arXiv Open Access 2023

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

Helge Dietert

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Abstrak

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.

Topik & Kata Kunci

math.AP

Penulis (1)

Helge Dietert

Format Sitasi

APA MLA BibTeX

Dietert, H. (2023). L$^2$-Hypocoercivity for non-equilibrium kinetic equations. https://arxiv.org/abs/2310.13456

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓