79 citations · 510 across the 29 of their papers we have counts for
4 papers · 1 filter
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…
Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations
Jared Speck
In three spatial dimensions, we study the Cauchy problem for the model wave equation for . We exhibit a stable form o…
Stable shock formation for nearly simple outgoing plane symmetric waves
Jared Speck, Gustav Holzegel, Jonathan Luk +1
In an influential 1964 article, P. Lax studied genuinely nonlinear strictly hyperbolic PDE systems (in one spatial dimension). Using the method of Riemann invariants,…