3 papers
math.AP2025
Rigidity of symmetric doubly-periodic water waves near shear flows
Douglas Svensson Seth, Kristoffer Varholm, Erik Wahlén +1
We prove that symmetric, doubly periodic, capillary-gravity water waves in finite depth bifurcating from non-uniform non-stagnant shear flows are necessarily two-dimensional to lea…
math.AP2024
Periodically modulated solitary waves of the CH-KP-I equation
Dag Nilsson, Douglas Svensson Seth, Yuexun Wang
We consider the CH-KP-I equation. For this equation we prove the existence of steady solutions, which are solitary in one horizontal direction and periodic in the other. We show th…
math.AP2024
On small-amplitude asymmetric water waves
Douglas Svensson Seth
We generalize the method used by Mæhlen & Seth [17] used to prove the existence of small-amplitude asymmetric solutions to the capillary-gravity Whiham equation, so that it can be…