Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint

E. Grenier

doi:10.4310/MRL.1999.v6.n3.a1

Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint

E. Grenier^*

^*Corresponding author for this work

Université Paris 6

Research output: Contribution to journal › Review article › peer-review

4 Citations (Scopus)

Abstract

In this paper we study how the modulation of Lyapounov functionnals of Hamiltonian systems leads to nontrivial norms which can be used to investigate the linear and nonlinear stability of boundary layers. We apply this method to Euler equations of incompressible and compressible ideal fluids in 2D.

Original language	English
Pages (from-to)	257-269
Number of pages	13
Journal	Mathematical Research Letters
Volume	6
Issue number	3-4
DOIs	https://doi.org/10.4310/MRL.1999.v6.n3.a1
Publication status	Published - 1999
Externally published	Yes

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10.4310/MRL.1999.v6.n3.a1

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title = "Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint",

abstract = "In this paper we study how the modulation of Lyapounov functionnals of Hamiltonian systems leads to nontrivial norms which can be used to investigate the linear and nonlinear stability of boundary layers. We apply this method to Euler equations of incompressible and compressible ideal fluids in 2D.",

author = "E. Grenier",

year = "1999",

doi = "10.4310/MRL.1999.v6.n3.a1",

language = "English",

volume = "6",

pages = "257--269",

journal = "Mathematical Research Letters",

issn = "1073-2780",

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T1 - Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint

AU - Grenier, E.

PY - 1999

Y1 - 1999

N2 - In this paper we study how the modulation of Lyapounov functionnals of Hamiltonian systems leads to nontrivial norms which can be used to investigate the linear and nonlinear stability of boundary layers. We apply this method to Euler equations of incompressible and compressible ideal fluids in 2D.

AB - In this paper we study how the modulation of Lyapounov functionnals of Hamiltonian systems leads to nontrivial norms which can be used to investigate the linear and nonlinear stability of boundary layers. We apply this method to Euler equations of incompressible and compressible ideal fluids in 2D.

UR - https://www.scopus.com/pages/publications/0033473082

U2 - 10.4310/MRL.1999.v6.n3.a1

DO - 10.4310/MRL.1999.v6.n3.a1

M3 - Review article

AN - SCOPUS:0033473082

SN - 1073-2780

VL - 6

SP - 257

EP - 269

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 3-4

ER -

Boundary layers of 2D inviscid fluids from a Hamiltonian viewpoint

Abstract

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