Communications in Mathematical Sciences
Volume 13 (2015)
Non-uniqueness and prescribed energy for the continuity equation
Pages: 1937 – 1947
In this note, we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed energy.
transport and continuity equations, non-uniqueness, non-conservation of energy, renormalization, convex integration
2010 Mathematics Subject Classification