| Abstract: |
| Sheath formation is a kind of phase state of gas. Shortly, phase transition diagram is solid-liquid-gas-plasma-sheath. In this talk, I would like to present a kinetic description for sheath formation. The topic is a stationary Vlasov-Poisson system representing ion density on symmetric container with centered negative charged ball. Here, the stationary Vlasov-Poisson system is equivalent to the Gelfand equation with Neumann boundary conditions. The Neumann boundary conditions come from mass conservation and electric charge conservation. In order to prove the existence of the solution to the Gelfand equation, we first transform this problem into terminal value problem. |
|