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math.AP2014★ 2 cited
Shock Formation in Small-Data Solutions to Quasilinear Wave Equations
Jared Speck
In his 2007 monograph, D. Christodoulou proved a breakthrough result giving a detailed description of the formation of shocks in solutions to the relativistic Euler equations in th…
math.AP2014
Stable Big Bang Formation in Near-FLRW Solutions to the Einstein-Scalar Field and Einstein-Stiff Fluid Systems
Igor Rodnianski, Jared Speck
We prove a stable singularity formation result for solutions to the Einstein-scalar field and Einstein-stiff fluid systems. Our results apply to small perturbations of the spatiall…