Packed and Periodic Initial Conditions

Abstract

Packed initial conditions turn out to be the most readily accessible case. Although such initial conditions have been studied extensively in the literature, we provide here a complete proof, introducing essentially all methods required later on in more complicated situations. The second treatable case of deterministic initial data are periodic initial conditions. Here we will be rather brief, in stating only the main results, since the tools used in Ferrari et al. (2015) (Ferrari et al., Ann. Appl. Probab. 25, 1349–1382, 2015) are comparable to the ones employed in case of packed initial conditions.