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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.AP2026
Lagrangian formulation and Eulerian closure in alignment dynamics
José A. Carrillo, Young-Pil Choi, Eitan Tadmor
We investigate a continuum Lagrangian -alignment system given by a nonlocal mean-field system of ordinary differential equations for interacting agents with weak initial data. W…
math.AP2026
Asymptotic stability of steady states for the compressible Navier-Stokes-Riesz system in the presence of vacuum
José A. Carrillo, Renjun Duan, Aneta Wróblewska-Kamińska +1
We consider a one-dimensional physical vacuum free boundary problem on the compressible Navier-Stokes-Riesz system for an attractive Riesz potential with $0<s<1…