A Rigorous Derivation of Haff’s Law for a Periodic Two-Disk Fluid
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DOI: 10.1007/s10955-019-02323-2
Abstract: We derive Haff’s cooling law for a periodic fluid consisting of two hard disks per unit cell by reducing it to a point particle moving inside a Sinai billiard with finite horizon with an inelastic… read more here.
Keywords: haff law; rigorous derivation; law periodic; haff ... See more keywords
The rigorous derivation of Vlasov equations with local alignments from moderately interacting particle systems
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DOI: 10.1063/5.0235162
Abstract: In this paper, we present a rigorous derivation of the mean-field limit for a moderately interacting particle system in Rd(d≥2). For stochastic initial data, we demonstrate that the solution to the interacting particle model, with… read more here.
Keywords: interacting particle; moderately interacting; rigorous derivation; particle ... See more keywords