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math.AP2014
Non-Uniqueness and prescribed energy for the continuity equation
Gianluca Crippa, Nikolay Gusev, Stefano Spirito +1
In this note we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed energy.
math.AP2014
Failure of the chain rule for the divergence of bounded vector fields
Gianluca Crippa, Nikolay Gusev, Stefano Spirito +1
We provide a vast class of counterexamples to the chain rule for the divergence of bounded vector fields in three space dimensions. Our convex integration approach allows us to pro…