most citedAnomalous dissipation and Euler flows

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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…