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In the following theoretical and numerically oriented work, a number of findings have been assembled. The newly devised VENUS-LEVIS code, designed to accurately solve the motion of energetic particles in the presence of 3D magnetic fields, relies on a non- ...
The dependence of curvature-induced secondary flow on the curvature ratio H/R and the Froude number Fr was systematically investigated in a series of 18 experiments in a sharply-curved laboratory flume. The investigated flow depths were 0.9 m, 0.13 m, 0.19 ...
This thesis is dedicated to the discovery and progressive study of quantum emitters embedded in the shell of coaxial gallium arsenide/ aluminum gallium arsenide nanowires. The bottom-up core/shell nanowires were grown in a molecular beam epitaxy machine. D ...
The dependence of curvature-induced secondary flow on the curvature ratio H/R and the Froude number Fr was systematically investigated in a series of 18 experiments in a sharply-curved laboratory flume. The investigated flow depths were 0.9 m, 0.13 m, 0.19 ...
We introduce Mellin amplitudes for correlation functions of k scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mellin amplitudes for scalar operators have simple poles with residues that facto ...
We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by providing sharp estimates on the first nonzero eigenvalue of the nonlinear operator when the Ricci curvature is bounded from below by a negative constant. We ...
We study time-like hypersurfaces with vanishing mean curvature in the (3+1) dimensional Minkowski space, which are the hyperbolic counterparts to minimal embeddings of Riemannian manifolds. The catenoid is a stationary solution of the associated Cauchy pro ...
To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel currents and the lo ...
In some computer vision applications, matching between shapes and colors are required. There are lots of similarity measures for shapes, especially curves, but as far as we know there are not many that deal with shapes and colors at the same time. In this ...
We study the nonlinear stochastic heat equation in the spatial domain R, driven by space-time white noise. A central special case is the parabolic Anderson model. The initial condition is taken to be a measure on R, such as the Dirac delta function, but th ...