Lower Bounds for Pinning Lines by Balls

In summary, we have observed that the value of the critical current of a thick film of a standard type II su- perconductor is quantitatively explained with the vortex pinning by

Figure 1 : X is the union of two balls, which are the only critical balls, but an infinity of maximal balls exists (light grey), their centers corresponding to the skeleton of X

The latter is modelled by an exponential perturbation of the path measure of a d-dimensional random walk (or Brownian motion), depending on the realization of a random

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At subsequent temperature changes no change of the number of dislocations pinning points had been observed by means of kilocycle et megacycle damping

Once the system reaches the equilibrium, defined by a constant energy and a constant value of the local contact angle around the contact line, equal to the equilibrium contact angle,

This heuristic argument can be transformed into a proof of the smoothing effect either by direct calculations (in the case of the free Schr¨odinger equation) or by means of

Arrangements of circles on a sphere : Algorithms and applications to molecular models represented by a union.