From Newton's Laws to Fluid Mechanics: Deriving the Boltzmann Equation - Award Lecture

Explore the fundamental connections between particle dynamics and fluid mechanics in this award lecture by Isabelle Gallagher. Delve into the longstanding open problem of deriving fluid mechanics equations from Newton's laws for elementary particles in rarefied gases, a challenge posed by Hilbert in his 6th problem in 1900. Examine the emergence of irreversibility in Newton's reversible dynamics and the concept of "propagation of chaos" introduced by Boltzmann. Discover how these notions contribute to the derivation of the Boltzmann equation in kinetic theory, a crucial step towards understanding fluid dynamics. Learn about the collaborative research efforts with Thierry Bodineau, Laure Saint Raymond, and Sergio Simonella in addressing these complex mathematical and physical concepts.