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Lyapunov functionals for a Maxwell gas

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This paper gives a sufficient condition for a convex and isotropic functional of the solution to the spatially homogeneous Boltzmann equation for Maxwellian pseudomolecules to be monotonically nonincreasing in time. This condition provides a unified framework within which many previous results are easily derived.

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Communicated by L.Arkeryd

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Toscani, G. Lyapunov functionals for a Maxwell gas. Arch. Rational Mech. Anal. 119, 301–307 (1992). https://doi.org/10.1007/BF01837112

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