Boltzmann equation

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

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where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle } is an external force and the function C() represents binary collisions.

Solution

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

See also

• H-theorem

References

Related reading

• L. Desvillettes and Cédric Villani "On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation", Inventiones mathematicae 159 pp. 245-316 (2005)