
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 .
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
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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