On the nonlinear Dysthe equation
DOI10.1016/j.na.2021.112292zbMath1464.35224arXiv2006.13392OpenAlexW3129524681MaRDI QIDQ2019311
Gigliola Staffilani, Kristin M. Kurianski, Ricardo Grande
Publication date: 20 April 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.13392
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Maximum principles in context of PDEs (35B50) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
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- Smoothing estimates for non-dispersive equations
- A note on the Cauchy problem for the 2D generalized Zakharov-Kuznetsov equations
- Estimates for a class of oscillatory integrals and decay rates for wave-type equations
- Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces
- Small solutions to nonlinear Schrödinger equations
- \(L^p-L^q\) estimates for dispersive equations and related applications
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- Reduced-order prediction of rogue waves in two-dimensional deep-water waves
- Maximal function estimates with applications to a modified Kadomtsev-Petviashvili equation
- The analysis of linear partial differential operators. II: Differential operators with constant coefficients
- Invariant estimates of two-dimensional oscillatory integrals
- Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications
- Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\)
- Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\)
- Deep-water waves: on the nonlinear Schrödinger equation and its solutions
- Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\)
- Reduced-order precursors of rare events in unidirectional nonlinear water waves
- On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
- Well-Posedness for the Two-Dimensional Modified Zakharov–Kuznetsov Equation
- Local Smoothing and Local Solvability for Third Order Dispersive Equations
- Commutator estimates and the euler and navier-stokes equations
- Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
- Endpoint Strichartz estimates
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Dispersion Estimates for Third Order Equations in Two Dimensions
- Dispersive estimates for principally normal pseudodifferential operators
- Rogue waves and large deviations in deep sea
- Maximal Function Estimates and Local Well-Posedness for the Generalized Zakharov--Kuznetsov Equation
- A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces
- Oceanic Rogue Waves
- Global Results for Schrödinger Maps in Dimensionsn ≥ 3
