Elenco seminari del ciclo di seminari
“SISTEMI HAMILTONIANI INTEGRABILI”

Ciclo di seminari del prof. P.G. Grinevich (Landau Institute of Theoretical Physics - Moscow)
Febbraio
04
2015
Petr Grinevich
The scattering transform for vector fields and dispersionless integrable PDE's:the Cauchy problem for the Pavlov equation.
nel ciclo di seminari: SISTEMI HAMILTONIANI INTEGRABILI
analisi matematica
Commutation of multidimensional vector fields leads to integrable nonlinear dispersionless PDEs arising in various problems of mathematical physics and intensively studied in the recent literature. This report is aiming to solve the scattering and inverse scattering problem associated with integrable dispersionless PDEs, recently introduced just at a formal level, concentrating on the prototypical example of the Pavlov equation, and to justify an existence theorem for global bounded solutions of the associated Cauchy problem with small data.
organizzato da: Abenda
Febbraio
02
2015
Petr Grinevich
Regular real solutions of the Kadomtsev-Petviashvili 2 equation..
nel ciclo di seminari: SISTEMI HAMILTONIANI INTEGRABILI
SEMINARIO INTERDISCIPLINARE
We discuss how to select scattering data generating physically relevant (real nonsingular) solutions of the KP-2 in the $\bar\partial$ approach (generating spatially localized solutions) and in the finite-gap approach (generating pariodic solutions). In particular it will be shown, that in the both cases the direct and the inverse scattering transform for the Lax operator are regular without the small norm assumption.
organizzato da: Abenda
nell'ambito del Progetto Image Analysis Through Evolutionary Partial Differential Equations del prof. Fiorella Sgallari