All articles tagged with #mathematical physics
Three mathematicians have rigorously proved how microscopic particle behavior leads to macroscopic fluid dynamics, resolving a long-standing aspect of Hilbert's sixth problem and clarifying why time appears to flow only forward at larger scales.
Mathematicians may have solved Hilbert's sixth problem by developing a framework that unifies microscopic particle behavior with macroscopic fluid equations, bridging a 125-year-old gap in understanding how the laws of physics operate across different scales, with potential applications in weather modeling and fluid dynamics.
Argentinian mathematician Luis Caffarelli has won the 2023 Abel Prize for his work on equations that are important for describing physical phenomena, such as how ice melts and fluids flow. Caffarelli is the first person born in South America to win the award. Many of Caffarelli’s most celebrated results have to do with the regularity of the solutions of so-called partial differential equations, which are among the most important equations in maths and physics.