Analytic regularity for Navier-Stokes-Korteweg model onpseudo-measure spaces
Language
en
Document de travail - Pré-publication
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Pseudo-measure space
Analyticity
Navier-Stokes-Kotreweg system
Compressible fluids
Origin
Hal imported