A Morawetz inequality for water waves
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Publication:5863938
zbMath1497.35071arXiv1806.08443MaRDI QIDQ5863938
Mihaela Ifrim, Daniel Tataru, Thomas Alazard
Publication date: 3 June 2022
Full work available at URL: https://arxiv.org/abs/1806.08443
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) A priori estimates in context of PDEs (35B45)
Related Items (3)
No Pure Capillary Solitary Waves Exist in 2D Finite Depth ⋮ On the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid ⋮ Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models
Cites Work
- Unnamed Item
- Finite time singularities for the free boundary incompressible Euler equations
- Sharp Morawetz estimates
- On the finite-time splash and splat singularities for the 3-D free-surface Euler equations
- A rigorous justification of the modulation approximation to the 2D full water wave problem
- On the Cauchy problem for gravity water waves
- Two dimensional water waves in holomorphic coordinates
- On the 3-dimensional water waves system above a flat bottom
- Global wellposedness of the 3-D full water wave problem
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- Para-differential calculus and applications to the Cauchy problem for nonlinear systems
- Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
- Almost global wellposedness of the 2-D full water wave problem
- Lectures on nonlinear hyperbolic differential equations
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Finite depth gravity water waves in holomorphic coordinates
- Boundary observability of gravity water waves
- Stabilization of gravity water waves
- Global solutions for the gravity water waves system in 2d
- Low regularity solutions for gravity water waves
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Global solutions and asymptotic behavior for two dimensional gravity water waves
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- On integrals and invariants for inviscid, irrotational flow under gravity
- Fourier Analysis and Nonlinear Partial Differential Equations
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- Sobolev estimates for two dimensional gravity water waves
- Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains
- Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves
- Impulse, Flow Force and Variational Principles
- Paracomposition et operateurs paradifferentiels
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- Local Smoothing Properties of Dispersive Equations
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Well-posedness of the water-waves equations
- Hamiltonian structure, symmetries and conservation laws for water waves
- Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- Time decay for the nonlinear Klein-Gordon equation
- Two dimensional water waves in holomorphic coordinates II: global solutions
- Global solutions for the gravity water waves equation in dimension 3
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