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math.AP2026
Two global stability theorems for small-data compressible Euler solutions: Unique maximal globally hyperbolic developments with gradient-blowup & smooth global existence in the entire spacetime
Leonardo Abbrescia, Jared Speck, Dongxiao Yu
We prove a pair of complementary small-data stability theorems describing the global future and past structure of classical solutions to the isentropic, spherically symmetric …
math.AP2026
The emergence of the Cauchy horizon from the crease for compressible Euler flow
Leonardo Abbrescia, Jared Speck
We study open sets of nearly plane symmetric data for the compressible Euler equations with dynamic entropy and non-trivial vorticity. In our prior work, we proved that the so…
math.AP2025
A quasilinear wave with a supersonic shock in a weak solution interrupting the classical development
Leonardo Abbrescia, Pieter Blue, Jan Sbierski +1
We study the Cauchy problem for classical and weak shock-forming solutions to a model quasilinear wave equation in dimensions arising from a convenient choice of …