3 papers
math.AP2026
Global Well-Posedness of the Vacuum Free Boundary Problem for the Degenerate Compressible Navier-Stokes Equations With Large Data of Spherical Symmetry
Gui-Qiang G. Chen, Jiawen Zhang, Shengguo Zhu
The study of global-in-time dynamics of vacuum is crucial for understanding viscous flows. In particular, physical vacuum, characterized by a moving boundary with nontrivial finite…
math.AP2025
Quantum Quasi-neutral Limits and Isothermal Euler Equations
Immanuel Ben Porat, Gui-Qiang G. Chen, Difan Yuan
We provide a rigorous justification of the semiclassical quasi-neutral and the quantum many-body limits to the isothermal Euler equations. We consider the nonlinear Schrödinger-Poi…
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…