Maria Colombo
EPFL, Lausanne
Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space
For the two-dimensional Euler equations, a classical result by Yudovich states
that solutions are unique in the class of bounded vorticity; it is a celebrated
open problem whether this uniqueness result can be extended in other
integrability spaces. We prove that such uniqueness theorem fails in the class
of vector fields
