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Well-posedness in Sobolev spaces of the full water wave problem in 2-D

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

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

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On well-posedness of the Muskat problem with surface tension
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Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle
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Well-posedness for the free boundary hard phase model in general relativity
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Local well-posedness of the incompressible current-vortex sheet problems
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Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
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On the three-dimensional Euler equations with a free boundary subject to surface tension
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A sharp Cauchy theory for the 2D gravity-capillary waves
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Local smoothing effects for the water-wave problem with surface tension
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Global solutions for the gravity water waves equation in dimension 3
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On the Korteweg–de Vries approximation for uneven bottoms
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Water wave propagation in unbounded domains. Part I: Nonreflecting boundaries
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Water wave propagation in unbounded domains. Part II: Numerical methods for fractional PDEs
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Existence and uniqueness of analytic solution for Rayleigh–Taylor problem
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On the free boundary problem to the two viscous immiscible fluids
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Well-posedness of 1-D compressible Euler–Poisson equations with physical vacuum
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Spreading of the free boundary of an ideal fluid in a vacuum
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Strichartz estimates and local existence for the gravity–capillary waves with non-Lipschitz initial velocity
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A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics
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Interaction of modulated gravity water waves of finite depth
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Well-posedness of two-dimensional hydroelastic waves with mass
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Well-posedness of the free boundary problem in compressible elastodynamics
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p-Euler equations and p-Navier–Stokes equations
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Well-posedness and analyticity of solutions to a water wave problem with viscosity
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A remark on the two dimensional water wave problem with surface tension
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Global well-posedness of the free-surface incompressible Euler equations with damping
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Well-posedness of axisymmetric nonlinear surface waves on a ferrofluid jet
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Well-posedness of the free boundary problem in incompressible elastodynamics
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Rigidity of singularities of 2D gravity water waves
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The zero surface tension limit of three-dimensional interfacial Darcy flow
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Local well-posedness of the free-surface incompressible elastodynamics
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Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids
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Existence of local strong solutions for the incompressible viscous and non-resistive MHD-structure interaction model
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Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations
inferred← citeshttps://doi.org/10.1016/j.jde.2022.06.001openalex-snapshot
Local well-posedness for the motion of a compressible gravity water wave with vorticity
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Global well-posedness of a new class of initial-boundary value problem on incompressible MHD/MHD-Boussinesq equations
inferred← citeshttps://doi.org/10.1016/j.jde.2023.11.004openalex-snapshot
Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD
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Construction of the free-boundary 3D incompressible Euler flow under limited regularity
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Long time well-posedness and full justification of a Whitham-Green-Naghdi system
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On the splash singularity for the free-boundary problem of the viscous and non-resistive incompressible magnetohydrodynamic equations in 3D
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Asymptotics of two-dimensional hydroelastic waves: The zero mass, zero bending limit
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On the 2D plasma-vacuum interface problems for ideal incompressible MHD
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A priori energy estimate with decay in weighted norms for the water-waves problem with contact points
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On the regularity of the flow map for the gravity-capillary equations
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Nonlinear fractional Schrödinger equations in one dimension
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Toolbox of para-differential calculus on compact Lie groups
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Discrete point spectrum of linear stability operator for Saffman–Taylor bubbles with nonzero surface tension
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Well-posedness of the free boundary problem in incompressible elastodynamics under the mixed type stability condition
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A priori estimates of the electrohydrodynamic waves with vorticity: Vertical electric field
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A regularity result for the incompressible inviscid magnetohydrodynamics equations in the Arbitrary Lagrangian-Eulerian coordinates
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Towards a rigorous derivation of the fifth order KP equation
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Well-posedness of the water-wave problem with surface tension
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