Non-uniqueness for the Transport Equation with Sobolev Vector Fields

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 [Formula: see text] .

Detalles Bibliográficos
Autores principales: Modena, Stefano, Székelyhidi, László
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Manuscript
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6503895/
https://www.ncbi.nlm.nih.gov/pubmed/31149658
http://dx.doi.org/10.1007/s40818-018-0056-x
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author Modena, Stefano
Székelyhidi, László
author_facet Modena, Stefano
Székelyhidi, László
author_sort Modena, Stefano
collection PubMed
description 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 [Formula: see text] .
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spelling pubmed-65038952019-05-28 Non-uniqueness for the Transport Equation with Sobolev Vector Fields Modena, Stefano Székelyhidi, László Ann PDE Manuscript 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 [Formula: see text] . Springer International Publishing 2018-12-07 2018 /pmc/articles/PMC6503895/ /pubmed/31149658 http://dx.doi.org/10.1007/s40818-018-0056-x Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Manuscript
Modena, Stefano
Székelyhidi, László
Non-uniqueness for the Transport Equation with Sobolev Vector Fields
title Non-uniqueness for the Transport Equation with Sobolev Vector Fields
title_full Non-uniqueness for the Transport Equation with Sobolev Vector Fields
title_fullStr Non-uniqueness for the Transport Equation with Sobolev Vector Fields
title_full_unstemmed Non-uniqueness for the Transport Equation with Sobolev Vector Fields
title_short Non-uniqueness for the Transport Equation with Sobolev Vector Fields
title_sort non-uniqueness for the transport equation with sobolev vector fields
topic Manuscript
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6503895/
https://www.ncbi.nlm.nih.gov/pubmed/31149658
http://dx.doi.org/10.1007/s40818-018-0056-x
work_keys_str_mv AT modenastefano nonuniquenessforthetransportequationwithsobolevvectorfields
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