44 research outputs found
Degenerate nonlocal Cahn-Hilliard equations: Well-posedness, regularity and local asymptotics
No full textExistence and uniqueness of solutions for nonlocal Cahn-Hilliard equations with degenerate potential is shown. The nonlocality is described by means of a symmetric singular kernel not falling within the framework of any previous existence theory. A convection term is also taken into account. Building upon this novel existence result, we prove convergence of solutions for this class of nonlocal Cahn-Hilliard equations to their local counterparts, as the nonlocal convolution kernels approximate a Dirac delta. Eventually, we show that, under suitable assumptions on the data, the solutions to the nonlocal Cahn-Hilliard equations exhibit further regularity, and the nonlocal-to-local convergence is verified in a stronger topology
Local asymptotics for nonlocal convective Cahn-Hilliard equations with W1,1 kernel and singular potential
No full textWe prove existence of solutions and study the nonlocal-to-local asymptotics for nonlocal, convective, Cahn-Hilliard equations in the case of a W1,1 convolution kernel and under homogeneous Neumann conditions. Any type of potential, possibly also of double-obstacle or logarithmic type, is included. Additionally, we highlight variants and extensions to the setting of periodic boundary conditions and viscosity contributions, as well as connections with the general theory of evolutionary convergence of gradient flows
Lolipop: A downtown Auckland view on Japanese street fashion
No full textLoli-Pop brings together the relationships between the Loli-Goth and popular culture, and the strong association of the Loli-Goth with the doll, including a selection from Hardy Bernal’s personal collection of Japanese Lolita dolls. This display is supported by the highlight of the show, five full-sized garments created and constructed by AUT University Fashion staff members, Angie Finn, Yvonne Stewart, Lize Niemczyk, Gabriella Trussardi, Carmel Donnelly and Kathryn Hardy Bernal, which demonstrate the designers’ own interpretations of Gothic & Lolita, inspired by Japanese street style. The exhibit is complimented by a backdrop of photographs that illustrate the impact of the outfits when worn, modelled by AUT University Bachelor of Fashion Design students, Emily Huang, Shangshang Cookie Wang, Emily Wang, Shiahug-Wen Sean Kuo and Yanling Wang. \ud
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Nonlocal-to-Local Convergence of Cahn–Hilliard Equations : Neumann Boundary Conditions and Viscosity Terms
No full textWe consider a class of nonlocal viscous Cahn-Hilliard equations with Neumann boundary conditions for the chemical potential. The double-well potential is allowed to be singular (e.g. of logarithmic type), while the singularity of the convolution kernel does not fall in any available existence theory under Neumann boundary conditions. We prove well-posedness for the nonlocal equation in a suitable variational sense. Secondly, we show that the solutions to the nonlocal equation converge to the corresponding solutions to the local equation, as the convolution kernels approximate a Dirac delta. The asymptotic behaviour is analyzed by means of monotone analysis and Gamma convergence results, both when the limiting local Cahn-Hilliard equation is of viscous type and of pure type.publishe
Local asymptotics and optimal control for nonlocal Cahn-Hilliard systems
No full textIn this talk, we will consider a class of nonlocal Cahn-Hilliard equations both with Dirichlet and with Neumann boundary conditions for the chemical potential. After discussing local asymptotics in different settings, we will specify our analysis to a tumor growth model coupling a viscous Cahn-Hilliard equation describing the tumor proportion with a reaction-diffusion equation for the nutrient phase parameter. In particular, we will discuss first-order optimality conditions for suitable associated optimal control problems. This is based on a series of joint works with H. Ranetbauer, E. Rocca (Pavia), L. Scarpa (Milan), and L. Trussardi (Graz)
I livelli sierici di CA 125 e BNP correlano con la capacità funzionale, misurata con il test del cammino, in pazienti con scompenso cardiaco cronico
No full textHydrodynamic chromatography coupled to single-particle ICP-MS to elucidate the fate of silver nanoparticles in human plasma
No full textMaterials containing silver nanoparticles (AgNPs) are increasingly used in a wide variety of commercial
products, as they are innovative carriers of the metal and optimize its antibacterial action. Over the last few
years, our research group has demonstrated that when AgNPs are used for the treatment of skin burns, they
can be massively released, penetrate deeply into the dermis, are taken up by the cells and probably interact
with mitochondria. However, no data are currently available on the subsequent chemical transformations
and fate of AgNPs in the human body, which are key factors to establish their possible toxicity.Here we
present a new method for the simultaneous determination of dissolved silver and characterization of AgNPs
in human serum based on hydrodynamic chromatography (HDC) hyphenated to ICP-quadrupole MS in
single particle (SP) detection mode. While HDC separates NPs based on their hydrodynamic diameter and
SP provides information on their mass distribution, both techniques have the potential to physically and
statistically (respectively) discriminate the signal of NPs from that of dissolved Ag, but this advantage has
not yet been exploited. We combined the two techniques and a home-made software based on a new
algorithm able to process the raw ICP-MS data (signal intensity vs time), and deconvolute for the first time
the signal of dissolved Ag from that of AgNPs when HDC is coupled to SP. With a 15-minutes analysis and
a single calculation run, our method provides the chromatogram of dissolved Ag, the concentrations of
which can be found by external calibration, as well as the distribution of NPs in terms of hydrodynamic
diameter, mass-derived diameter, size-dependent number of detected NPs, total numerical concentration,
and size-dependent total mass concentration. A variety of 3D chromatograms can be obtained from the
results to achieve a comprehensive characterization of AgNPs. Standards of citrate-stabilized AgNPs
suspensions with a diameter of 100 to 10 nm were used for the external calibration of the elution time,
signal intensity as function of the size, number of detected NPs as function of the numerical concentration
and NPs transport efficiency with a R2>0.98 in all cases. Our method allows to us detect AgNPs in solution
with limits of 10-20 nm diameter and at a ppt concentration range (depending on the diameter). It is a
powerful approach for the detailed characterization of the dynamics of AgNPs in solution, and has proved to
be robust and reproducible also for the direct analysis of diluted human plasma.The method was applied to
the analysis of pure AgNPs and AgNPs-coated dressing incubated in whole human plasma. The results are
discussed in the context of compatible experiments carried out using synchrotron radiation μXANES
(unpublished data). In combination with our recent studies, these results provide new and complete insights
into the metallomics of AgNPs in humans in real hospital conditions
