We show that there are continuous, Sobolev, incompressible vector fields for which uniqueness of solutions to the continuity equation fails.

Non-renormalized solutions to the continuity equation

Modena, Stefano;
2019-01-01

Abstract

We show that there are continuous, Sobolev, incompressible vector fields for which uniqueness of solutions to the continuity equation fails.
2019
Non uniqueness, continuity equation, convex integration, DiPerna Lions theory
File in questo prodotto:
File Dimensione Formato  
2019_CalcVarPDE_58_Modena.pdf

accesso aperto

Licenza: Creative commons
Dimensione 475.19 kB
Formato Adobe PDF
475.19 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/36264
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 43
  • ???jsp.display-item.citation.isi??? 36
social impact