Fluid Dynamics
In 2025, a team led by Zaher Hani at the University of Michigan solved one of David Hilbert's longstanding problems, seamlessly linking the mathematical descriptions of fluids across different scales. This breakthrough connects microscopic particle behavior to macroscopic flows like water in a sink. The achievement draws on techniques from quantum field theory and promises insights into atmospheric and oceanic dynamics.
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Researchers have achieved a breakthrough by pushing electrons in graphene to supersonic speeds, creating a hydraulic jump similar to a sonic boom. This experiment, conducted using a microscopic nozzle, marks the first observation of such electron behavior. The findings could help resolve debates on electrically charged shockwaves.