Weak transport equation on a bounded domain: stability theory aprés DiPerna-Lions
arXiv:2103.09695
Abstract
The article studies the transport equation that governes the motion of a fluid in a bounded domain, under the hypothesis of zero velocity at the boundary and supposing the incompressible nature of the fluid. Together with existence and uniqueness results, we study the DiPerna-Lions stability problem, in the case of a bounded domain.
14 pages, 2 figures