10,316 research outputs found
Axial rotation and turbulence of RR ab stars: the Peterson Conundrum revisited
We calibrate and then use the relation between equivalent width (EW) and
full-width-half-maximum (FWHM) of metallic absorption lines in the spectra of
RR Lyrae stars to estimate a new upper limit of Vrot sini less than or equal to
6 km/s on their axial equatorial rotational velocities, and to derive the
variations of macroturbulent velocities in their atmospheres during pulsation
cycles. Finally, we present a simple way to estimate macroturbulent/rotational
velocity from FWHM of the cross-correlation function.Comment: 15 pages, 7 figures, 1 table. EAS Publications Series.: "New advances
in stellar physics: from microscopic to macroscopic processes", 27-31 May
2013, Roscoff, Franc
Anti-deSitter gravitational collapse
We describe a formalism for studying spherically symmetric collapse of the
massless scalar field in any spacetime dimension, and for any value of the
cosmological constant . The formalism is used for numerical
simulations of gravitational collapse in four spacetime dimensions with
negative . We observe critical behaviour at the onset of black hole
formation, and find that the critical exponent is independent of .Comment: 4 pages, 2 figures, revtex4, version to appear in CQ
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An integral equation method for a boundary value problem arising in unsteady water wave problems
In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions. We show uniqueness of solution, using standard Phragmen-Lindelof arguments. The main result
is to propose a boundary integral equation formulation, to prove equivalence with the boundary value problem, and to show that the integral equation is well posed by applying a recent partial generalisation of the Fredholm alternative in Arens et al [J. Int. Equ. Appl. 15 (2003) pp. 1-35]. This then leads to an existence proof for the boundary value problem.
Keywords. Boundary integral equation method, Water waves, Laplace’
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