Global Existence for an Isotropic Landau Model
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911799210672128 |
|---|---|
| author | Bowman, David Ji, Sehyun |
| author_facet | Bowman, David Ji, Sehyun |
| contents | Following the recent ideas of Guillen and Silvestre in $[9]$, we prove that the Fisher information is non-increasing along the flow of the isotropic Landau equation. We then use this fact to deduce global existence for the equation
$\partial_t f = (-Δ)^{-1}f \cdot Δf + f^2$ under a relatively lax set of conditions on the initial data. In particular, we remove the restrictive radially decreasing assumption of previous works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10810 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global Existence for an Isotropic Landau Model Bowman, David Ji, Sehyun Analysis of PDEs Following the recent ideas of Guillen and Silvestre in $[9]$, we prove that the Fisher information is non-increasing along the flow of the isotropic Landau equation. We then use this fact to deduce global existence for the equation $\partial_t f = (-Δ)^{-1}f \cdot Δf + f^2$ under a relatively lax set of conditions on the initial data. In particular, we remove the restrictive radially decreasing assumption of previous works. |
| title | Global Existence for an Isotropic Landau Model |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2403.10810 |