16 citations · 39 across the 9 of their papers we have counts for
4 papers · 2 filters
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.
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…
Renormalization for autonomous nearly incompressible BV vector fields in 2D
Stefano Bianchini, Paolo Bonicatto, Nikolay A. Gusev
Given a bounded autonomous vector field , we study the uniqueness of bounded solutions to the initial value problem for the related transport…
Steady nearly incompressible vector fields in 2D: chain rule and renormalization
Stefano Bianchini, Nikolay A. Gusev
Given bounded vector field , scalar field and a smooth function we study the character…