4 papers · 1 filter
Small-Amplitude Solitary Waves for -Plane Capillary-Gravity Flows with Arbitrary Vorticity
Daniel Sinambela
We study small-amplitude solitary waves for two-dimensional capillary--gravity flows with arbitrary vorticity on the equatorial -plane. The steady free-boundary problem is formu…
Asymptotic stability of the three-dimensional Couette flow for the Stokes-transport equation
Daniel Sinambela, Weiren Zhao, Ruizhao Zi
In this paper, we investigate the asymptotic stability of the three-dimensional Couette flow in a stratified fluid governed by the Stokes-transport equation. We observe that a simi…
Asymptotic Stability of the two-dimensional Couette flow for the Stokes-transport equation in a finite channel
Daniel Sinambela, Weiren Zhao, Ruizhao Zi
We study the Stokes-transport system in a two-dimensional channel with horizontally moving boundaries, which serves as a reduced model for oceanography and sedimentation. The densi…
Large-amplitude solitary waves in two-layer density stratified water
Daniel Sinambela
We present a large-amplitude existence theory for two-dimensional solitary waves propagating through a two layer body of water. The domain of the fluid is bounded below by an imper…