3 papers
math.AP2026
Nonlinear stability and instability of rotating Riesz star solutions of the compressible Euler-Riesz equations
Samuel R. Charles
The compressible Euler--Riesz equations arise in the modelling of a wide range of physical phenomena, including stellar dynamics, plasma physics, and mathematical biology. We study…
math.AP2026
Nonlinear Stability and Instability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with General Pressure Laws
Jose A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen +1
The compressible Euler-Riesz equations arise in the modeling of a wide range of physical phenomena, including stellar dynamics, plasma physics, and mathematical biology. In this pa…
math.AP2025
Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with Large Initial Data of Spherical Symmetry
José A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen +1
The compressible Euler-Riesz equations are fundamental with wide applications in astrophysics, plasma physics, and mathematical biology. In this paper, we are concerned with the gl…