Weak-strong uniqueness for measure-valued solutions

Abstract

We prove the weak-strong uniqueness for measure-valued solutions of the incompressible Euler equations. These were introduced by R.DiPerna and A.Majda, and in particular global existence to any L2 initial data was proven. Whether measure-valued solutions agree with classical solutions if the latter exist has apparently remained open. We also show that DiPerna's measure-valued solutions to systems of conservation laws have the weak-strong uniqueness property.

References in corpus (1)

• On admissibility criteria for weak solutions of the Euler equations

Cited by in corpus (1)

• Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations