Journal ArticleOPEN ACCESS

Non-renormalized solutions to the continuity equation

Calculus of Variations and Partial Differential Equations (2019) 58(6)
DOI: 10.1007/s00526-019-1651-8
46Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We show that there are continuous, W1,p (p< d- 1), incompressible vector fields for which uniqueness of solutions to the continuity equation fails.

Cite

CITATION STYLE

APA

Modena, S., & Székelyhidi, L. (2019). Non-renormalized solutions to the continuity equation. Calculus of Variations and Partial Differential Equations, 58(6). https://doi.org/10.1007/s00526-019-1651-8

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free