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Analytic regularity for Navier-Stokes-Korteweg model onpseudo-measure spaces
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | TENDANI SOLER, Adrien | |
| dc.date.accessioned | 2024-04-04T02:43:23Z | |
| dc.date.available | 2024-04-04T02:43:23Z | |
| dc.date.created | 2021-12-16 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191329 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.subject.en | Pseudo-measure space | |
| dc.subject.en | Analyticity | |
| dc.subject.en | Navier-Stokes-Kotreweg system | |
| dc.subject.en | Compressible fluids | |
| dc.title.en | Analytic regularity for Navier-Stokes-Korteweg model onpseudo-measure spaces | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03483526 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03483526v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=TENDANI%20SOLER,%20Adrien&rft.genre=preprint |
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