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.

Non-uniqueness for the Transport Equation with Sobolev Vector Fields

Modena, Stefano;
2018-01-01

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.
2018
Transport equation, renormalised solutions, convex integration, nonuniqueness, h principle
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/36265
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