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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:
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