On the structure of divergence-free measures on ℝ2.

19 S. K. Smirnov, Decomposition of solenoidal vector charges into elementary solenoids, and the structure of normal one-dimensional flows, Algebra i Analiz 5 (1993), no. 4, 206-238. Anal. 48 (2016), no. 1, 1-33. 6 S. Bianchini and N. A. Gusev, Steady nearly incompressible vector fields in two-dimension: Chain rule and renormalization, Arch. Ration. Keywords: Vector-valued measures; divergence-free measures; superposition Principle; 49Q15; 58A25 EN Vector-valued measures divergence-free measures superposition Principle 49Q15 58A25 879 911 33 10/03/22 20221001 NES 221001 1 Introduction In this paper we study the structure of vector-valued Borel owledgements The first author thanks Graziano Crasta and Annalisa Malusa for interesting discussions during the preparation of the paper; he also kindly acknowledges Gian Paolo Leonardi for introducing him to the problem of rigidity of divergence-free vector fields. [Extracted from the article]