16 citations · 39 across the 10 of their papers we have counts for
10 papers
Inevitable shock formation for 3-D compressible Euler flows
Sergiu Klainerman, Qian Wang, Shiwu Yang +1
We prove that solutions arising from smooth, sufficiently small, compactly supported perturbations of non-vacuum constant states in three-dimensional irrotational compressible flow…
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 the exterior stability of nonlinear wave equations
Qian Wang
We consider a very general class of nonlinear wave equations, which admit trivial solutions and not necessarily verify any form of null conditions. For compactly supported small da…
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…
A geometric perspective on the method of descent
Qian Wang
We derive a representation formula for the tensorial wave equation $\Box_\bg ϕ^I=F^I$ in globally hyperbolic Lorentzian spacetimes $(\M^{2+1}, \bg)$ by giving a geometric formulati…
An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
Qian Wang
In [7] Klainerman introduced the hyperboloidal method to prove the global existence results for nonlinear Klein-Gordon equations by using commuting vector fields. In this paper, we…
A geometric approach for sharp Local well-posedness of quasilinear wave equations
Qian Wang
The commuting vector fields approach, devised for strichartz estimates in [13], was developed for proving the local well-posedness in the Sobolev spaces with $s>2+\frac{2-\sq…
Rough solutions of Einstein vacuum equations in CMCSH gauge
Qian Wang
In this paper, we consider very rough solutions to Cauchy problem for the Einstein vacuum equations in CMC spacial harmonic gauge, and obtain the local well-posedness result in $H^…
On Ricci coefficients of null hypersurfaces with time foliation in Einstein vacuum space-time
Qian Wang
The main objective of this paper is to control the geometry of null cones with time foliation in Einstein vacuum spacetime under the assumptions of small curvature flux and a weake…
Improved breakdown criterion for Einstein vacuum equations in CMC gauge
Qian Wang
Let $\M_*=\cup_{t\in [t_0, t_*)} Σ_t$ be a part of vacuum globally hyperbolic space-time $(\bM, \bg)$, foliated by constant mean curvature hypersurfaces with . We…