From the 1 of 4 linked papers with an AI index.
4 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…
Nonlinear stability of compressible vortex sheets in three-dimensional elastodynamics
Robin Ming Chen, Feimin Huang, Dehua Wang +1
We investigate the nonlinear stability of compressible vortex sheet solutions for three-dimensional (3D) isentropic elastic flows. Building upon previous results on the weakly line…
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-Po…
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…