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^*

^*此作品的通讯作者

Université Paris 6

科研成果: 期刊稿件 › 文献综述 › 同行评审

4 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	257-269
页数	13
期刊	Mathematical Research Letters
卷	6
期	3-4
DOI	https://doi.org/10.4310/MRL.1999.v6.n3.a1
出版状态	已出版 - 1999
已对外发布	是

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10.4310/MRL.1999.v6.n3.a1

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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",

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

AU - Grenier, E.

PY - 1999

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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

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