Anomalous Dissipation and the Strong Onsager Conjecture - Part 2: L^3 Convex Integration

Delve into the intricacies of anomalous dissipation and the Strong Onsager Conjecture in this 57-minute lecture from Max Planck Science. Explore the phenomenon of unusual energy losses in turbulent flows and understand how energy from macroscopic motions is transferred to smaller scales and dissipated as heat. Examine Lars Onsager's hypothesis on the mathematical description of dissipation in turbulent flow, focusing on the symmetry of coefficients in energy transfer equations. Investigate the core principle of the Strong Onsager Conjecture, which posits that energy transfer between scales in turbulent flows should be direction-independent. Learn about the significance of this conjecture in understanding and modeling vortices, turbulence, and energy transfer in various physical systems. Gain insights into the ongoing research and discussions surrounding this unproven yet influential hypothesis in the physics community. This lecture specifically covers Part 2 of the topic, concentrating on L^3 convex integration techniques.