A simple proof of well-posedness for the free-surface
incompressible Euler equations

Daniel Coutand;  ; Steve Shkoller;

doi:10.3934/dcdss.2010.3.429

A simple proof of well-posedness for the free-surface incompressible Euler equations

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2010.3.429 ◽

2010 ◽

Vol 3 (3) ◽

pp. 429-449 ◽

Cited By ~ 27

Author(s):

Daniel Coutand ◽

◽

Steve Shkoller ◽

Keyword(s):

Free Surface ◽

Euler Equations ◽

Simple Proof ◽

Well Posedness ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Global well-posedness of the free-surface incompressible Euler equations with damping

Journal of Differential Equations ◽

10.1016/j.jde.2019.02.002 ◽

2019 ◽

Vol 267 (2) ◽

pp. 1066-1094

Author(s):

Jiali Lian

Keyword(s):

Free Surface ◽

Euler Equations ◽

Well Posedness ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Global well-posedness of the free-surface damped incompressible Euler equations with surface tension

Communications in Mathematical Sciences ◽

10.4310/cms.2019.v17.n3.a1 ◽

2019 ◽

Vol 17 (3) ◽

pp. 587-608

Author(s):

Jiali Lian

Keyword(s):

Surface Tension ◽

Free Surface ◽

Euler Equations ◽

Well Posedness ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Well-posedness of the free-surface incompressible Euler equations with or without surface tension

Journal of the American Mathematical Society ◽

10.1090/s0894-0347-07-00556-5 ◽

2007 ◽

Vol 20 (03) ◽

pp. 829-931 ◽

Cited By ~ 163

Author(s):

Daniel Coutand ◽

Steve Shkoller

Keyword(s):

Surface Tension ◽

Free Surface ◽

Euler Equations ◽

Well Posedness ◽

Incompressible Euler Equations ◽

Incompressible Euler

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On the Breakdown of Solutions to the Incompressible Euler Equations with Free Surface Boundary

SIAM Journal on Mathematical Analysis ◽

10.1137/20m1360384 ◽

2021 ◽

Vol 53 (3) ◽

pp. 3366-3384

Author(s):

Daniel Ginsberg

Keyword(s):

Free Surface ◽

Euler Equations ◽

Surface Boundary ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Local well-posedness and regularity criterion for the density dependent incompressible Euler equations

Nonlinear Analysis ◽

10.1016/j.na.2010.04.013 ◽

2010 ◽

Vol 73 (3) ◽

pp. 750-766 ◽

Cited By ~ 6

Author(s):

Yong Zhou

Keyword(s):

Euler Equations ◽

Regularity Criterion ◽

Well Posedness ◽

Density Dependent ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Global well-posedness of the free-interface incompressible Euler equations with damping

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020106 ◽

2020 ◽

Vol 40 (4) ◽

pp. 2061-2087

Author(s):

Jiali Lian ◽

Keyword(s):

Euler Equations ◽

Well Posedness ◽

Free Interface ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary

Memoirs of the American Mathematical Society ◽

10.1090/memo/1318 ◽

2021 ◽

Vol 270 (1318) ◽

pp. 0-0

Author(s):

Chao Wang ◽

Zhifei Zhang ◽

Weiren Zhao ◽

Yunrui Zheng

Keyword(s):

Free Boundary ◽

Euler Equations ◽

Well Posedness ◽

Incompressible Euler Equations ◽

Incompressible Euler

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On the well-posedness of the incompressible Euler equations in a larger space of Besov–Morrey type

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2022.v19.n1.a2 ◽

2022 ◽

Vol 19 (1) ◽

pp. 23-49

Author(s):

Lucas C. F. Ferreira ◽

Jhean E. Pérez-López

Keyword(s):

Euler Equations ◽

Well Posedness ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Local well-posedness of the incompressible Euler equations in B∞,11 and the inviscid limit of the Navier–Stokes equations

Journal of Functional Analysis ◽

10.1016/j.jfa.2018.07.004 ◽

2019 ◽

Vol 276 (9) ◽

pp. 2821-2830

Author(s):

Zihua Guo ◽

Jinlu Li ◽

Zhaoyang Yin

Keyword(s):

Euler Equations ◽

Stokes Equations ◽

Inviscid Limit ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Incompressible Euler Equations ◽

Incompressible Euler

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Zero surface tension limit of the free-surface incompressible Euler equations with damping

Nonlinear Analysis ◽

10.1016/j.na.2017.12.012 ◽

2018 ◽

Vol 169 ◽

pp. 218-241 ◽

Cited By ~ 2

Author(s):

Jiali Lian

Keyword(s):

Surface Tension ◽

Free Surface ◽

Euler Equations ◽

Incompressible Euler Equations ◽

Incompressible Euler

Download Full-text