compressible Euler equations 2nonlinear stability 2mass-critical regime 1mass-critical regimes 1relative entropy 1riesz interaction 1riesz potential 1rotating stars 1weak solutions 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.AP2026
Nonlinear stability and instability of rotating Riesz star solutions of the compressible Euler-Riesz equations
Samuel R. Charles
The paper analyzes rotating steady-state solutions (rotating Riesz stars) of the compressible Euler–Riesz equations, establishing existence and nonlinear stability in the mass‑subc…
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 paper analyzes the nonlinear stability and instability of steady states for multidimensional compressible Euler‑Riesz equations with general pressure laws, proving instability…
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…