3 papers
math.AP2026
On the well-posedness of the compressible Navier-Stokes equations
Zihua Guo, Minghua Yang, Zeng Zhang
We consider the Cauchy problem to the barotropic compressible Navier-Stokes equations. We obtain optimal local well-posedness in the sense of Hadamard in the critical Besov space $…
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…
math.AP2025
On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law
Zihua Guo, Zeng Zhang
The incompressible Navier-Stokes-Maxwell system with solenoidal Ohm's law can be viewed as as the asymptotic limit of the two-fluid incompressible Navier-Stokes-Maxwell system as t…