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Mathematics > Analysis of PDEs

arXiv:1804.09343 (math)
[Submitted on 25 Apr 2018 (v1), last revised 27 Dec 2019 (this version, v6)]

Title:Probability measures on the path space and the sticky particle system

Authors:Ryan Hynd
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Abstract:We study collections of point masses which move freely along the real line and stick together when they collide via perfectly inelastic collisions. We quantify the way particles stick together and explain how to associate a probability measure on the space of continuous paths to such a collection of evolving point masses. These observations lead to a new method of designing solutions to the sticky particle system in one spatial dimension which have nonincreasing kinetic energy and satisfy an entropy inequality.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1804.09343 [math.AP]
  (or arXiv:1804.09343v6 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.09343

Submission history

From: Ryan Hynd [view email]
[v1] Wed, 25 Apr 2018 04:49:05 UTC (1,532 KB)
[v2] Thu, 26 Apr 2018 02:27:48 UTC (1,532 KB)
[v3] Sat, 4 Aug 2018 02:21:06 UTC (1,720 KB)
[v4] Tue, 30 Apr 2019 15:39:24 UTC (1,800 KB)
[v5] Mon, 23 Sep 2019 20:35:44 UTC (1,063 KB)
[v6] Fri, 27 Dec 2019 02:13:02 UTC (1,063 KB)
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