23 citations · 89 across the 22 of their papers we have counts for
17 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…
Constructing characteristic initial data for three dimensional compressible Euler equations
Yuxuan Wang, Sifan Yu, Pin Yu
This paper resolves the characteristic initial data problem for the three-dimensional compressible Euler equations - an open problem analogous to Christodoulou's characteristic ini…
On the stability of multi-dimensional rarefaction waves II: existence of solutions and applications to Riemann problem
Tian-Wen Luo, Pin Yu
This is the second paper in a series studying the nonlinear stability of rarefaction waves in multi-dimensional gas dynamics. We construct initial data near singularities in the ra…
On the stability of multi-dimensional rarefaction waves I: the energy estimates
Tian-Wen Luo, Pin Yu
We study the resolution of discontinuous singularities in gas dynamics via rarefaction waves. The mechanism is well-understood in the one dimensional case. We will prove the non-no…
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 rigidity from infinity for nonlinear Alfvén waves
Mengni Li, Pin Yu
The Alfvén waves are fundamental wave phenomena in magnetized plasmas and the dynamics of Alfvén waves are governed by a system of nonlinear partial differential equations called t…