Systems of sticky particles governed by Burgers' equation
type: Item
instance of: scholarly article
title: Systems of sticky particles governed by Burgers' equation
zbMATH Open document ID: 1234.35199
DOI: 10.5402/2012/506863
author: Octave Moutsinga
published in: ISRN Mathematical Physics
publication date: 2012-03-14T00:00:00Z
review text: Summary: We show the existence of two sticky particles models with the same velocity function \(u_t(x)\) which is the entropy solution of the inviscid Burgers' equation. One of them is governed by the set of discontinuity points of \(u_0\). Thus, the trajectories \(t \rightarrowtail X_t\) coincide; however one has different mass distributions \(\sigma_x u_t = du_0 \circ X^{-1}_t\) and \(\lambda \circ X^{-1}_t\) Here, \(\lambda\) denotes the Lebesgue measure.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 28C05
zbMATH DE Number: 6014693
Wikidata QID: Q58691064
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/506863
OpenAlex ID: W2089350910
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description: scientific article; zbMATH DE number 6014693