Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609793 | Journal of Differential Equations | 2015 | 48 Pages |
Abstract
We prove the uniqueness of the self-similar profile solution for a modified Boltzmann equation describing probabilistic ballistic annihilation. Such a model describes a system of hard spheres such that, whenever two particles meet, they either annihilate with probability αâ(0,1) or they undergo an elastic collision with probability 1âα. The existence of a self-similar profile for α smaller than an explicit threshold value α_1 has been obtained in our previous contribution [6]. We complement here our analysis of such a model by showing that, for some α⯠explicit, the self-similar profile is unique for αâ(0,αâ¯).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Véronique Bagland, Bertrand Lods,