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UID:20260602T212044EDT-1721iP6kIG@132.216.98.100
DTSTAMP:20260603T012044Z
DESCRIPTION:Title : A Hamiltonian approach to nonlinear modulation of surfa
 ce water waves in the presence of linear shear currents.\n\nThis is a stud
 y of the water wave problem in a two-dimensional domain in the presence of
  constant vorticity. The goal is to describe the effects of uniform shear 
 flow on the modulation of weakly nonlinear quasi-monochromatic surface wav
 es. Starting from the Hamiltonian formulation of this problem and using te
 chniques of Hamiltonian transformation theory\, we derive a Hamiltonian\, 
 high-order Nonlinear Schrödinger equation (often referred to as Dysthe equ
 ation) for the time evolution\n\nof the wave envelope. Consistent with pre
 vious studies\, we observe that the uniform shear flow tends to enhance or
  weaken the modulational instability of Stokes waves depending on its dire
 ction and strength. This model is tested against direct numerical simulati
 ons of the full Euler equations and against a related Dysthe equation rece
 ntly derived by Curtis\, Carter and Kalisch \n\nZoom link seminarshttps://
 ulaval.zoom.us/j/61050270680?pwd=Y29QeWJGNWZ1cUQxK1pNUGdqQWFnQT09\n
DTSTART:20221027T183000Z
DTEND:20221027T193000Z
SUMMARY:Catherine Sulem (University of Toronto) 
URL:/mathstat/channels/event/catherine-sulem-universit
 y-toronto-342997
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