83 citations · 144 across the 20 of their papers we have counts for
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Generically sharp decay for quasilinear wave equations with null condition
Shijie Dong, Siyuan Ma, Yue Ma +1
We are interested in the three-dimensional quasilinear wave equations with null condition. Global existence and pointwise decay for this model have been proved in the celebrated wo…
Nonlinear stability of self-gravitating massive fields. A wave-Klein-Gordon model
Philippe G. LeFloch, Yue Ma
Significant advances were made in recent years on the global evolution problem for self-gravitating massive matter in the small-perturbative regime close to Minkowski spacetime. To…
Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime
Philippe G. LeFloch, Yue Ma
We study the initial value problem for the Einstein-Klein-Gordon system and establish the global nonlinear stability of massive matter in the near-Minkowski regime when the initial…
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…
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…
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…