3 papers
math.AP2026
On Cauchy Problems for Parabolic Equations with Rough Coefficients
Cheng Yuan
The presented work investigates the Cauchy problems for parabolic equations in both non-divergence and divergence forms with rough diffusion coefficients, which commonly arise in c…
math.AP2026
Global Well-posedness and Regularity of the Dynamical Prandtl Equation
Hao Jia, Zhen Lei, Cheng Yuan
In this paper, we study the dynamical Prandtl equation, which plays an important role in the study of the vanishing viscosity limit of the Navier--Stokes equations. Our focus is on…
math.AP2024
Sharp Asymptotic Stability of Blasius Profile in the Steady Prandtl Equation
Hao Jia, Zhen Lei, Cheng Yuan
This work presents an asymptotic stability result concerning the self-similar Blasius profiles of the stationary Prandtl boundary layer equation. Initially dem…