10 citations · 19 across the 6 of their papers we have counts for
6 papers
Rotational flow underlying coupled surface and internal waves. I: Eulerian perspective
David Henry, Rossen I. Ivanov, Zisis N. Sakellaris
In this paper we examine the flow generated by coupled surface and internal small-amplitude water waves in a two-fluid layer model, where we take the upper layer to be rotational (…
Higher-order integrable models for oceanic internal wave-current interactions
David Henry, Rossen I. Ivanov, Zisis N. Sakellaris
In this paper we derive a higher-order KdV equation (HKdV) as a model to describe the unidirectional propagation of waves on an internal interface separating two fluid layers of va…
Near Resonant Approximation of the Rotating Stratified Boussinesq system on a 3-Torus
Bin Cheng, Zisis N. Sakellaris
Based on a novel treatment of near resonances, we introduce a new approximation for the rotating stratified Boussinesq system on three-dimensional tori with arbitrary aspect ratios…
Near Resonance Approximation of Rotating Navier-Stokes Equations
Bin Cheng, Zisis N. Sakellaris
We formalise the concept of near resonance for the rotating Navier-Stokes equations, based on which we propose a novel way to approximate the original PDE. The spatial domain is a…
Curvature stabilized skyrmions with angular momentum
Christof Melcher, Zisis N. Sakellaris
We examine skyrmionic field configurations on a spherical ferromagnet with large normal anisotropy. Exploiting variational concepts of angular momentum we find a new family of loca…
Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces
Christof Melcher, Zisis N. Sakellaris
We establish global existence, uniqueness, regularity and long-time asymptotics of strong solutions to the half-harmonic heat flow and dissipative Landau-Lifshitz equation, valid f…