We study the existence and uniqueness of the time evolution via the Newton law of a two dimensional system of infinitely many particles with very singular mutual interactions. It is an improvement of the result by Fritz and Dobrushin given in (Comm. Math. Phys. 57:67-81, 1977) for inverse power-like singular interactions.

Time Evolution of Two Dimensional Systems with Infinitely Many Particles Mutually Interacting via Very Singular Forces / Butta', Paolo; Cavallaro, Guido; Marchioro, Carlo. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 147:2(2012), pp. 412-423. [10.1007/s10955-012-0461-6]

Time Evolution of Two Dimensional Systems with Infinitely Many Particles Mutually Interacting via Very Singular Forces

BUTTA', Paolo;CAVALLARO, GUIDO;MARCHIORO, Carlo
2012

Abstract

We study the existence and uniqueness of the time evolution via the Newton law of a two dimensional system of infinitely many particles with very singular mutual interactions. It is an improvement of the result by Fritz and Dobrushin given in (Comm. Math. Phys. 57:67-81, 1977) for inverse power-like singular interactions.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11573/438709
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