Uniqueness of solutions for the non-cutoff Boltzmann Equation with soft potential

Radjesvarane Alexandre (1) , Yoshinori Morimoto (2) , Seiji Ukai (3) , Chao-Jiang Xu (4) , Tong Yang (5)

1 IRENAV - Institut de Recherche de l'Ecole Navale
2 Graduate School of Human and Environmental Studies
3 Mr. - retaite
4 LMRS - Laboratoire de Mathématiques Raphaël Salem
5 Pr. - Department of mathematics

In this paper, we consider the Cauchy problem for the non-cutoff Boltzmann equation in the soft potential case. By using a singular change of velocity variables before and after collision, we prove the uniqueness of weak solutions to the Cauchy problem in the space of functions with polynomial decay in the velocity variable.

Mots clés: uniqueness of solution.; uniqueness of solution; singular change of velocity variables; oltzmann equation

Domaines: Equations aux dérivées partielles [math.AP]

Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, Chao-Jiang Xu, Tong Yang. Uniqueness of solutions for the non-cutoff Boltzmann Equation with soft potential. Kinetic and Related Models , 2011, 4, pp.17-4. ⟨hal-00602975⟩