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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…
math.AP2023
Backward Uniqueness for 3D Navier-Stokes Equations with Non-trivial Final Data and Applications
Zhen Lei, Zhaojie Yang, Cheng Yuan
Presented is a backward uniqueness result of bounded mild solutions of 3D Navier-Stokes Equations in the whole space with non-trivial final data. A direct consequence is that a sol…