Mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modeling the behavior of gases.

Kinetic equations serve as fundamental tools for understanding the statistical behaviour of particles within a system, bridging the microscopic world of individual particle interactions with ...

Abstract: This paper proves the existence of small-amplitude global-in-time unique mild solutions to both the Landau equation including the Coulomb potential and the Boltzmann equation without angular ...

It has taken 140 years, but only now do we have mathematical proof that a seminal equation describing the behaviour of gases is correct. Robert Strain and Philip Gressman at the University of ...

Discover Boltzmann's Brain argument and its role in understanding fluctuations in a thermal equilibrium universe. I will conclude this paper with an idea of my old assistant, Dr. Schuetz. We assume ...

Science popularization has its legends and heroes, just like any other field, though I’ve heard no plans as yet to open a Hall of Fame. Should that day come, one of the first inductees would ...

Right now, molecules in the air are moving around you in chaotic and unpredictable ways. To make sense of such systems, physicists use a law known as the Boltzmann distribution, which, rather than ...