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20122022
most citedGlobal solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: weak coupling case

14 citations · 26 across the 7 of their papers we have counts for

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math.AP20221 cited

Global Behavior of Small Data Solutions for The 2D Dirac-Klein-Gordon Equations

Shijie Dong, Kuijie Li, Yue Ma +1

In this paper, we are interested in the two-dimensional Dirac-Klein-Gordon system, which is a basic model in particle physics. We investigate the global behaviors of small data sol…

math.AP20221 cited

Nonlinear stability of the totally geodesic wave maps in non-isotropic manifolds

Senhao Duan, Yue Ma, Weidong Zhang

In this article we investigate a type of totally geodesic map which has its image being a geodesic in an anisotropic Riemannian manifold. We consider its nonlinear stability among…

math.AP20221 cited

Asymptotic behavior of 2D Wave-Klein-Gordon coupled system under null condition

Shijie Dong, Yue Ma, Xu Yuan

We study the 2D coupled wave-Klein-Gordon systems with semi-linear null nonlinearities and . The main result states that the solution to the 2D coupled systems exists…

math.AP2021

Global Existence and Scattering of the Klein-Gordon-Zakharov System in Two Space Dimensions

Shijie Dong, Yue Ma

We are interested in the Klein-Gordon-Zakharov system in , which is an important model in plasma physics with extensive mathematical studies. The system can be re…

math.AP2020

Global solutions of wave-Klein-Gordon system in two spatial dimensions with strong couplings in divergence form

Senhao Duan, Yue Ma

In this paper we established the global well-posedness theorem for a special type of wave-Klein-Gordon system that have the strong coupling terms in divergence form on the right ha…

math.AP2020

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

Yue Ma

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 facto…