Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleNon-renormalized solutions to the continuity equation.AuthorsModena, Stefano; Székelyhidi, LászlóAbstractWe show that there are continuous, W 1 , p ( p < d - 1 ), incompressible vector fields for which uniqueness of solutions to the continuity equation fails.SubjectsCONTINUITY; EQUATIONSPublicationCalculus of Variations & Partial Differential Equations, 2019, Vol 58, Issue 6, pN.PAGISSN0944-2669Publication typeArticleDOI10.1007/s00526-019-1651-8