Smooth small solutions to gravity water waves with constant vorticity show arbitrary growth in high Sobolev norms, proving energy transfer to high frequencies and weak turbulence while the flow remains smooth.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.AP 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Multiple distinct 3D Stokes waves bifurcate from non-resonant 2D ones via equivariant critical point theory on a symmetry-invariant space.
Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.
citing papers explorer
-
Transfer of energy for pure-gravity water waves with constant vorticity
Smooth small solutions to gravity water waves with constant vorticity show arbitrary growth in high Sobolev norms, proving energy transfer to high frequencies and weak turbulence while the flow remains smooth.
-
Equivariant critical point theory and bifurcation of $3d$ gravity-capillary Stokes waves
Multiple distinct 3D Stokes waves bifurcate from non-resonant 2D ones via equivariant critical point theory on a symmetry-invariant space.
-
Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.