45 citations · 118 across the 23 of their papers we have counts for
23 papers
Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes
He Mei, Dongyi Wei, Shiwu Yang
In this paper, we study the long time dynamics of solutions to the defocusing semilinear wave equation on the Schwarzschild black hole spacetimes. For $\frac{1…
The Maxwell-Klein-Gordon equation with scattering data
Wei Dai, He Mei, Dongyi Wei +1
It has been shown in [Yang-Yu 2019] that general large solutions to the Cauchy problem for the Maxwell-Klein-Gordon system (MKG) in the Minkowski space decay lik…
On the global dynamics of Yang-Mills-Higgs equations
Dongyi Wei, Shiwu Yang, Pin Yu
We study solutions to the Yang-Mills-Higgs equations on the maximal Cauchy development of the data given on a ball of radius in . The energy of the data could be…
On the defocusing semilinear wave equations in three space dimension with small power
Dongyi Wei, Shiwu Yang
By introducing new weighted vector fields as multipliers, we derive quantitative pointwise estimates for solutions of defocusing semilinear wave equation in with…
On the 3D Relativistic Vlasov-Maxwell System with large Maxwell field
Dongyi Wei, Shiwu Yang
This paper is devoted to the study of relativistic Vlasov-Maxwell system in three space dimension. For a class of large initial data, we prove the global existence of classical sol…
Asymptotic decay for defocusing semilinear wave equations in
Dongyi Wei, Shiwu Yang
This paper is devoted to the study of asymptotic behaviors of solutions to the one-dimensional defocusing semilinear wave equation. We prove that finite energy solution tends to ze…
On the global behaviors for defocusing semilinear wave equations in
Dongyi Wei, Shiwu Yang
In this paper, we study the asymptotic decay properties for defocusing semilinear wave equations in with pure power nonlinearity. By applying new vector fields t…
Uniform bound for solutions of semilinear wave equations in
Shiwu Yang
We prove that solution of defocusing semilinear wave equation in with pure power nonlinearity is uniformly bounded for all with sufficientl…
Pointwise decay for semilinear wave equations in
Shiwu Yang
In this paper, we use Dafermos-Rodnianski's new vector field method to study the asymptotic pointwise decay properties for solutions of energy subcritical defocusing semilinear wav…
Global behaviors of defocusing semilinear wave equations
Shiwu Yang
In this paper, we investigate the global behaviors of solutions to defocusing semilinear wave equations in with . We prove that in the energy space the…
Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field
Allen Fang, Qian Wang, Shiwu Yang
We derive the global dynamic properties of the mMKG system (Maxwell coupled with a massive Klein-Gordon scalar field) with a general, unrestrictive class of data, in particular, fo…
On global dynamics of the Maxwell-Klein-Gordon equations
Shiwu Yang, Pin Yu
On the three dimensional Euclidean space, for data with finite energy, it is well-known that the Maxwell-Klein-Gordon equations admit global solutions. However, the asymptotic beha…
Global solution for massive Maxwell-Klein-Gordon equations
Sergiu Klainerman, Qian Wang, Shiwu Yang
We derive the asymptotic properties of the mMKG system (Maxwell coupled with a massive Klein-Gordon scalar field), in the exterior of the domain of influence of a compact set. This…
On one-dimension semi-linear wave equations with null conditions
Garving K. Luli, Shiwu Yang, Pin Yu
It is well-known that in dimensions at least three semilinear wave equations with null conditions admit global solutions for small initial data. It is also known that in dimension…
Dynamical black holes with prescribed masses in spherical symmetry
Jonathan Luk, Sung-Jin Oh, Shiwu Yang
We review our recent work on a construction of spherically symmetric global solutions to the Einstein--scalar field system with large bounded variation norms and large Bondi masses…
Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms
Jonathan Luk, Sung-Jin Oh, Shiwu Yang
It is well-known that small, regular, spherically symmetric characteristic initial data to the Einstein-scalar-field system which are decaying towards (future null) infinity give r…
Decay of solutions of Maxwell-Klein-Gordon equations with large Maxwell field
Shiwu Yang
It has been shown in the author's companion paper that solutions of Maxwell-Klein-Gordon equations in possess some form of global strong decay properties with da…
On global behavior of solutions of the Maxwell-Klein-Gordon equations
Shiwu Yang
It is known that the Maxwell-Klein-Gordon equations in admit global solutions with finite energy data. In this paper, we present a new approach to study the asym…
Global solutions of nonlinear wave equations with large energy
Shiwu Yang
In this paper, we give a criterion on the Cauchy data for the semilinear wave equations satisfying the null condition in such that the energy of…
On the quasilinear wave equations in time dependent inhomogeneous media
Shiwu Yang
We consider the problem of small data global existence for quasilinear wave equations with null condition on a class of Lorentzian manifolds with \textbf{ti…
On the geodesic hypothesis in general relativity
Shiwu Yang
In this paper, we give a rigorous derivation of Einstein's geodesic hypothesis in general relativity. We use scaling stable solitons for nonlinear wave equations to approximate the…
Global stability of solutions to nonlinear wave equations
Shiwu Yang
We consider the problem of global stability of solutions to a class of semilinear wave equations with null condition in Minkowski space. We give sufficient conditions on the given…
Global solutions of nonlinear wave equations in time dependent inhomogeneous media
Shiwu Yang
We consider the problem of small data global existence for a class of semilinear wave equations with null condition on a Lorentzian background with a \textb…