13 citations · 16 across the 7 of their papers we have counts for
7 papers
Dissipation-driven champion solitons in one-dimensional shallow-water waves
Ashleigh Simonis, Sergey Nazarenko, Jalal Shatah +1
In this paper, we identify a new mechanism for rogue wave formation in a shallow-water setting. We study a bidirectional shallow-water wave field in the context of the Kaup-Boussin…
Local-in-Time Existence of solutions to the Gravity Water Wave Kinetic Equation
Yulin Pan, Xiaoxu Wu
In this paper, we study the Cauchy problem for the four-wave kinetic equation describing the weak turbulence of gravity water waves. The mathematical challenges of this analysis st…
CFD-based design optimization of a 5 kW ducted hydrokinetic turbine with practical constraints
Jeongbin Park, Marco Mangano, Sabet Seraj +8
Ducted hydrokinetic turbines enhance energy-harvesting efficiency by better conditioning the flow to the blades, which may yield higher power output than conventional freestream tu…
Transition from weak turbulence to collapse turbulence regimes in MMT model
Ashleigh Simonis, Yulin Pan
It is well known that wave collapses can emerge from the focusing one-dimensional (1-D) Majda-McLaughlin-Tabak (MMT) model as a result of modulational instability. However, how the…
Verification of Wave Turbulence Theory in the Kinetic Limit
Alexander Hrabski, Yulin Pan
Using the 1D Majda-McLaughlin-Tabak model as an example, we develop numerical experiments to study the validity of the Wave Kinetic Equation (WKE) at the kinetic limit (i.e., small…
Nonlocal gravity wave turbulence in presence of condensate
A. O. Korotkevich, S. V. Nazarenko, Y. Pan +1
We develop a theory of turbulence of weak random gravity waves on surface of deep water in which the main nonlinear process at high-frequency part of the spectrum is a nonlocal int…
Energy transfer for solutions to the nonlinear Schrödinger equation on irrational tori
Alexander Hrabski, Yulin Pan, Gigliola Staffilani +1
We analyze the energy transfer for solutions to the defocusing cubic nonlinear Schrödinger (NLS) initial value problem on 2D irrational tori. Moreover we complement the analytic st…