79 citations · 510 across the 29 of their papers we have counts for
31 papers
The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in and multi-dimensions
Leonardo Abbrescia, Jared Speck
In this article, we provide notes that complement the lectures on the relativistic Euler equations and shocks that were given by the second author at the program Mathematical Persp…
The emergence of the singular boundary from the crease in compressible Euler flow
Leo Abbrescia, Jared Speck
We study the Cauchy problem for the compressible Euler equations under an arbitrary equation of state with positive speed of sound, aside from that of a Chaplygin gas. For ope…
The stability of simple plane-symmetric shock formation for 3D compressible Euler flow with vorticity and entropy
Jonathan Luk, Jared Speck
Consider a D simple small-amplitude solution to the isentropic compressible Euler equations which has smooth initial data, coincides with a constant s…
Stable Big Bang formation for Einstein's equations: The complete sub-critical regime
Grigorios Fournodavlos, Igor Rodnianski, Jared Speck
For , the generalized Kasner solutions are a family of explicit solutions to various Einstein-matter systems that start out smooth but then…
Remarkable localized integral identities for compressible Euler flow and the double-null framework
Leonardo Abbrescia, Jared Speck
We derive new, localized geometric integral identities for solutions to the compressible Euler equations under an arbitrary equation of state when the sound speed is positive.…
Rough sound waves in compressible Euler flow with vorticity
Marcelo M. Disconzi, Chenyun Luo, Giusy Mazzone +1
We prove a series of results tied to the regularity and geometry of solutions to the compressible Euler equations with vorticity and entropy. Our framework exploits and reveal…