Author

Le-Yang Wang

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Preprint Aug 2026

Linear Corrector Estimates and Corrected Pressure Convergence for a Two-Parameter Hyperbolic Relaxation of the Incompressible Navier--Stokes Equations

We study a two-parameter first-order hyperbolic relaxation approximation of the incompressible Navier--Stokes equations on the two-dimensional torus, under the derivative-level large-perturbation assumptions of Huang, Rohde and Zhang. Building on the auxiliary-system approach used in earlier pressure-convergence result...

Le-Yang Wang, Wen-Long Lin · 0 citations

Preprint Aug 2026

Vanishing boundary geometry and critical pressure compactness for the three-dimensional Navier--Stokes equations

We develop a boundary blow-up scheme for the three-dimensional nonstationary Navier--Stokes equations in domains whose local boundary graphs belong to $W^{2-1/P_b,P_b}(\mathbb R^2)$ with $P_b>3$. The argument is designed to remove the $P_b>15/4$ restriction in the boundary partial-regularity theorem of Breit. After a r...

Le-Yang Wang · 0 citations