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Cauchy problem in a scale of banach spaces and its application to the shallow water theory justification
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.3160010101openalex-snapshot
The formation of breakers and bores the theory of nonlinear wave propagation in shallow water and open channels
inferredcites →https://doi.org/10.1007/bf01350150openalex-snapshot
�quations et Syst�mes Non-Lin�aires, Hyperboliques Non-Stricts
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Equations of fluid dynamics—free surface problems
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Justifying Asymptotics for 3D Water–Waves
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First-Order Evolution Equations and the Galerkin Method
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Differential equations in a Banach space
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A Stability Criterion for Two-Fluid Interfaces and Applications
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On the two-phase free boundary problem for two-dimensional water waves
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Large time existence for 3D water-waves and asymptotics
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Validity of Whitham’s Equations for the Modulation of Periodic Traveling Waves in the NLS Equation
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Asymptotic shallow water models with non smooth topographies
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Analyticity and instabilities for interfaces: From Kelvin-Helmholtz instability to water waves
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Beyond Cauchy–Kowalewsky: a Picard–Lindelöf theorem for smooth PDE
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Rigorous Asymptotic Models of Water Waves
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Asymptotic Shallow Models Arising in Magnetohydrodynamics
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Water waves over a rough bottom in the shallow water regime
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Phase dynamics in the complex Ginzburg–Landau equation
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A second-order Cauchy problem in a scale of Banach spaces and application to Kirchhoff equations
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Isobe–Kakinuma model for water waves as a higher order shallow water approximation
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Validity of the KdV equation for the modulation of periodic traveling waves in the NLS equation
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Fully nonlinear long-wave models in the presence of vorticity
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Derivation and well-posedness of the extended Green-Naghdi equations for flat bottoms with surface tension
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Euler equations for incompressible ideal fluids
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Well-posedness of the water-waves equations
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A proof of validity for multiphase Whitham modulation theory
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Trapped modes and resonances for water waves over a slightly perturbed bottom
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Modulation Equations Near the Eckhaus Boundary: The KdV Equation
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A shallow water approximation for water waves
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On the Mathematical Description of Time-Dependent Surface Water Waves
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A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
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A shallow water approximation for water waves over a moving bottom
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Cauchy Theory for the Water Waves System in an Analytic Framework
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Large-time existence for one-dimensional Green-Naghdi equations with vorticity
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Full Justification for the Extended Green–Naghdi System for an Uneven Bottom with/without Surface Tension
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Full dispersion models in coastal oceanography
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Modelling, justification and mathematical analysis of models in oceanography
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Contribution à la modélisation mathématique et numérique pour des modèles d'écoulement non-linéaires dispersifs en eaux peu profondes
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Dispersive models of ocean waves propagation : numerical issues and modelling
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