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arXiv · 2505.12017

Global regularity and decay estimates for the relativistic Landau equation

Christopher Henderson·Stanley Snelson·Andrei Tarfulea·Maja Tasković
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Abstract

We consider the relativistic Landau equation in the spatially inhomogeneous, far-from-equilibrium regime. We establish regularity estimates of all orders, implying that solutions remain smooth for as long as some zeroth-order conditional bounds hold. We also prove that polynomial and exponential decay in the momentum variable is propagated forward in time. As part of our proof, we establish a Schauder estimate for linear relativistic kinetic equations, that may be of independent interest.

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Christopher Henderson, Stanley Snelson, Andrei Tarfulea, Maja Tasković. 2025-05-17. Global regularity and decay estimates for the relativistic Landau equation. https://arxiv.org/abs/2505.12017

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