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Author

Difan Yuan

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Open access Aug 2026

Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler–Riesz Equations with Large Initial Data of Spherical Symmetry

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 global existence and nonlinear stability of finite-energy solutions of the multidimensional Euler–Riesz equations with large initial data of s...

J. A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen et al. · 0 citations
Preprint Sep 2026

Supercritical mean--field limit for magnetized Hamiltonian dynamic

The magnetized Vlasov--Poisson equation is a fundamental kinetic model for collisionless plasmas. We establish its quasi-neutral limit in two dimensions in the presence of a spatially inhomogeneous and time-dependent external magnetic field. In the same setting, we also establish the combined mean-field and quasi-neutr...

Immanuel Ben Porat, Gui-Qiang G. Chen, Difan Yuan · 1 citation

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