Structural Stability for the Brinkman Equations of Porous Media

Explicit a priori continuous dependence estimates are derived for the Brinkman equations for non-isothermal flow in porous media. Continuous dependence on the cooling coefficient is shown when a boundary condition of Newton cooling type is employed. Continuous dependence on the model itself is proved when the Boussinesq model is allowed to change to one appropriate to penetrative convection. The final result derives an a priori continuous dependence estimate for the heat supply and body force.     

L1-Poincaré and Sobolev inequalities for differential forms in Euclidean spaces

Science China Mathematics - In this paper, we prove Poincaré and Sobolev inequalities for differential forms in L1(ℝn). The singular integral estimates that it is possible to use for Lp,...     

Compatibility of paroxetine hydrochloride and GW597599B

In this study, we present a full thermal characterization of antidepressant paroxetine and summarize the results for another drug which treats depression: GW597599B. The main aim is to analyze how the thermodynamic and structural properties of these compounds are modified when the two drugs are mixed in the solid state. We begin by putting into evidence how dehydration and melting concur in shaping the calorimetric curves of paroxetine under different experimental conditions. Equipped with this knowledge, we are able to interpret the thermal response of the physical mixtures paroxetine:GW597599B, in terms of partial eutectic formation and simple superposition of contribution from the two compounds.     

Nitroxide Radical Spin Probes for Exploring Halogen‐Bonding Interactions in Solution

The synthesis of 2,3,5,6‐tetrafluoro‐4‐iodobenzyl tert‐butyl nitroxide ( 2‐I ) and its use as spin probe for the detection of halogen‐bond (XB) complexes by EPR is reported. Formation of a XB complex between 2‐I and several XB acceptors was evidenced by a significant change in the value of the benzylic hyperfine splitting upon complexation. Thermodynamic parameters for the formation of XB complex with quinuclidine were obtained by recording EPR spectra in the temperature range 203–294 K. In addition, competitive experiments allowed for the measurement of the equilibrium constant of the XB complex with a chloride anion. The proposed procedure constitutes the first direct EPR methodology providing a reliable determination of the strength of the XB bond in solution.     

On the behaviour of one-dimensional waves in thermo-viscoelastic fluids

Summary We investigate the behaviour of one-dimensional acceleration waves propagating into a thermo-viscoelastic fluid through a model characterized by constitutive equations with both thermal and viscous relaxation times. The differential equation governing the amplitude of thermomechanical longitudinal waves is shown to be a Bernoulli equation. Waves entering a region at rest in thermal equilibrium are precisely discussed: our results confirm that longitudinal waves are not exceptional. Finally, attention is confined to purely mechanical transverse waves: it is proved that the amplitude of such waves satisfies a linear equation, hence transverse waves propagating into a region at equilibrium are exceptional.

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Sommario Si analizza il comportamento delle onde di accelerazione unidimensionali che si propagano in un fluido termo-viscoelastico caratterizzato da equazioni costitutive con tempi di rilassamento sia termico che viscoso. Si dimostra che l'ampiezza delle onde longitudinali termomeccaniche soddisfa un'equazione differenziale del tipo di Bernoulli. Si esaminano più in dettaglio le onde che entrano in regioni in equilibrio, termico e meccanico: i risultati ottenuti confermano che le onde longitudinali ammesse dalla teoria non sono eccezionali. Infine, si concentra l'attenzione sulle onde trasversali puramente meccaniche: si prova che l'ampiezza di tali onde soddisfa un'equazione lineare, quindi le onde trasversali propagantisi in regioni in equilibrio sono eccezionali.

     

Kirchhoff plates with viscous boundary dissipation

In this paper, we confine our attention to Kirchhoff thin plates in presence of boundary viscoelastic dissipative mechanisms, in order to investigate the well-posedness and the asymptotic behavior within the minimal state approach, following the guidelines proposed in Deseri et al. (Arch Rational Mech Anal 181:43–96, 2006) [see also Fabrizio et al. (Arch Rational Mech Anal 198:189–232, 2010)].     

Quantum dot nanostructures and molecular beam epitaxy

In order to fulfil the requirements of the information society there is a growing demand for nanoelectronic devices with new or largely improved performances; these devices are based on low-dimensional carrier systems, and in particular on zero-dimensional ones, that have peculiar properties as compared to the three- and two-dimensional counterparts.

In this paper we review and discuss the basic features of the Molecular Beam Epitaxy growth of quantum dots that are very interesting archetypes of zero-dimensional nanostructures; quantum dots can be obtained by the three-dimensional growth of self-assembled nanoislands that takes place during the preparation of structures based on highly lattice-mismatched materials. Aspects of the morphological, electronic and optical properties of quantum dots will be reviewed and it will be shown how the energy of confined levels for carriers is determined by design and growth parameters of nanostructures and how quantum dot emission wavelengths can be tuned in the windows of optoelectronic and photonic interest, such as that at 0.98, 1.31 and 1.55 μm. An overview of quantum dot devices will be given, with particular attention paid to the quantum dot laser, unarguably the most important application of quantum dots so far.     

Increasing the persistency of stable free-radicals: synthesis and characterization of a nitroxide based [1]rotaxane

A persistent paramagnetic [1]rotaxane based on beta-cyclodextrin showing an increased persistency under reductive conditions has been prepared and characterized for the first time.