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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…
math.AP2025
Inelastic Boltzmann equation under shear heating
José A. Carrillo, Kam Fai Chan, Renjun Duan +1
In this paper, we study the spatially homogeneous inelastic Boltzmann equation for the angular cutoff pseudo-Maxwell molecules with an additional term of linear deformation. We est…
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…