From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
Asymptotic stability of steady states for the compressible Navier-Stokes-Riesz system in the presence of vacuum
José A. Carrillo, Renjun Duan, Aneta Wróblewska-KamiÅska +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…
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…
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…