Special Session 95: 

On a derivation of the polyatomic Vlasov equation with vibratory and rotational motions.

Sun-Ho Choi
Kyung Hee University
Korea
Co-Author(s):    Seok-Bae Yun
Abstract:
In this talk, we discuss a mathematical theory for polyatomic gas. Polyatomic gas is common in our environment. For examples, hydrogen, nitrogen, oxygen. However, in the mathematical theory of gas, one assumes that each particle of gas is monoatomic for simplicity. Here, we derive a polyatomic Vlasov equation with the self-consistence Poisson force field and prove the global existence of the solution to the polyatomic Vlasov-Poisson equation with vibratory and rotational motions.