Fluids with anisotropic viscosity

Jean Yves Chemin; Benoît Desjardins; Isabelle Gallagher; Emmanuel Grenier

doi:10.1051/m2an:2000143

Fluids with anisotropic viscosity

Jean Yves Chemin^*
, Benoît Desjardins
, Isabelle Gallagher
, Emmanuel Grenier

^*Corresponding author for this work

Université Paris 6
Commissariat à l’énergie atomique et aux énergies alternatives
Université Paris-Saclay
Unité de Mathématiques Pures et Appliquées de l'ENS de Lyon

Research output: Contribution to journal › Article › peer-review

147 Citations (Scopus)

Abstract

Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual. In the case of rotating fluids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global wellposedness for fast enough rotation.

Original language	English
Pages (from-to)	315-335
Number of pages	21
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume	34
Issue number	2
DOIs	https://doi.org/10.1051/m2an:2000143
Publication status	Published - 2000
Externally published	Yes

Keywords

Navier-Stokes equations
Rotating fluids
Strichartz estimates

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10.1051/m2an:2000143

Cite this

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title = "Fluids with anisotropic viscosity",

abstract = "Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual. In the case of rotating fluids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global wellposedness for fast enough rotation.",

keywords = "Navier-Stokes equations, Rotating fluids, Strichartz estimates",

author = "Chemin, \{Jean Yves\} and Beno{\^i}t Desjardins and Isabelle Gallagher and Emmanuel Grenier",

year = "2000",

doi = "10.1051/m2an:2000143",

language = "English",

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pages = "315--335",

journal = "ESAIM: Mathematical Modelling and Numerical Analysis",

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TY - JOUR

T1 - Fluids with anisotropic viscosity

AU - Chemin, Jean Yves

AU - Desjardins, Benoît

AU - Gallagher, Isabelle

AU - Grenier, Emmanuel

PY - 2000

Y1 - 2000

N2 - Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual. In the case of rotating fluids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global wellposedness for fast enough rotation.

AB - Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual. In the case of rotating fluids, in the whole space, we prove Strichartz-type anisotropic, dispersive estimates which allow us to prove global wellposedness for fast enough rotation.

KW - Navier-Stokes equations

KW - Rotating fluids

KW - Strichartz estimates

UR - https://www.scopus.com/pages/publications/0034401896

U2 - 10.1051/m2an:2000143

DO - 10.1051/m2an:2000143

M3 - Article

AN - SCOPUS:0034401896

SN - 2822-7840

VL - 34

SP - 315

EP - 335

JO - ESAIM: Mathematical Modelling and Numerical Analysis

JF - ESAIM: Mathematical Modelling and Numerical Analysis

IS - 2

ER -

Fluids with anisotropic viscosity

Abstract

Keywords

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