The Maxwell–Boltzmann distribution describes the probability distribution of molecular speeds in a sample of an ideal gas. Introduced over 150 years ago, it is based on the work of Scottish physicist ...

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 ...

This is a preview. Log in through your library . Abstract Flow of a dilute gas near a solid surface exhibits non-continuum effects that are manifested in the Knudsen layer. The non-Newtonian nature 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 ...