Dissipative measure-valued solutions and weak–strong uniqueness for the Euler alignment system
Abstract
Abstract We introduce the concept of a dissipative measure-valued solution to the Euler alignment system. This approach incorporates a modified total energy balance, utilizing a binary tensor Young measure. The central finding is a weak (measure-valued)-strong uniqueness principle: if both a dissipative measure-valued solution and a classical smooth solution originate from the same initial data, they will be identical as long as the classical solution exists.
Fields of Study & Subjects
Navier-Stokes equation solutions
Computational Fluid Dynamics and Aerodynamics
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Journal of Evolution Equations
- Volume
- 26
- Issue
- 1
- Publication date
- 16 January 2026
- Language
- EN