On the existence of weak solutions for a family of unsteady rotational smagorinsky models - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Pure and Applied Functional Analysis Année : 2023

On the existence of weak solutions for a family of unsteady rotational smagorinsky models

Résumé

In this paper we show that the rotational Smagorinsky model for turbulent flows, can be put, for a wide range of parameters in the setting of Bochner pseudo-monotone evolution equations. This allows to prove existence of weak solutions a) identifying a proper functional setting in weighted spaces and b) checking some easily verifiable assumptions, at fixed time. We also will discuss the critical role of the exponents present in the model (power of the distance function and power of the curl) for what concerns the application of the theory of pseudo-monotone operators.
Fichier principal
Vignette du fichier
4names-fin-2.pdf (417.78 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03333561 , version 1 (03-09-2021)

Identifiants

  • HAL Id : hal-03333561 , version 1

Citer

Luigi C Berselli, Alex Kaltenbach, Roger Lewandowski, Michael Růžička. On the existence of weak solutions for a family of unsteady rotational smagorinsky models. Pure and Applied Functional Analysis, 2023, 8 (1), pp.83-102. ⟨hal-03333561⟩
63 Consultations
41 Téléchargements

Partager

Gmail Facebook X LinkedIn More