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zbMATH Open
Article . 1993
Data sources: zbMATH Open
Transactions of the American Mathematical Society
Article . 1993 . Peer-reviewed
Data sources: Crossref
Transactions of the American Mathematical Society
Article . 1993 . Peer-reviewed
Data sources: Crossref
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Asymptotic Behavior for a Coalescence Problem

Asymptotic behavior for a coalescence problem
Authors: Bruno, Oscar; Friedman, Avner; Reitich, Fernando;

Asymptotic Behavior for a Coalescence Problem

Abstract

Consider spherical particles of volume x x having paint on a fraction y y of their surface area. The particles are assumed to be homogeneously distributed at each time t t , so that one can introduce the density number n ( x , y , t ) n(x,y,t) . When collision between two particles occurs, the particles will coalesce if and only if they happen to touch each other, at impact, at points which do not belong to the painted portions of their surfaces. Introducing a dynamics for this model, we study the evolution of n ( x , y , t ) n(x,y,t) and, in particular, the asymptotic behavior of the mass x n ( x , y , t ) d x xn(x,y,t)dx as t → ∞ t \to \infty .

Related Organizations
Keywords

coalescence, 330, Asymptotic behavior of solutions to PDEs, existence, mathematical model for a coalescence problem, uniqueness, 510, Integro-partial differential equations, Particles, stability results, asymptotic behavior, collision, PDEs in connection with quantum mechanics, conservation of mass

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
Green
bronze