*Avviso Seminari di Matematica*
Mercoledì 3 novembre 2021
ore 11:30
(Aula Volterra)
Scuola Normale Superiore
Pisa
*Massimiliano Berti* (SISSA-Trieste)
terrà un seminario dal titolo:
*"Benjamin-Feir instability of Stokes waves in deep water"*
*abstract:*
Small-amplitude, traveling, space periodic solutions -- called Stokes waves -- of the 2 dimensional gravity water waves equations in deep water are linearly unstable with respect to long-wave perturbations, as predicted by Benjamin and Feir in 1967. We completely describe the behavior of the four eigenvalues close to zero of the linearized equations at the Stokes wave, as the Floquet exponent is turned on. We prove in particular the conjecture that a pair of non-purely imaginary eigenvalues depicts a closed figure eight, parameterized by the Floquet exponent, in full agreement with numerical simulations. Joint wotk with A. Maspero and P. Ventura.
il seminario si terrà in modalità mista. Tutti gli interessati a partecipare in presenza devono contattare per email il prof. Andrea Malchiodi (andrea.malchiodi@sns.it). Per collegarsi da remoto il link : https://teams.microsoft.com/l/meetup-join/19%3aU6a57NlVFWbcy9kcfM4uzZIySQNcU...
Classe di Scienze
Valeria Giuliani Scuola Normale Superiore Servizio Attività Didattiche tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it