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Scalings for a Ballistic Aggregation Equation

Escobedo, Miguel; Mischler, Stéphane (2010), Scalings for a Ballistic Aggregation Equation, Journal of Statistical Physics, 141, 3, p. 422-458. http://dx.doi.org/10.1007/s10955-010-0060-3

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-00429213
Date
2010
Journal name
Journal of Statistical Physics
Volume
141
Number
3
Publisher
Kluwer Academic Publishers etc.
Pages
422-458
Publication identifier
Metadata
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Author(s)
Escobedo, Miguel
Mischler, Stéphane
Abstract (EN)
We consider a mean field type equation for ballistic aggregation of particles whose density function depends both on the mass and momentum of the particles. For the case of a constant aggregation rate we prove the existence of self-similar solutions and the convergence of more general solutions to them. We are able to estimate the large time decay of some moments of general solutions or to build some new classes of self-similar solutions for several classes of mass and/or momentum dependent rates.
Subjects / Keywords
Self similar; Aggregation; Smoluchowski equation; Ballistic; Momentum; Mass