Work

Mathematical analysis for systems of nonlinear dispersive equations

Year: 2024

Type: dissertation

Abstract: 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.

Source: Electronic Theses and Dissertations Repository (University of Pisa)

Author: TOMIOKA, KENTA

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W6983399132

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