6 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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 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 …