Formula_15308

\[\begin{gathered}\frac{\partial f}{\partial t}+v \frac{\partial f}{\partial x}=\frac{1}{2} \int_{0}^{p} \Phi(p-y, y) f(p-y) f(y) d y- \\\ddots-f(x, p, t) \int_{0}^{\infty} \Phi(p, y) f(p) d p .\end{gathered}\]