2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2026
Scalar anomalous dissipation and optimal regularity via iterated homogenization
Jan Burczak, László Székelyhidi, Bian Wu
For any we construct divergence free vector fields in and a sequence of diffusivities such that, for an arbitrary initial datum from a l…
math.AP2023★ 2 cited
Anomalous dissipation and Euler flows
Jan Burczak, László Székelyhidi, Bian Wu
We show anomalous dissipation of scalars advected by weak solutions to the incompressible Euler equations with $C^{(\sfrac{1}{3})^-}$ regularity, for an arbitrary initial datum in…
math.AP2022
On stable solutions to the Euler equations in convex planar domains
Bian Wu
In convex planar domains, given an initial vorticity with one sign, we study the regularity and geometric properties of the dynamically stable solutions to the Euler equations in t…