We consider the spatially homogeneous Boltzmann equation for ballistic annihilation in dimension $d⩾2$. Such model describes a system of ballistic hard spheres that, at the moment of interaction, either annihilate with probability $\alpha \in (0,1)$ or collide elastically with probability $1-\alpha$. Such equation is highly dissipative in the sense that all observables, hence solutions, vanish as time progresses. Following a contribution, by two of the authors, considering well-posedness of the steady self-similar profile in the regime of small annihilation rate $\alpha \ll 1$, we prove here that such self-similar profile is the intermediate asymptotic attractor to the annihilation dynamics with explicit universal algebraic rate. This settles the issue about universality of the annihilation rate for this model brought in the applied literature.

我们考虑了空间均匀Boltzmann方程的弹道dimension灭维度 $d⩾2$。这种模型描述了一个弹道硬球系统，该系统在相互作用时要么被probability灭$\alpha \in （0，\mathrm{1个}）$ 或有可能发生弹性碰撞 $\mathrm{1个}-\alpha$。在所有可观察到的东西（因此解决方案）随着时间的流逝而消失的意义上，这种方程式是高度耗散的。在两位作者的贡献之后，考虑了在小an灭率制度中稳定的自相似曲线的适定性$\alpha \ll \mathrm{1个}$，我们在这里证明这种自相似的轮廓是with灭动力学的中间渐近吸引子，具有明确的通用代数率。这解决了应用文献中引入的该模型的the灭率通用性的问题。