Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field

Fuente: arXiv
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Autore principale: Liu, Xiaoran
Natura: Preprint
Pubblicazione: 2024
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author Liu, Xiaoran
author_facet Liu, Xiaoran
contents We consider the Oberbeck-Boussinesq system with gravitational force on the whole space. We prove the non-uniqueness of the system applying the unstable profile of Navier-Stokes equation.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17929
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field
Liu, Xiaoran
Analysis of PDEs
35K55 (Primary) 35A02 (Secondary)
We consider the Oberbeck-Boussinesq system with gravitational force on the whole space. We prove the non-uniqueness of the system applying the unstable profile of Navier-Stokes equation.
title Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field
topic Analysis of PDEs
35K55 (Primary) 35A02 (Secondary)
url https://arxiv.org/abs/2411.17929