Elenco seminari del ciclo di seminari
“NONLOCALITY AND SCATTERING TRANSFORM FOR FOR MULTIDIMENSIONAL DISPERSIONLESS SYSTEMS”

Due seminari del prof. P.G. Grinevich (Landau Institute and Moscow State University)
Luglio
27
2016
Petr Grinevich
Scattering transform for multidimensional dispersionless systems. Exact results for the Pavlov equation.
nel ciclo di seminari: NONLOCALITY AND SCATTERING TRANSFORM FOR FOR MULTIDIMENSIONAL DISPERSIONLESS SYSTEMS
SEMINARIO INTERDISCIPLINARE
Multidimensional integrable systems are usually non-local, therefore the solutions of the Cauchy problem depend on a proper choice of intergration constants. The inverse scattering transform usually prescribe a special choice of these constants. We calculate this choice for the model example of the Pavlov equation. The final answer can be explained using a lemma form integral geometry.
organizzato da: Simonetta Abenda nell'ambito RFO 2014 del prof. Parmeggiani
nell'ambito del Progetto R.F.O. 2014 del prof. Alberto Parmeggiani
Luglio
22
2016
Petr Grinevich
Nonlocality and scattering transform for for multidimensional dispersionless systems. Some connections with integral geometry.
nel ciclo di seminari: NONLOCALITY AND SCATTERING TRANSFORM FOR FOR MULTIDIMENSIONAL DISPERSIONLESS SYSTEMS
At the present time the class of dispersionless integrable systems attracts serious attention. Manakov and Santini suggested a modification of the scattering transform for vector fields, which is appropriate for integration of multidimensional dispersionless systems, but it requires seriuos additional work to make it sufficiently strict. We provide first strict results in this area.
organizzato da: Simonetta Abenda nell'ambito RFO 2014 del prof. Parmeggiani