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Gravity Waves on the Free Surface of an Incompressible Perfect Fluid of Finite Depth

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9783527617210openalex-snapshot
Methods of Mathematical Physics
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Methods of Mathematical Physics
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Linear Partial Differential Operators
inferredcites →https://doi.org/10.1016/s0076-5392(08)x6074-6openalex-snapshot
Theory of Partial Differential Equations
inferredcites →https://doi.org/10.1063/1.3057861openalex-snapshot
Methods of Mathematical Physics
inferredcites →https://doi.org/10.1112/blms/7.1.108openalex-snapshot
THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS
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Sur les ondes de surface de l’eau avec une justification mathématique des équations des ondes en eau peu profonde
inferredcites →https://doi.org/10.2307/2315373openalex-snapshot
Linear Partial Differential Operators.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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On the absence of splash singularities in the case of two-fluid interfaces
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A shallow water approximation for water waves
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Une théorie trois-dimensionnelle des ondes de surface de l’eau et le développement de Friedrichs
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Capillary-gravity waves for an incompressible ideal fluid
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On the Mathematical Description of Time-Dependent Surface Water Waves
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A regularity result for incompressible elastodynamics equations in the ALE coordinates
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Symmetry Analysis of Ideal Fluid Equations in Terms of Trajectories and Weber’s Potential
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On the 3-dimensional water waves system above a flat bottom
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Propagation of singularities for gravity-capillary water waves
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A MATHEMATICAL JUSTIFICATION OF THE FORCED KORTEWEG-DE VRIES EQUATION FOR CAPILLARY-GRAVITY WAVES
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Sobolev estimates for two dimensional gravity water waves
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A shallow water approximation for water waves over a moving bottom
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Nonstationary free boundary problem for perfect fluid with surface tension
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Wellposedness and Analytic Smoothing Effect for the Benjamin–Ono Equation
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On the Irrotational Flow of Incompressible Ideal Fluid in a Circular Domain with Free Surface
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On $H^∞$ Well-Posed Cauchy Problems for Some Weakly Hyperbolic Pseudo-differential Equations
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On the local existence of the free-surface Euler equation with surface tension
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A sharp regularity result for the Euler equation with a free interface
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A two-phase problem for capillary-gravity waves and theBenjamin-Ono equation
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A simple proof of well-posedness for the free-surface incompressible Euler equations
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Shallow water asymptotic models for the propagation of internal waves
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On the 2D free boundary Euler equation
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On a linear problem arising in dynamic boundaries
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A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid
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Well-posedness for the motion of an incompressible liquid with free surface boundary
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Global solutions for the gravity water waves equation in dimension 3
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Finite time singularities for the free boundary incompressible Euler equations
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Full Justification for the Extended Green–Naghdi System for an Uneven Bottom with/without Surface Tension
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A Regularity Result for the Incompressible Elastodynamics with a Free Interface
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Математические аспекты поверхностных волн на воде
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Global solutions of the gravity-capillary water-wave system in three dimensions
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Growth rates for the linearized motion of 3-D fluid interfaces with surface tension far from equilibrium
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Wellposedness of the two- and three-dimensional full water wave problem
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A priori estimates for two-dimensional water waves with angled crests
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Well-posedness of 3D vortex sheets with surface tension
inferred← citeshttps://doi.org/10.48550/arxiv.0910.3136openalex-snapshot
Well-posedness in smooth function spaces for the moving-boundary 1-D compressible Euler equations in physical vacuum
inferred← citeshttps://doi.org/10.48550/arxiv.1206.2208openalex-snapshot
On a class of self-similar 2D surface water waves
inferred← citeshttps://doi.org/10.48550/arxiv.1211.4299openalex-snapshot
Formulation of finite-time singularity for free-surface Euler equations
inferred← citeshttps://doi.org/10.48550/arxiv.1308.1423openalex-snapshot
Strichartz estimates for gravity water waves
inferred← citeshttps://doi.org/10.48550/arxiv.1406.6042openalex-snapshot
Global analysis of a model for capillary water waves in 2D
inferred← citeshttps://doi.org/10.48550/arxiv.1702.04674openalex-snapshot
Almost global existence of solutions for capillarity-gravity water waves equations with periodic spatial boundary conditions
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Water waves problem with surface tension in a corner domain II: the local well-posednes
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On the transition of the Rayleigh-Taylor instability in 2d water waves
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The quartic integrability and long time existence of steep water waves in 2D
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Anomalies of the tides
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