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

Abstract

In this article, the weak-strong uniqueness principle is proved for an Euler-Poisson system in the whole space, with initial data so that the strong solution exists. Some results on Riesz potentials are used to justify the considered weak formulation. Then, one follows the relative energy methodology and, in order to handle the solution of Poisson's equation, employs the theory of Riesz potentials.

References in corpus (1)

• The relaxation limit of bipolar fluid models

Cited by in corpus (2)

• Zero-electron-mass and quasi-neutral limits for bipolar Euler-Poisson systems
• High-friction limit for bipolar Euler-Riesz systems