Bian Wu

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math.AP2025

Scale invariant bounds for the Kelvin-Helmholtz instability

Konstantin Kalinin, Govind Menon, Bian Wu

We derive robust long-time a-priori estimates for the Navier-Stokes equation in a two-dimensional infinite strip which are uniform in the Reynolds number. These estimates provide s…

math.AP2024

Approximation of divergence-free vector fields vanishing on rough planar sets

Giacomo Del Nin, Bian Wu

Given any divergence-free vector field of Sobolev class $W_{0}^{m, p} (I^c ◯)$ in a bounded open subset $I^c ◯ \subset R^{2}$ , we are interested in approximating it in the $W^{m, p}$ no…