A toy model for damped water waves

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Flow control and optimization for incompressible inviscid fluids (76B75)

Cites Work

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Water wave propagation in unbounded domains. part I: nonreflecting boundaries
The Cauchy problem on large time for the water waves equations with large topography variations
Two dimensional water waves in holomorphic coordinates
On the water-wave equations with surface tension
Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions
Numerical simulation of gravity waves
Para-differential calculus and applications to the Cauchy problem for nonlinear systems
Sur les ondes de surface de l'eau avec une justification mathématique des équations des ondes en eau peu profonde
Approximation of radiation boundary conditions
Pseudodifferential operators and nonlinear PDE
The Cauchy problem for quasi-linear symmetric hyperbolic systems
Well-posedness in Sobolev spaces of the full water wave problem in 2D
Stabilization of the water-wave equations with surface tension
Almost global solutions of capillary-gravity water waves equations on the circle
Well-posedness and analyticity of solutions to a water wave problem with viscosity
Boundary observability of gravity water waves
Control of water waves
Stabilization of gravity water waves
An efficient model for three-dimensional surface wave simulations. II: Generation and absorption
Coupling of two absorbing boundary conditions for 2D time-domain simulations of free surface gravity waves
Control of three dimensional water waves
The lifespan of small data solutions in two dimensional capillary water waves
Large time existence for 3D water waves and asymptotics
Low Mach number limit of the full Navier-Stokes equations
Nonstationary flows of viscous and ideal fluids in \(R^3\)
Global well-posedness of the free-surface incompressible Euler equations with damping
Global solutions and asymptotic behavior for two dimensional gravity water waves
Hadamard well-posedness of the gravity water waves system
Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
Fourier Analysis and Nonlinear Partial Differential Equations
Well-posedness of the free-surface incompressible Euler equations with or without surface tension
Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves
Paracomposition et operateurs paradifferentiels
Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
On the Cauchy problem for a capillary drop. Part I: irrotational motion
Well-posedness of the water-waves equations
Commutator estimates
Global Existence for Capillary Water Waves

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