Non-uniqueness for the Transport Equation with Sobolev Vector Fields.

Ann PDE

Institut für Mathematik, Universität Leipzig, 04109 Leipzig, Germany.

Published: December 2018

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 .

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6503895PMC
http://dx.doi.org/10.1007/s40818-018-0056-xDOI Listing

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