Gevrey regularity for a class of water-wave models
From MaRDI portal
Publication:1026077
DOI10.1016/j.na.2008.11.047zbMath1173.35657OpenAlexW1984577575MaRDI QIDQ1026077
Publication date: 24 June 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.11.047
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Well-posedness and regularity of the generalized Burgers equation in periodic Gevrey spaces ⋮ KINK-BRIGHT SOLITARY WAVE SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION ⋮ Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid ⋮ On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation ⋮ Evolution of the radius of analyticity for the generalized Benjamin equation ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Well-posedness for a coupled system of Kawahara/KdV type equations ⋮ Generalized Euclidean Bosonic String Equations ⋮ Well-posedness for a coupled system of Kawahara/KdV type equations with polynomials nonlinearities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential convergence of a spectral projection of the KdV equation
- Lax pairs and higher order models for water waves
- Solutions of the (generalized) Korteweg-de Vries equation in the Bergman and the Szegö spaces on a sector
- Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- Nonlinear evolution equations and analyticity. I
- Gain of regularity for equations of KdV type
- 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
- On the Cauchy problem for the Zakharov system
- Hamiltonian long-wave approximations to the water-wave problem
- Strichartz estimates for dispersive equations and solvability of the Kawahara equation
- Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
- Local existence in time of solutions to higher-order nonlinear dispersive equations
- Global existence of solutions for the Cauchy problem of the Kawahara equation with \(L^2\) initial data
- Local and global existence of solutions to initial value problems of modified nonlinear Kawahara equations
- Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- SPATIAL ANALYTICITY PROPERTIES OF NONLINEAR WAVES
- On the rate of convergence of a collocation projection of the KdV equation
- Weakly nonlinear non-symmetric gravity waves on water of finite depth
- Local Smoothing Properties of Dispersive Equations
- Analyticity of Solutions of the Korteweg–De Vries Equation
- A General Theory for Interactions Between Short and Long Waves
- Higher-Order Nonlinear Dispersive Equations
- Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations
- Solitary-Wave Solutions of the Benjamin Equation
- Solitary and periodic waves of a new kind
