Publications 
by J. Speck 
Title 
Preprint 
Published Version 
The maximal development of nearFLRW data for the Einsteinscalar field system with spatial topology S^3  https://arxiv.org/abs/1709.06477  
Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation  https://arxiv.org/abs/1709.04509  
Stable ODEtype blowup for some quasilinear wave equations with derivativequadratic nonlinearities  https://arxiv.org/abs/1709.04778  
Shock formation for 2D quasilinear wave systems featuring multiple speeds: Blowup for the fastest wave, with nontrivial interactions up to the singularity  https://arxiv.org/abs/1701.06728  To appear in Annals of PDE 
A new formulation of the 3D compressible Euler equations with dynamic entropy: Remarkable null structures and regularity properties  http://arxiv.org/abs/1701.06626  
Finitetime degeneration of hyperbolicity without blowup for quasilinear wave equations  http://arxiv.org/abs/1610.00821

Analysis & PDE, 10, no. 8, (2017), 20012030, 
A summary of some new results on the formation of shocks in the presence of vorticity  Preprint available: here  To appear in Harvard CMSA Series in Math 
Shock formation in solutions to the 2D compressible Euler equations in the presence of nonzero vorticity, with Jonathan Luk  http://arxiv.org/abs/1610.00737  
The hidden null structure of the compressible Euler equations and a prelude to applications, with Jonathan Luk  http://arxiv.org/abs/1610.00743  
A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary, with Mahir Hadžić and Steve Shkoller  http://arxiv.org/abs/1511.07467  
Stable shock formation for nearly simple outgoing plane symmetric waves, with Gustav Holzegel, Jonathan Luk, and Willie Wong  http://arxiv.org/abs/1601.01303  Annals of PDE, 2, no. 2, (2016), 1198, 
Shock formation in smalldata solutions to 3D quasilinear wave equations  http://arxiv.org/abs/1407.6320 Updated preprint available: here 
Mathematical Surveys and Monographs (AMS), (2016), 1515 
Shock formation in smalldata solutions to 3D quasilinear wave equations: An overview, with Gustav Holzegel, Sergiu Klainerman, and Willie Wong  http://arxiv.org/abs/1407.6276 Updated preprint available: here 
J. Hyperbolic Differ. Equ., 13, no. 1, (2016), 1105, 
Stable Big Bang formation in nearFLRW solutions to the Einsteinscalar field and Einsteinstiff fluid systems, with Igor Rodnianski 
http://arxiv.org/abs/1407.6298 Updated preprint available: here 

A regime of linear stability for the Einsteinscalar field system with applications to nonlinear Big Bang formation, with Igor Rodnianski 
http://arxiv.org/abs/1407.6293 Updated preprint available: here 
To appear in Annals of Mathematics 
The global future stability of the FLRW solutions to the dustEinstein system with a positive cosmological constant, with Mahir Hadžić  http://arxiv.org/abs/1309.3502  J. Hyperbolic Differ. Equ., 12, no. 1, (2015), 87188, doi: 10.1142/S0219891615500046

The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state  http://arxiv.org/abs/1201.1963  Arch Rational Mech Anal., 210, no. 2, (2013), 535579, 
The nonlinear futurestability of the FLRW family of solutions to the EulerEinstein system with a positive cosmological constant 
http://arxiv.org/abs/1102.1501  Selecta Mathematica, 18, no. 3, (2012), 633715, 
Hilbert expansion from the Boltzmann equation to relativistic fluids, with Robert Strain 
http://arxiv.org/abs/1009.5033  Comm. Math. Phys., 304, no. 1, (2011), 229280, 
The global stability of the Minkowski spacetime solution to the Einsteinnonlinear electromagnetic system in wave coordinates  http://arxiv.org/abs/1009.6038  Anal. PDE, 7, no. 4, (2014), 771901, 
The nonlinear stability of the trivial solution to the MaxwellBornInfeld system  http://arxiv.org/abs/1008.5018  J. Math. Phys., 53, no. 8, (2012), 183, doi: 10.1063/1.4740047 
The nonlinear futurestability of the FLRW family of solutions to the EulerEinstein system with a positive cosmological constant, with Igor Rodnianski  http://arxiv.org/abs/0911.5501  J. Eur. Math.Soc, 15, no. 6, (2013), 23692462, doi: 10.4171/JEMS/424 
The nonrelativistic limit of the EulerNordström system with cosmological constant  http://arxiv.org/abs/0810.2369  Rev. Math. Phys., 21, no. 7, (2009), 821876, 
Wellposedness for the EulerNordström system with cosmological constant  http://arxiv.org/abs/0802.2090  J. Hyperbolic Differ. Equ., 6, no. 2, (2009), 315358, 