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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-ph2001
Determination of the Spectral Gap for Kac's Master Equation and Related Stochastic Evolutions
Eric A. Carlen, Maria C. Carvalho, Michael Loss
We present a method for bounding, and in some cases computing, the spectral gap for systems of many particles evolving under the influence of a random collision mechanism. In parti…