10 citations · 17 across the 6 of their papers we have counts for
6 papers
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…
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 in a bounded open subset , we are interested in approximating it in the norm…
Scale invariant bounds for mixing in the Rayleigh-Taylor instability
Konstantin Kalinin, Govind Menon, Bian Wu
We study the Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal str…
Partially regular weak solutions of the stationary Navier-Stokes equations in dimension 6
Bian Wu
By using defect measures, we prove the existence of partially regular weak solutions to the stationary Navier-Stokes equations with external force $f \in L_{\text{loc}}^q \cap L^{3…
On supercritical divergence-free drifts
Bian Wu
For second-order elliptic or parabolic equations with subcritical or critical drifts, it is well-known that the Harnack inequality holds and their bounded weak solutions are Hölder…
Partially regular weak solutions of the Navier-Stokes equations in
Bian Wu
We show that for any given solenoidal initial data in and any solenoidal external force in with , there exist partially regular weak s…