Cover Image

The Kadomtsev-Petviashvili equation in conformal variables for waves over topography

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Andrade, David, Flamarion, Marcelo V.
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Critical lengths for the linear Kadomtsev-Petviashvili II equation
by: Capistrano-Filho, Roberto de A., et al.
Published: (2024)

The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below $L^2$
by: Herr, Sebastian, et al.
Published: (2024)

On the Gevrey regularity of the fifth-order Kadomtsev-Petviashvili-II equation: An improved approach
by: Boukarou, Aissa, et al.
Published: (2025)

Transverse spectral Instabilities in rotation-modified Kadomtsev-Petviashvili equation and related models
by: Bhavna, et al.
Published: (2023)

Direct linearisation of the non-commutative Kadomtsev-Petviashvili equations
by: Blower, Gordon, et al.
Published: (2024)

A plethora of fully localised solitary waves for the full-dispersion Kadomtsev-Petviashvili equation
by: Ehrnström, Mats, et al.
Published: (2025)

Lie symmetry analysis of (2+1)-dimensional time fractional Kadomtsev-Petviashvili equation
by: Yu, Jicheng, et al.
Published: (2024)

Linear systems, determinants and solutions of the Kadomtsev-Petviashvili equation
by: Blower, Gordon, et al.
Published: (2025)

The inverse scattering theory of Kadomtsev-Petviashvili II equations
by: Wu, Derchyi
Published: (2024)

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
by: Alves, Claudianor O., et al.
Published: (2025)

Blow-Up Theory and Liouville-Type Theorem for Solutions of a Class of Generalized Camassa-Holm-Kadomtsev-Petviashvili Equations
by: Ke, Xueli, et al.
Published: (2026)

Asymptotic profile of solutions to the Cauchy problem for the generalized Kadomtsev-Petviashvili equations with anisotropic dissipation in 2D
by: Fukuda, Ikki
Published: (2026)

Stability of Kadomtsev-Petviashvili multi-line solitons
by: Wu, Derchyi
Published: (2022)

Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev--Petviashvili--Burgers equation in 2D
by: Fukuda, Ikki, et al.
Published: (2022)

Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
by: Donmazov, Samir, et al.
Published: (2024)

Uniform boundedness of conformal energy for the 3D nonlinear wave equation
by: Zhao, Jingya
Published: (2025)

Almost sharp global wellposedness and scattering for the defocusing conformal wave equation on the hyperbolic space
by: Ma, Chutian
Published: (2023)

A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography
by: Iguchi, Tatsuo
Published: (2018)

Explicit inversion for variable-speed wave equations on bounded domains
by: Moon, Sunghwan, et al.
Published: (2023)

Fractional diffusion-wave equations with critical nonlinearities in Lebesgue spaces
by: Costa, Masterson, et al.
Published: (2026)

Well-posedness and regularity theory for the fractional diffusion-wave equation in Lebesgue spaces
by: de Andrade, Bruno, et al.
Published: (2025)

Liouville theorems for conformal $Q$-curvature equations
by: Xu, Meiqing, et al.
Published: (2026)

On isolated singularities of the conformal Gaussian curvature equation and $Q$-curvature equation
by: Yang, Hui, et al.
Published: (2025)

Ekman boundary layers in a domain with topography
by: Chemin, Jean-Yves, et al.
Published: (2024)

Wellposedness and asymptotic behavior of solutions for the quintic wave equation with nonlocal dissipation
by: Cavalcanti, Marcelo, et al.
Published: (2026)

Global solutions and blow-up for the wave equation with variable coefficients: II. boundary supercritical source
by: Ha, Tae Gab
Published: (2023)

On Strichartz estimates and optimal blowup stability of supercritical wave equations
by: Wallauch, David
Published: (2024)

Sharp bounds on the attractor dimensions for damped wave equations
by: Ilyin, A. A., et al.
Published: (2024)

Finite time blow-up and global solutions for the viscoelastic wave equation with combined power-type nonlinearities
by: Lin, Haiyang, et al.
Published: (2025)

Doubling variables and uniqueness of probability solutions to degenerate stationary Kolmogorov equations
by: Bogachev, V. I., et al.
Published: (2025)

The Euler equations with variable coefficients
by: Ingimarson, Benjamin, et al.
Published: (2025)

Rigidity for the heat equation with density on Riemannian manifolds through a conformal change
by: Grigor'yan, Alexander, et al.
Published: (2025)

On the wave equation with variable exponent nonlinearity and distributive delay
by: Kafini, Mohammad
Published: (2024)

A Hybridizable Discontinuous Galerkin Method for the non--local Camassa--Holm--Kadomtsev--Petviashvili equation
by: Dwivedi, Mukul, et al.
Published: (2026)

Long time existence for a Boussinesq-like system with strong topography variation
by: Lu, Qi, et al.
Published: (2025)

On an inverse dynamic problem for the wave equation with a potential on a real line
by: Mikhaylov, A. S., et al.
Published: (2025)

Boundedness and decay for the conformal wave equation in Schwarzschild-AdS under dissipative boundary conditions
by: Tullini, Alex
Published: (2026)

On the wave turbulence theory: ergodicity for the elastic beam wave equation
by: Rumpf, Benno, et al.
Published: (2021)

On Morawetz estimates for the elastic wave equation
by: Kim, Seongyeon, et al.
Published: (2025)

Weak stability of the sum of two solitary waves for Half-wave equation
by: Li, Yuan
Published: (2024)