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arXiv · 2605.27695

Non Maxwellian long-time asymptotics for Homoenergetic Boltzmann flows under strong shear

Alessia Nota·Juan J. L. Velázquez
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Abstract

We compute, using matched asymptotic expansions, the long-time asymptotics of homoenergetic solutions to the nonlinear Boltzmann equation, in presence of a shear term, in the hyperbolic dominated regime, for homogeneous collision kernels for which there are infinitely many collisions as $\tau \to \infty$. The mass of the resulting solutions is concentrated in an increasing family of dyadic scales, something that makes the behaviour of these solutions very different from classical Maxwellian distributions.

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Alessia Nota, Juan J. L. Velázquez. 2026-05-26. Non Maxwellian long-time asymptotics for Homoenergetic Boltzmann flows under strong shear. https://arxiv.org/abs/2605.27695

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