6 citations · 10 across the 8 of their papers we have counts for
8 papers
Decay estimates of wave equations in un-isotropic media
Sergiu Klainerman, Xuecheng Wang
We prove decay estimates for solutions to non-isotropic linear systems of wave equations. The defining feature of these estimates is that they depend only on the commutation proper…
When Benchmarks are Targets: Revealing the Sensitivity of Large Language Model Leaderboards
Norah Alzahrani, Hisham Abdullah Alyahya, Yazeed Alnumay +9
Large Language Model (LLM) leaderboards based on benchmark rankings are regularly used to guide practitioners in model selection. Often, the published leaderboard rankings are take…
Global solution of 3D anisotropic wave equations with the same speed in one direction
Xuecheng Wang
Motivated by the study of uniaxial crystal optics, we consider a coupled system of anisotropic wave equations, in which they have the same speed only in one direction but dist…
Global stability of the Minkowski spacetime for the Einstein-Vlasov system
Xuecheng Wang
We prove global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindbla…
Remarks on the Large data global solutions of RVP system and RVM system
Xuecheng Wang
We show that the simplified relativistic Vlasov-Maxwell (sRVM) system, in which there is no magnetic field, poses a global solution for a class of arbitrarily large cylindrica…
Decay estimates for the relativistic and non-relativistic Vlasov-Poisson systems
Xuecheng Wang
We study the small data global regularity problem of the Vlasov-Poisson system for both the relativistic case and the non-relativistic case. The main goal of this paper is two…
Global regularity for the 3D finite depth capillary water waves
Xuecheng Wang
In this paper, we prove global regularity, scattering, and the non-existence of small traveling waves for the finite depth capillary waves system for small initial data. The n…
Global solution for the quadratic Schrödinger equation of type
Xuecheng Wang
We study a class of quadratic Schrödinger equations as follows, . Different from nonlinearities of the type and the …