Formula_5098

\[\frac{\partial f}{\partial t}+v \frac{\partial f}{\partial x}=\sum_{i, j=1}^{3} \frac{\partial}{\partial v_{i}} \int Q_{i j}\left(v-v^{\prime}\right)\left(\frac{\partial}{\partial v_{j}}-\frac{\partial}{\partial v_{j}^{\prime}}\right) F(x, v, t) F\left(x, v^{\prime}, t\right) ;\]