The Stokes problem in a tridimensional axisymmetric domain results into a countable family of two-dimensional problems when using the Fourier coefficients with respect to the angular variable. Relying on this dimension reduction, we propose and study a mortar spectral element discretization of the problem. Numerical experiments confirm the efficiency of this method.

In a three-dimensional context, it is shown how wave functions may be chosen from among the solutions of the Schrodinger equation in a consistent way without demanding single valuedness, but by imposing an invariance condition on the domain of certain given linear operators. This leads to multiple-valued wave functions in certain situations, but disallows unquantized monopoles and "unusual" ang...

We study the growth of solutions of higher order complex differential equations in an angular domain of the unit disc instead of the whole unit disc. Some conditions on coefficient functions, which will guarantee all non-trivial solutions of the higher order differential equations have fast growing, are found in this paper. AMS (2010) Mathematics Subject Classification: 34M10, 30D35

By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic function f, namely a Bloch direction and a pseudo-T direction for f.

A sinogram is image representation of raw data obtained from projections of the object for image reconstruction. Radial sinogram domain filtering, i.e. filtering along the projections of the sinogram, is a common noise reduction technique for the data. The stackgram domain, in which the signals along the sinusoidal trajectories of the sinogram can be processed separately, is a new method for si...

The application of small angle neutron scattering in the study of thin magnetic layers used in perpendicular recording media has been demonstrated. The domain structure in these materials is characterized by the domain height perpendicular to the film and the domain width in the plane of the film. These quantities have been deduced from the two dimensional scattering pattern. The domain height ...

We demonstrate a prototype Frequency Domain Streak Camera (FDSC) that can capture the picosecond time evolution of the plasma accelerator structure in a single shot. In our prototype Frequency-Domain Streak Camera, a probe pulse propagates obliquely to a sub-picosecond pump pulse that creates an evolving nonlinear index “bubble” in fused silica glass, supplementing a conventional Frequency Doma...