On the Onsager's energy conservation for the convergence dynamics of the 3D-Leray-$α$ gaseous star model

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Detalles Bibliográficos
Autores principales:	Rahmani, Anis, Mennouni, Abdelaziz
Formato:	Preprint
Publicado:	2024
Materias:	Analysis of PDEs
Acceso en línea:	Acceder al recurso
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author	Rahmani, Anis Mennouni, Abdelaziz
author_facet	Rahmani, Anis Mennouni, Abdelaziz
contents	This research presents a model that accurately represents the motions of gaseous stars We employ the Navier-Stokes-Poisson system to transform compressible Euler equations into non-compressible ones by combining quasineutral and inviscid conditions. We intend to put Onsager's hypothesis to the test using the Leray-alpha gaseous star model. This conjecture connects energy conservation with the regularity of weak solutions in the Euler equations. The model used in this work functions as an inviscid regularization of the Euler equations. It technically converges to the Euler equations as the regularization length scale $α$ approaches $0^{+}$.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_17152
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	On the Onsager's energy conservation for the convergence dynamics of the 3D-Leray-$α$ gaseous star model Rahmani, Anis Mennouni, Abdelaziz Analysis of PDEs This research presents a model that accurately represents the motions of gaseous stars We employ the Navier-Stokes-Poisson system to transform compressible Euler equations into non-compressible ones by combining quasineutral and inviscid conditions. We intend to put Onsager's hypothesis to the test using the Leray-alpha gaseous star model. This conjecture connects energy conservation with the regularity of weak solutions in the Euler equations. The model used in this work functions as an inviscid regularization of the Euler equations. It technically converges to the Euler equations as the regularization length scale $α$ approaches $0^{+}$.
title	On the Onsager's energy conservation for the convergence dynamics of the 3D-Leray-$α$ gaseous star model
topic	Analysis of PDEs
url	https://arxiv.org/abs/2409.17152

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