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math-ph2015★ 152 cited
Macroscopic description of microscopically strongly inhomogenous systems: A mathematical basis for the synthesis of higher gradients metamaterials
Antonio Carcaterra, Francesco dell'Isola, Raffaele Esposito +1
We consider the time evolution of a one dimensional -gradient continuum. Our aim is to construct and analyze discrete approximations in terms of physically realizable mechanical…
math-ph2003★ 68 cited
Some Considerations on the derivation of the nonlinear Quantum Boltzmann Equation
D. Benedetto, F. Castella, R. Esposito +1
In this paper we analyze a system of N identical quantum particles in a weak-coupling regime. The time evolution of the Wigner transform of the one-particle reduced density matrix…