Boltzmann Equation with a Large Potential in a Periodic Box

作者：Kim Chanwoo^*

来源：Communications in Partial Differential Equations, 2014, 39(8): 1393-1423.

DOI：10.1080/03605302.2014.903278

• Boltzmann equation

The stability of the Maxwellian of the Boltzmann equation with a large amplitude external potential Phi has been an important open problem. In this paper, we resolve this problem with a large C-3-potential in a periodic box T-d, d >= 3. We use [1] in L-p - L-infinity framework to establish the well-posedness and the L-infinity-stability of the Maxwellian mu(E) (x, nu) = exp{-broken vertical bar nu broken vertical bar/2(2) - Phi(x)}.

• 出版日期2014