## The capillary problem for an infinite trough

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Applying recent results by Borchers connecting geometric modular action, modular inclusion and the spectrum condition, earlier results by Kay and Wald concerning the temperature of physically significant states of the linear Hermitean scalar field propagating in the background of a space-time with a bifurcate Killing horizon are generalized. (orig....

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The dynamic behaviour of the L-H transition in ASDEX-Upgrade is described. We focus on the periodic L-H-L transitions known as 'dithering H-mode' and show that there is an intrinsic timescale in this process which is characteristic for the L-H transition. We give a tentative explanation for the phenomenon using an extension of Itoh's model for the ...

Consider an infinite trough (or wedge) with dihedral angle 2#alpha#, 0 #pi#/2 the cylinder configuration is unstable and bifurcation occurs. We exhibit the full family of bifurcating solutions starting with the round cylinder solution and proceeding through a ''beading up'' process into a series of spherical sections suitably positioned. Furthermo...

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The deformation of a bow-shaped I-beam with variable cross section under a constant load is described by a system of nonlinear differential equations. The width of the beam is determined optimal such that the deformation is minimal or the critical load is maximal. To compute the critical load, i.e., the smallest positive symmetric bifurcation point...

Two general problems related to resistive magnetohydrodynamic stability are addressed in this paper: 1. A general stability condition previously derived by the author for a class of real systems, occuring especially in plasma physics, is proved to persist to second order, despite the addition of several antisymmetric operators of first order in the...

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