Fundamental aspects of molecular plating and production of smooth crack-free Nd targets

A general understanding of the molecular plating process was obtained recently, which serves as a first step towards further improvements of the method aiming, for example, at the production of smooth, crack-free targets for nuclear physics applications. Constant current density electrolysis experiments were performed in organic media containing the model electrolyte Nd(NO₃)₃·6H₂O. The process was investigated by considering influences of the electrolyte concentration (0.11, 0.22, 0.44 mM), the surface roughness of the deposition substrates (a few tens of nm), and the plating solvent (an isopropanol/isobutanol mixture, and N,N-dimethylformamide). The response of the process to changes of these parameters was monitored by recording cell potential curves and by characterizing the obtained deposits with γ-ray spectroscopy, X-ray photoelectron spectroscopy, and atomic force microscopy. By changing the solvent from isopropanol/isobutanol mixtures to N,N-dimethylformamide, we have succeeded in producing smooth, crack-free Nd targets.     

Parameter identification in nonlocal nonlinear evolution equations

We develop an approximation framework for identifying parameters in a general class of nonautonomous, nonlocal and nonlinear evolution equations. After establishing existence and uniqueness of solutions, we present a convergence theory for Galerkin approximations to inverse problems involving these equations. Our approach relies on the theory of maximal monotone operators in Banach spaces. An application to a nonautonomous nonlinear integral equation arising in heat flow is also discussed.     

Large-scale turbulence modelling via α-regularisation for atmospheric simulations

We study the possibility of obtaining a computational turbulence model by means of non-dissipative regularisation of the compressible atmospheric equations for climate-type applications. We use an α-regularisation (Lagrangian averaging) of the atmospheric equations. For the hydrostatic and compressible atmospheric equations discretised using a finite volume method on unstructured grids, deterministic and non-deterministic numerical experiments are conducted to compare the individual solutions and the statistics of the regularised equations to those of the original model. The impact of the regularisation parameter is investigated. Our results confirm the principal compatibility of α-regularisation with atmospheric dynamics and encourage further investigations within atmospheric model including complex physical parametrisations.     

Harnuntersuchung

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Aequivalent des Indiums

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Indium

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Fenchel duality, Fitzpatrick functions and the Kirszbraun-Valentine extension theorem

We present a new proof of the classical Kirszbraun-Valentine extension theorem. Our proof is based on the Fenchel duality theorem from convex analysis and an analog for nonexpansive mappings of the Fitzpatrick function from monotone operator theory.