TENDANI SOLER, Adrien

Métadonnées

Afficher la notice complète

Licence d’utilisation du document

TENDANI SOLER, Adrien
Institut de Mathématiques de Bordeaux [IMB]

Langue

Document de travail - Pré-publication

Résumé en anglais

The purpose of this work is to study the existence and analytic regularisation effect for the compressible Navier-Stokes system with quantum pressure in pseudo-measure spaces. This system has been considered by B. Haspotand an analytic regularisation effect for a Korteweg type system was considered by F. Charve, R. Danchin andJ. Xu, both of them in Besov spaces. Here we give a better lower bound of the radius of analyticity near zero.This work is an opportunity to deepen the study of partial differential equations in pseudo-measure spaces byintroducing a new functional setting to deal with non-linear terms. The pseudo-measure spaces are well-adaptedto obtain a point-wise control of solutions, with to study of turbulence as perspective.< Réduire

Mots clés en anglais

Pseudo-measure space

Analyticity

Navier-Stokes-Kotreweg system

Compressible fluids

Métadonnées

Partager cette publication !

Licence d’utilisation du document

Analytic regularity for Navier-Stokes-Korteweg model onpseudo-measure spaces

Langue

Résumé en anglais

Mots clés en anglais

URI

Origine

Unités de recherche