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.

This is a preview. Log in through your library . Abstract A general theoretical treatment is given of the linearized Boltzmann equation for flow in a bounded medium under conditions when the collision ...

Kinetic theory provides a vital framework for bridging the microscopic motion of individual particles and the macroscopic properties observed in gases and fluids. Central to this field is the ...

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 ...