Non-uniqueness for the transport equation with Sobolev vector fields
Analysis of PDEs
2018-04-24 v3
Abstract
We construct a large class of examples of non-uniqueness for the linear transport equation and the transport-diffusion equation with divergence-free vector fields in Sobolev spaces .
Cite
@article{arxiv.1712.03867,
title = {Non-uniqueness for the transport equation with Sobolev vector fields},
author = {Stefano Modena and László Székelyhidi},
journal= {arXiv preprint arXiv:1712.03867},
year = {2018}
}
Comments
30 pages. Updated introduction and bibliography