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arXiv · 1712.03867

Non-uniqueness for the transport equation with Sobolev vector fields

Stefano Modena·László Székelyhidi Jr
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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 $W^{1,p}$.

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Stefano Modena, László Székelyhidi Jr. 2017-12-11. Non-uniqueness for the transport equation with Sobolev vector fields. https://arxiv.org/abs/1712.03867

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