Jean-Pierre Petit used an elliptic solution of this to derive the Friedmann equations in a paper on galactic dynamics.
Jean-Pierre Petit used an elliptic solution of this to derive the Friedmann equations in a paper on galactic dynamics. This was developed by its namesake when considering the implications of the experiments of Merrill and Webb on Boltzmann's equation. The name of Poisson is appended to this equation when considering the zero-magnetic field limit, a situation that occurs in double layers. Mathematically it consists of many statements that relate the distribution functions of ions and electrons which vary with momentum, position, and time. Applying in situations involving charged particles that undergo long-range Coulomb interaction, for 10 points, identify this system of equations that describes the dynamics of plasmas.
Jean-Pierre Petit used an elliptic solution of this to derive the Friedmann equations in a paper on galactic dynamics.
Vlasov equations