L$^2$-Hypocoercivity for non-equilibrium kinetic equations

Helge Dietert

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arXiv · 2310.13456

L$^2$-Hypocoercivity for non-equilibrium kinetic equations

Helge Dietert

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Abstract

The recent work [11] developed a general framework to show hypocoercivity for a stationary Gibbs state and allowed spatial degeneracy, confining potentials and boundary conditions. In this work, we show that the explicit energy approach in the weighted L$^2$ space works for general non-equilibrium steady states and that it can be adapted to cases with weaker confinement leading to algebraic decay.

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Helge Dietert. 2023-10-20. L$^2$-Hypocoercivity for non-equilibrium kinetic equations. https://arxiv.org/abs/2310.13456

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