3 papers
math.AP2026
Electrostatic effects on critical regularity and long-time behavior of viscous compressible fluids
Ling-yun Shou, Zihao Song
We consider the compressible Navier-Stokes-Poisson equations in (), a classical model for barotropic compressible flows coupled with a self-consistent electr…
math.AP2026
The compressible Euler system with damping in hybrid Besov spaces: global well-posedness and relaxation limit
Timothée Crin-Barat, Zihao Song
We investigate the global well-posedness of the compressible Euler system with damping in Rd (d\geq1) and its relaxation limit toward the porous medium equation. In [12], the first…
math.AP2025
Global well-posedness for the 3D compressible Navier-Stokes equations in optimal Besov space
Zihua Guo, Zihao Song, Minghua Yang
We consider the Cauchy problem to the 3D barotropic compressible Navier-Stokes equation. We prove global well-posedness, assuming that the initial data has small nor…