ar X iv : 0 80 3 . 07 12 v 2 [ co nd - m at . s of t ] 1 7 Se p 20 08 The Liquid Blister Test

ar X iv : 0 80 3 . 07 12 v 1 [ co nd - m at . s of t ] 5 M ar 2 00 8 The Liquid Blister Test

We consider a thin elastic sheet adhering to a stiff substrate by means of the surface tension of a thin liquid layer. Debonding is initiated by imposing a vertical displacement at the centre of the sheet and leads to the formation of a delaminated region, or ‘blister’. This experiment reveals that the perimeter of the blister takes one of three different forms depending on the vertical displac...

ar X iv : 0 80 1 . 36 64 v 1 [ co nd - m at . m tr l - sc i ] 2 3 Ja n 20 08 Universality behind Basquin ’ s law of fatigue

F. Kun, H. A. Carmona, J. S. Andrade Jr., and H. J. Herrmann Department of Theoretical Physics, University of Debrecen, P. O. Box:5, H-4010 Debrecen, Hungary 2 Computational Physics, IfB, HIF, E12, ETH, Hönggerberg, 8093 Zürich, Switzerland 3 Centro de Ciências e Tecnologia, Universidade Estadual do Ceará, 60740-903 Fortaleza, Ceará, Brazil 4 Departamento de F́ısica, Universidade Federal do Cear...

ar X iv : 0 80 1 . 25 00 v 1 [ co nd - m at . o th er ] 1 6 Ja n 20 08 Making , probing and understanding ultracold Fermi

ar X iv : 0 80 9 . 47 83 v 1 [ m at h . C A ] 2 7 Se p 20 08 HEAT - FLOW MONOTONICITY OF STRICHARTZ NORMS

Most notably we prove that for d = 1, 2 the classical Strichartz norm ‖ef‖ L 2+4/d s,x (R×Rd) associated to the free Schrödinger equation is nondecreasing as the initial datum f evolves under a certain quadratic heat-flow.

ar X iv : 0 80 9 . 40 53 v 1 [ m at h . C A ] 2 3 Se p 20 08 SOME EXTREMAL FUNCTIONS IN FOURIER ANALYSIS , III

We obtain the best approximation in L 1 (R), by entire functions of exponential type, for a class of even functions that includes e −λ|x| , where λ > 0, log |x| and |x| α , where −1 < α < 1. We also give periodic versions of these results where the approximating functions are trigonometric polynomials of bounded degree.