Integral representations of axially symmetric potential functions

Generalized Axially Symmetric Potential Theory

On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions

In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.

Quasi-axially symmetric stellarators.

Confinement of a plasma for controlled thermonuclear fusion is studied numerically. Toroidal equilibria are considered, with an emphasis on the Modular Helias-like Heliac 2 (MHH2), which is a stellarator of low aspect ratio with just two field periods surrounded by 16 modular coils. The geometry is fully three-dimensional, but there is an axial symmetry of the magnetic structure that is calcula...

Thermophoresis of Axially Symmetric Bodies

Thermophoresis of axially symmetric bodies is investigated to first order in the Knudsen-mimber, Kn. The study is made in the limit where the typical length of the immersed body is small compared to the mean free path. It is shown that in this case, in contrast to what is the case for spherical bodies, the arising thermal force on the body is not in general antiparallel to the temperature gradi...

Alcove walks, buildings, symmetric functions and representations

For a complex simple Lie algebra g, the dimension Kλμ of the μ weight space of a finite dimensional representation of highest weight λ is the same as the number of Littelmann paths of type λ and weight μ. In this paper we give an explicit construction of a path of type λ and weight μ whenever Kλμ 6= 0. This construction has additional consequences, it produces an explicit point in the building ...