2 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
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…