spectral bands that propagate in frequency space toward the low-frequency components in a discrete fashion and with a constant velocity. Discrete spectral incoherent solitons do not exhibit a confinement in the space-time domain, but exclusively in the frequency domain. The kinetic theory describes in detail all the essential properties of discrete spectral incoherent solitons: A quantitative agreement has been obtained between simulations of the kinetic…
Vertical versus horizontal Sobolev spaces
2020
Let $\alpha \geq 0$, $1 < p < \infty$, and let $\mathbb{H}^{n}$ be the Heisenberg group. Folland in 1975 showed that if $f \colon \mathbb{H}^{n} \to \mathbb{R}$ is a function in the horizontal Sobolev space $S^{p}_{2\alpha}(\mathbb{H}^{n})$, then $\varphi f$ belongs to the Euclidean Sobolev space $S^{p}_{\alpha}(\mathbb{R}^{2n + 1})$ for any test function $\varphi$. In short, $S^{p}_{2\alpha}(\mathbb{H}^{n}) \subset S^{p}_{\alpha,\mathrm{loc}}(\mathbb{R}^{2n + 1})$. We show that the localisation can be omitted if one only cares for Sobolev regularity in the vertical direction: the horizontal Sobolev space $S_{2\alpha}^{p}(\mathbb{H}^{n})$ is continuously contained in the vertical Sobolev sp…
Многофазные решения нелокальных симметричных редукций уравнений иерархии АКНС: общий анализ и простейшие примеры
2020
Рассмотрены нелокальные симметрии, которыми обладают все или все четные (все нечетные) уравнения из иерархии АКНС. Построены примеры решений, удовлетворяющих одновременно нескольким нелокальным уравнениям из иерархии АКНС. Проведено подробное исследование однофазных решений.
Anwendungen in Hydro- und Aerodynamik
1949
Wie in der Theorie der Hydrodynamik gezeigt wird, konnen die Geschwindigkeitskomponenten der stationaren Stromung einer reibungslosen inkompressiblen Flussigkeit durch Differentiation einer der Laplaceschen Differentialgleichung genugenden Ortsfunktion u (des Geschwindigkeitspotentials) nach den Koordinaten des Aufpunktes erhalten werden. Ist insbesondere die Stromung zweidimensional, d. h. z. B. nur von den rechtwinkligen Koordinaten x und y abhangig, so stellt die zum Geschwindigkeitspotential u (x, y) konjugierte Funktion v (x, y) die sogenannte Stromfunktion dar. Die Kurven u (x, y) = konstant stellen die Niveaulinien, diejenigen v (x, y) = konstant die Stromlinien der betrachteten Stro…
Collisions moléculaires en phase gazeuse
2019
L’étude théorique des collisions entre atomes et molécules permet, grâce à la résolution d’état à état des simulations numériques basées sur la physique quantique, une description détaillée des mécanismes mis en jeu et contribue grandement à améliorer les modèles atmosphériques et astrophysiques. Dans cet article, après avoir présenté les méthodes de dynamique actuelles, nous donnons des exemples clés d’intérêt pour le milieu interstellaire, l’atmosphère terrestre et les milieux (ultra)froids, et présentons les défis majeurs à relever.
Potentialités des lasers à fibre dans la génération de rayonnement cohérent UV
2006
Le premier laser a fibre dope aux ions de terres rares fonctionna au tout debut des annees 60. Il fournissait quelques milliwatts autour de 1 μm. Les decades suivantes virent tres peu d'ameliorations tant du cote des laboratoires que du point de vue industriel. La derniere decennie (1995/2005) vit se concretiser la seconde revolution des lasers a fibres. Deja kilowatt en continu, ils atteignent desormais les 10 13 watts/cm 2 avec des impulsions de la centaine de femtoseconde. Lors de cette presentation nous passerons en revue les potentialites des lasers a fibre. Nous decrirons les verrous technologiques qui ont ete leves ces dix dernieres annees pour les regimes CW mais aussi femtosecondes…
Analysis of the specific common competences of the Degree Courses in Speech Therapy and on the ability to apply in the didactic systems
2020
Law 11 January 2018 n. 3 places the attention of the Health Professions on the specific common skills, which must be evident in the didactic systems to protect the Profession. The purpose of this work is to identify which skills are always present among the training objectives of the Degree Courses in Speech Therapy, and which instead become "specific" for our profession. The data analysis was conducted on 27 Degree Courses in Speech Therapy present in Italy, using the portal "Universitaly" and evaluating the SUA cards of the various Degree Courses. The analysis of the data revealed that: basic skills were insufficient for the areas of labor law and corporate organization; transversal skill…