Calculus of Variations and Geometric Measure Theory
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S. Modena - L. J. Székelyhidi

Non-renormalized solutions to the continuity equation

created by modena on 06 Jul 2018

[BibTeX]

Submitted Paper

Inserted: 6 jul 2018

Pages: 29
Year: 2018

ArXiv: 1806.09145 PDF

Abstract:

We show that there are continuous, $W^{1,p}$, ($p<d−1$), incompressible vector fields for which uniqueness of solutions to the continuity equation fails.

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