3 citations · 5 across the 6 of their papers we have counts for
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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…
A New Formulation of the Compressible Euler Equations With Dynamic Entropy: Remarkable Null Structures and Regularity Properties
Jared Speck
We derive a new formulation of the compressible Euler equations with dynamic entropy exhibiting remarkable null structures and regularity properties. Our results hold for an a…
The hidden null structure of the compressible Euler equations and a prelude to applications
Jonathan Luk, Jared Speck
We derive a new formulation of the compressible Euler equations exhibiting remarkable structures, including surprisingly good null structures. The new formulation comprises covaria…
Shock formation in solutions to the compressible Euler equations in the presence of non-zero vorticity
Jonathan Luk, Jared Speck
We study the Cauchy problem for the compressible Euler equations in two spatial dimensions under any physical barotropic equation of state except that of a Chaplygin gas. We prove…
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…