Boltzmann equation

From SklogWiki
Jump to: navigation, search
Simeq0.png This article is a 'stub' page, it has no, or next to no, content. It is here at the moment to help form part of the structure of SklogWiki. If you add sufficient material to this article then please remove the {{Stub-general}} template from this page.

The Boltzmann equation is given by ([1] Eq 1 Chap. IX)

\frac{\partial f_i}{\partial t} = - {\mathbf u}_i \cdot \frac{\partial f_i}{\partial {\mathbf r}} - {\mathbf F}_i \cdot \frac{\partial f_i}{\partial {\mathbf u}_i } + \sum_j C(f_i,f_j)

where is an external force and the function C() represents binary collisions.


Recently Gressman and Strain [2] have provided a proof of global existence and rapid decay to equilibrium of classical solutions to the Boltzmann equation.

See also[edit]


Related reading