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Anke Pietsch

Dr. Jan Burczak (University of Leipzig): Euler-driven scalar anomalous dissipation

Tuesday, 07.01.2025 14:15 im Raum SRZ 203

Mathematik und Informatik

Scalar anomalous dissipation is a phenomenon in fluid dynamics, when a quantity advected by a fluid (say, density of pollution particles advected by a water current) is dissipated even without assistance of viscosity. This behaviour can be seen as an extreme version of mixing; it has strong connections to turbulence: in particular to Kolmogorov's 'zeroth law', and to hypothesis of Richardson on turbulent trajectories. I will show that any scalar advected by a typical weak solution of incompressible 3D Euler equation exhibits anomalous dissipation. It seems to be the first anomalous dissipation result where the scalar is advected by a solution of equation of classical hydrodynamics. The talk is based on a joint result with L. Székelyhidi and B. Wu.



Angelegt am 09.12.2024 von Anke Pietsch
Geändert am 12.12.2024 von Anke Pietsch
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Kolloquium Holzegel/Seis/Weber