Cover Image

Two-dimensional solitary water waves with constant vorticity, Part II: the deep capillary case

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Rowan, James, Wan, Lizhe
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 76B15, 35Q35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the capillary water waves with constant vorticity
by: Wan, Lizhe
Published: (2024)

Low regularity well-posedness for two-dimensional deep gravity water waves with constant vorticity
by: Wan, Lizhe
Published: (2023)

On the gravity-capillary water waves with point vortices
by: Wan, Lizhe
Published: (2025)

Low regularity well-posedness for two-dimensional deep water waves
by: Wan, Lizhe
Published: (2024)

Nonlinear modulational instability of two-dimensional deep hydroelastic Stokes waves
by: Wan, Lizhe, et al.
Published: (2026)

Existence of pure capillary solitary waves in constant vorticity flows
by: Hsiao, Ting-Yang, et al.
Published: (2026)

Gravity water waves over constant vorticity flows: From laminar flows to touching waves
by: Gonçalves, Francisco
Published: (2025)

Overhanging solitary water waves
by: Dávila, Juan, et al.
Published: (2024)

Periodically modulated solitary waves of the CH-KP-I equation
by: Nilsson, Dag, et al.
Published: (2024)

An existence theory for solitary waves on a ferrofluid jet
by: Groves, Mark D., et al.
Published: (2025)

Small scale creation in 2D gravity-capillary water waves with vorticity
by: Tu, Yuanpeng
Published: (2026)

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

Rigidity of symmetric doubly-periodic water waves near shear flows
by: Seth, Douglas Svensson, et al.
Published: (2025)

Stability of solitary waves for generalized $abcd$-Boussinesq system: The Hamiltonian case
by: Filho, Roberto de A. Capistrano, et al.
Published: (2023)

Consistency analysis for combined homogenization and shallow water limit of water waves
by: Gloria, Antoine, et al.
Published: (2026)

Existence and stability of Sadovskii vortices: from patch to smooth vortices
by: Abe, Ken, et al.
Published: (2025)

Scattering for the Quartic Generalized Benjamin-Bona-Mahony Equation
by: Morgan, A. George
Published: (2024)

Well-posedness issues for the generalized Benjamin--Bona--Mahony equation
by: Kim, Seunghyun, et al.
Published: (2026)

Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
by: Ifrim, Mihaela, et al.
Published: (2026)

Instability of two-dimensional Taylor-Green Vortices
by: Cao-Labora, Gonzalo, et al.
Published: (2026)

Spectral structure of the Benjamin-Feir instability in deep-water gravity-capillary Stokes waves
by: Hsiao, Ting-Yang, et al.
Published: (2026)

Long-time stability of a stably stratified rest state in the inviscid 2D Boussinesq equation
by: Jurja, Catalina, et al.
Published: (2024)

On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation
by: Hong, Christian, et al.
Published: (2023)

The effect of linear stratification on the stability of a rest state in the 2D inviscid Boussinesq system
by: Jurja, Catalina, et al.
Published: (2025)

Asymptotics of two-dimensional hydroelastic waves: The zero mass, zero bending limit
by: Liu, Shunlian, et al.
Published: (2024)

Global regularity of some axisymmetric, single-signed vorticity in any dimension
by: Lim, Deokwoo
Published: (2023)

Support growth of vorticity for bi-rotational Euler flows in high dimensions
by: Jeong, In-Jee, et al.
Published: (2025)

The free boundary of steady axisymmetric inviscid flow with vorticity II: near the non-degenerate points
by: Du, Lili, et al.
Published: (2023)

Proof of the Stokes conjecture for compressible gravity water waves
by: Du, Lili, et al.
Published: (2024)

Remarks on solitary waves in equations with nonlocal cubic terms
by: Marstrander, Johanna Ulvedal
Published: (2024)

On the exchange of stability for the subcritical laminar flow
by: Kozlov, Vladimir, et al.
Published: (2025)

Time-periodic non-radial solutions near monotone vortices in linearized 2D Euler
by: Castro, Ángel, et al.
Published: (2025)

The 3D Euler equations with inflow, outflow and vorticity boundary conditions
by: Gie, Gung-Min, et al.
Published: (2022)

On the singular nature of shallow-water convergence of the intermediate long wave equation on the real line
by: Chapouto, Andreia, et al.
Published: (2026)

Wave-Current-Bathymetry Interaction Revisited: Modeling, Analysis and Asymptotics
by: Kirkeby, Adrian, et al.
Published: (2026)

Asymmetric travelling wave solutions of the capillary-gravity Whitham Equation
by: Mæhlen, Ola, et al.
Published: (2023)

Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves
by: Feola, Roberto, et al.
Published: (2025)

Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations
by: Otsetova, Anna-Mariya, et al.
Published: (2024)

Global well-posedness and stability of three-dimensional isothermal Euler equations with damping
by: Huang, Feimin, et al.
Published: (2025)

Quasi-resonant normal form and quadratic lifespan for 3D gravity-capillary water waves
by: Feola, Roberto, et al.
Published: (2026)