Global regularity and decay estimates for the relativistic Landau equation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908369138221056 |
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| author | Henderson, Christopher Snelson, Stanley Tarfulea, Andrei Tasković, Maja |
| author_facet | Henderson, Christopher Snelson, Stanley Tarfulea, Andrei Tasković, Maja |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global regularity and decay estimates for the relativistic Landau equation Henderson, Christopher Snelson, Stanley Tarfulea, Andrei Tasković, Maja Analysis of PDEs 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. |
| title | Global regularity and decay estimates for the relativistic Landau equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.12017 |