Auxiliary Functionals - A Path to Solving the Problem of Turbulence

Explore the cutting-edge approach to solving the long-standing problem of turbulence in this seminar presented by Sergei Chernyshenko from Imperial College London. Delve into the concept of auxiliary functionals and their potential to revolutionize classical fluid dynamics. Learn how recent breakthroughs in sum-of-squares polynomial optimization and semidefinite programming are being applied to tackle this complex issue. Gain insights into the fundamental principles behind this innovative method and its applications to systems with energy-conserving quadratic nonlinearities, such as the Kuramoto–Sivashinsky and Navier-Stokes equations. Discover how this remarkably simple yet powerful approach could pave the way for significant advancements in understanding and modeling turbulence.