Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: A prototype of strong coupling case

2020/08/23 by Yue Ma, Ma, Yue · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2008.10023

openalex publication_date 2020/08/23 · openalex created_date 2020/09/01 · openalex updated_date 2026/07/28

Abstract

In this article we will develop some techniques aimed at the strong couplings in two-dimensional wave-Klein-Gordon system. We distinguish the roles of different type of decay factors and develop a method which permits us to "exchange" one type of decay into the other. Then a global existence result of a model problem is established. We also give a sketch of the Klein-Gordon-Zakharov system and establish the associate global existence result.

Citations

• The null condition for quasilinear wave equations in two space dimensions I
• Normal forms and quadratic nonlinear Klein‐Gordon equations
• Global solution to the wave and Klein-Gordon system under null condition in dimension two

Cited by

• Global Existence for Coupled 3-D Nonlinear Wave and Klein-Gordon Equations with Large Derivatives of Initial Data
• A non-linear damping structure and global stability of wave-Klein-Gordon coupled system in \RR³⁺¹

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