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 ...

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.

The Boltzmann transport equation (BTE) serves as a fundamental model for describing the statistical behaviour of particles in a medium and finds applications across radiative transfer, neutron ...

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 ...

Relativistic versions of the quantum lattice Boltzmann equation are discussed. It is shown that the inclusion of nonlinear interactions requires the standard collision operator to be replaced by a ...

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 ...

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and delivered a speech that would echo through the next century. He outlined 10 — and ...

Methods of solution of the Boltzmann equation for the distribution of electrons in an anisotropic metal are discussed. Some general properties of integral equations are used to develop a method ...