Dissipation and Mixing: From Turbulent Flows to Weak Solutions - Lecture 2

Explore the second lecture in a series on dissipation and mixing in fluid dynamics, delivered by László Székelyhidi at the International Centre for Theoretical Sciences. Delve into the connections between turbulent flows and weak solutions of fluid equations, building upon the foundations laid in the first lecture. Examine advanced concepts in statistical hydrodynamics, including Onsager's conjecture on energy conservation thresholds in Euler equations. Investigate recent breakthroughs in fluid mechanics, such as the proof of Onsager's conjecture for Hölder spaces and the existence of multiple weak solutions for Navier-Stokes equations. Gain insights into cutting-edge research topics like intermittent constructions, H^{1/2} weak solutions for 3D Euler equations, and stochastic convex integration methods. Suitable for PhD students, postdocs, and faculty members working on mathematical aspects of fluid flow equations, this lecture is part of a comprehensive program aimed at fostering discussions and idea exchanges among leading researchers in the field.