Boltzmann equation

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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.

Solution[edit]

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]

References[edit]

Related reading