Explore a 24-minute conference talk from GSI that delves into the fascinating world of fluid dynamics, focusing on a variational principle of minimum for the Navier-Stokes equation. Discover how the symplectic formalism is applied to this fundamental equation in fluid mechanics, providing new insights into its mathematical structure and potential applications. Gain a deeper understanding of the complex relationships between fluid flow, pressure, and viscosity as the speaker presents their innovative approach to analyzing and solving this important equation.