Markov semi-groups generated by elliptic operators with divergence-free drift

In this paper we construct a conservative Markov semi-group with generator L =Δ +b ·∇on Rn, where bis a divergence-free vector field which belongs to L2∩Lpwith n2<p. The research is motivated by the question of understanding the blow-up solutions of the fluid dynamic equations, which attracts a l...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron: Qian, Z, Xi, G
Fformat: Journal article
Iaith:English
Cyhoeddwyd: Elsevier 2021