asymptotically flat spacetimes 1Cauchy problem 1short-pulse method 1spacelike initial data 1trapped surfaces 1
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math.AP2026
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…
math.AP2025
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…