529 RWTH Publication No: 792700        2019       
TITLE Flow Solutions of Transport Equations
AUTHORS Sholeh Karimghasemi, Siegfried Müller, Michael Westdickenberg
ABSTRACT Under general assumptions on the velocity field, it is possible to construct a flow that is forward untangled. Once such a flow has been selected, the associated transport problem is well-posed.
KEYWORDS Measurable selection theorem, non-uniqueness, transport equations
DOI 10.1080/03605302.2020.1831018
PUBLICATION Communications in Partial Differential Equations, Volume 46, 2021, Issue 1