Asymptotic behavior for a coalescence problem

Author:

Bruno Oscar,Friedman Avner,Reitich Fernando

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 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Dynamics of droplets in an agitated dispersion with multiple breakage. Part I: formulation of the model and physical consistency;Mathematical Methods in the Applied Sciences;2005

2. Limited Coalescence;Mathematics in Industry;2003

3. Measuring coalescence rates;Mathematics in Industrial Problems;1998

4. Solutions to problems from previous parts;Mathematics in Industrial Problems;1997

5. Trend to Equilibrium for the Coagulation-Fragmentation Equation;Mathematical Methods in the Applied Sciences;1996-07-10

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