Tesi etd-11162024-121054 |
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Tipo di tesi
Tesi di dottorato di ricerca
Autore
TOMIOKA, KENTA
URN
etd-11162024-121054
Titolo
Mathematical analysis for systems of nonlinear dispersive equations
Settore scientifico disciplinare
MAT/05 - ANALISI MATEMATICA
Corso di studi
MATEMATICA
Relatori
tutor Prof. Ozawa, Tohru
relatore Prof. Gueorguiev, Vladimir Simeonov
relatore Prof. Gueorguiev, Vladimir Simeonov
Parole chiave
- dispersive equations
- nonlinear analysis
- system
Data inizio appello
20/11/2024
Consultabilità
Completa
Riassunto
We study systems of the nonlinear dispersive equations in a general domain.
For example, we focus on the Zakharov system, the Schrödinger-improved Boussinesq system and the Klein-Gordon-Schrödinger system.
We prove the existence and uniqueness of solutions of the above systems by using the energy and the modified energy method.
Moreover, we show the vanishing limit for the Schrödinger-improved Boussinesq system.
For example, we focus on the Zakharov system, the Schrödinger-improved Boussinesq system and the Klein-Gordon-Schrödinger system.
We prove the existence and uniqueness of solutions of the above systems by using the energy and the modified energy method.
Moreover, we show the vanishing limit for the Schrödinger-improved Boussinesq system.
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