# Stability of global equilibrium for the multi-species Boltzmann equation in $L^\infty$ settings

Abstract : We prove the stability of global equilibrium in a multi-species mixture , where the different species can have different masses, on the 3-dimensional torus. We establish stability estimates in L ∞ x,v (w) where w = w(v) is either polynomial or exponential, with explicit threshold. Along the way we extend recent estimates and stability results for the mono-species Boltzmann operator not only to the multi-species case but also to more general hard potential and Maxwellian kernels.
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https://hal.archives-ouvertes.fr/hal-01492053
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Submitted on : Friday, March 17, 2017 - 6:48:48 PM
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### Citation

Marc Briant. Stability of global equilibrium for the multi-species Boltzmann equation in $L^\infty$ settings. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2016, 36 (12), pp.6669 - 6688. ⟨10.3934/dcds.2016090⟩. ⟨hal-01492053⟩

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