40 citations · 72 across the 8 of their papers we have counts for
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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.…
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…
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…
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…
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…
Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves
Boris Buffoni, Mark D. Groves, Shu-Ming Sun +1
In this paper we show that the hydrodynamic problem for three-dimensional water waves with strong surface-tension effects admits a fully localised solitary wave which decays to the…