Enhanced Existence Time of Solutions to the Fractional Korteweg--de Vries Equation
From MaRDI portal
Publication:5231341
DOI10.1137/19M1237867zbMath1419.76063arXiv1804.06297OpenAlexW2796534989WikidataQ127350732 ScholiaQ127350732MaRDI QIDQ5231341
Publication date: 26 August 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06297
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fourier integral operators applied to PDEs (35S30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items
Enhanced existence time of solutions to evolution equations of Whitham type, The Wave Breaking for Whitham-Type Equations Revisited, One-sided Hölder regularity of global weak solutions of negative order dispersive equations, Asymptotic \(N\)-soliton-like solutions of the fractional Korteweg-de Vries equation, Highest cusped waves for the Burgers-Hilbert equation, Stability of traveling waves for the Burgers-Hilbert equation, Well-posedness of fractional Moreau's sweeping processes of Caputo type, Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity, Well-posedness to the Cauchy problem of a fully dispersive Boussinesq system, Periodic Hölder waves in a class of negative-order dispersive equations, On the modified fractional Korteweg–de Vries and related equations
Cites Work
- Unnamed Item
- Mapping properties of normal forms transformations for water waves
- Global existence of small-norm solutions in the reduced Ostrovsky equation
- Two dimensional water waves in holomorphic coordinates
- Blow up and regularity for fractal Burgers equation
- Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)
- Sur quelques généralisations de l'équation de Korteweg-de Vries
- On well-posedness for some dispersive perturbations of Burgers' equation
- Finite depth gravity water waves in holomorphic coordinates
- The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited
- KdV is well-posed in \(H^{-1}\)
- A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation
- The lifespan of small data solutions in two dimensional capillary water waves
- The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces
- Normal Form Transformations for Capillary-Gravity Water Waves
- Global Analysis of a Model for Capillary Water Waves in Two Dimensions
- Enhanced Life Span of Smooth Solutions of a Burgers--Hilbert Equation
- Global Existence of Weak Solutions for the Burgers--Hilbert Equation
- Wave breaking for the Whitham equation with fractional dispersion
- Singularity formations for a surface wave model
- A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations
- Nonlinear Hamiltonian waves with constant frequency and surface waves on vorticity discontinuities
- Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
- Sobolev estimates for two dimensional gravity water waves
- Normal forms and quadratic nonlinear Klein-Gordon equations
- Long time solutions for a Burgers-Hilbert equation via a modified energy method
- Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory
- Global solutions for the gravity water waves equation in dimension 3
