English

Weak transport equation on a bounded domain: stability theory apr\'es DiPerna-Lions

Analysis of PDEs 2021-03-18 v1

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.

Keywords

Cite

@article{arxiv.2103.09695,
  title  = {Weak transport equation on a bounded domain: stability theory apr\'es DiPerna-Lions},
  author = {Jacopo Tenan},
  journal= {arXiv preprint arXiv:2103.09695},
  year   = {2021}
}

Comments

14 pages, 2 figures