The role of Riesz potentials in the weak–strong uniqueness for Euler–Poisson systems

Weak-Strong Uniqueness and High-Friction Limit for Euler-Riesz Systems

“…Within that framework, the emergence of a gradient flow type equation as the high-friction limit of its Euler counterpart has also been studied [5]. The results presented here extend the ones obtained in [1,18] to what concerns the weak-strong uniqueness principle and the high-friction limit, respectively. In the former, one establishes the weak-strong uniqueness principle for a Euler-Poisson system in the whole space, taking as solution of the Poisson equation the convolution of the density with the Newtonian kernel.…”