4 papers · 1 filter
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…
On the motion of charged particles in constant electromagnetic field: the parallel case
Shuang Miao, Shiwu Yang, Pin Yu
This paper is devoted to presenting a rigorous mathematical derivation for the classical phenomenon in Maxwell's theory that a charged particle moves along a straight line in a con…
Asymptotic decay for the Chern-Simons-Higgs equations
Dongyi Wei, Shiwu Yang
In this paper, we study the long time asymptotic behaviors for solutions to the Chern-Simons-Higgs equation with a pure power defocusing nonlinearity. We obtain quantitative invers…
Characteristic initial value problem for nonlinear wave equation with singular initial data
Wei Dai, Shiwu Yang
In this paper, we study the characteristic initial value problem for a class of nonlinear wave equations with data on a conic light cone in the Minkowski space .…