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math-ph2005
Droplet minimizers for the Cahn Hilliard free energy functional
E. A. Carlen, M. C. Carvalho, R. Esposito +2
We prove theorem characterizing the minimizers in a model for condensation based on the Cahn Hilliard free energy functional. In particular, we exactly determine the critical densi…
math.AP2005
On The Weak-Coupling Limit for Bosons and Fermions
Dario Benedetto, François Castella, Raffaele Esposito +1
In this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We…