D-cascade: mathematical model and examples of the energy spectrum computation
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
Nonlinear Science Seminar: Effects of Singularities, February 13 -15, 2018, University of Tokyo
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
D-cascade: mathematical model and examples of the energy spectrum computation. I present briefly the mathematical model of dynamical cascade (D-cascade) formed in wave systems with moderate nonlinearity due to modulation instability (which is another name for the Benjamin-Feir instability). I demonstrate how to compute the shape the D-cascade energy spectrum taking as examples various types of water waves. Moderate nonlinearity means e.g. for surface water waves that wave steepness is of the order of 0.1 (cf.: in the wave turbulence theory it is of the order of 0.01).
Sprache der Kurzfassung:
Englisch
Vortragstyp:
Hauptvortrag / Eingeladener Vortrag auf einer Tagung