Her Maths StoryFeb 25

“Looking back, my path has not been linear, and I changed direction more than once; however, what has stayed constant is curiosity, even when the topics and the places were changing. This is also what I like most about mathematics: there is room for many different trajectories, as long as you keep following questions that genuinely interest you.” - Mikaela Iacobelli

➡️ https://hermathsstory.eu/mikaela-iacobelli

#Academia #PhD #AssociateProfessor #MathematicalPhysics #PDEs #KineticTheory #MathsJourney #WomenInSTEM #WomenInMaths #HerMathsStory

N-gated Hacker NewsJul 2, 2025
🤓 Oh joy, another thrilling episode of "Let's Pretend We Understand Hilbert and Boltzmann" — because fluid dynamics and kinetic theory are obviously everyone's favorite cocktail party topics. 🍸🔬 Good luck keeping your eyes open through this math-induced coma! 😴💤
https://arxiv.org/abs/2503.01800 #HackerNews #FluidDynamics #KineticTheory #MathHumor #ScienceComedy #HackerNews #ngated
Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory

In this paper, we rigorously derive the fundamental PDEs of fluid mechanics, such as the compressible Euler and incompressible Navier-Stokes-Fourier equations, starting from the hard sphere particle systems undergoing elastic collisions. This resolves Hilbert's sixth problem, as it pertains to the program of deriving the fluid equations from Newton's laws by way of Boltzmann's kinetic theory. The proof relies on the derivation of Boltzmann's equation on 2D and 3D tori, which is an extension of our previous work (arXiv:2408.07818).

arXiv.org