For a nonlinear kinetic Boltzmann equation that describes the model of rough spheres, we construct its approximate solution in the form of a continual distribution with global Maxwellians. We establish sufficient conditions for the coefficient functions and hydrodynamic parameters appearing in the distribution, which enable one to make the analyzed error as small as desired.

中文翻译：

---

Bryan-Pidduck 方程的连续分布

对于描述粗糙球体模型的非线性动力学玻尔兹曼方程，我们以具有全局麦克斯韦方程的连续分布的形式构造其近似解。我们为分布中出现的系数函数和水动力参数建立了充分条件，使分析误差尽可能小。