activity
20042025
most citedExistence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves

40 citations · 72 across the 8 of their papers we have counts for

collaborators

11 papers

math.AP2025

Steady three-dimensional rotational flows: existence via Kato's approach to locally coercive problems

Boris Buffoni, Eric Séré

Stationary flows of an inviscid and incompressible fluid of constant density in the region , periodic in the second and third variables, are considered.…

math.AP2021

Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls

Boris Buffoni, Mariana Haragus, Gérard Iooss

Using a variational method, we prove the existence of heteroclinic solutions for a 6dimensional system of ordinary differential equations. We derive this system from the classical…

math.AP2021★ 6 cited

Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth

Boris Buffoni, Mark D. Groves, Erik Wahlén

Fully localised solitary waves are travelling-wave solutions of the three-dimensional gravity-capillary water wave problem which decay to zero in every horizontal spatial direction…

math.AP2017★ 11 cited

Steady three-dimensional rotational flows: an approach via two stream functions and Nash-Moser iteration

Boris Buffoni, Erik Wahlén

We consider the stationary flow of an inviscid and incompressible fluid of constant density in the region . We are concerned with flows that are period…

math-ph2016

Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential

Boris Buffoni, Hartmut Schwetlick, Johannes Zimmer

The Frenkel-Kontorova model for dislocation dynamics from 1938 is given by a chain of atoms, where neighbouring atoms interact through a linear spring and are exposed to a smooth p…

math.AP2016★ 15 cited

A variational reduction and the existence of a fully-localised solitary wave for the three-dimensional water-wave problem with weak surface tension

Boris Buffoni, Mark D. Groves, Erik Wahlén

Fully localised solitary waves are travelling-wave solutions of the three-dimensional gravity-capillary water wave problem which decay to zero in every horizontal spatial direction…