Publications

Abbrescia, L. and Speck J., Lecture notes on: The emergence of the singular boundary from the crease in 3D compressible Euler flow, (2023), 294 pages

Abbrescia, L. and Speck J., The emergence of the singular boundary from the crease in 3D compressible Euler flow, (2022), 266 pages

Rodnianski, I. and Speck, J., On the nature of Hawking's incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data, Journal of the European Mathematical Society, 24, no. 1, (2022), 167-263

Speck, J., Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities, Analysis & PDE, 13, no. 1, (2020), 93-146

Disconzi, M. and Speck, J., The relativistic Euler equations: Remarkable null structures and regularity properties, Annales Henri Poincaré, 20, no. 7, (2019), 2173-2270

Luk, J. and Speck, J., Shock formation in solutions to the 2D compressible Euler equations in the presence of non-zero vorticity, Inventiones Mathematicae, 214, no. 1, (2018), 1-169

Speck, J., Shock formation for 2D quasilinear wave systems featuring multiple speeds: Blowup for the fastest wave, with non-trivial interactions up to the singularity, Annals of PDE, 4, no. 1, (2018), 1-131

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Speck, J., Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations, Analysis & PDE, 10, no. 8, (2017), 2001-2030

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Hadžić, M. and Speck, J., The global future stability of the FLRW solutions to the dust-Einstein system with a positive cosmological constant, Journal of Hyperbolic Differential Equations, 12, no. 1, (2015), 87-188

Rodnianski, I. and Speck, J., The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant, Journal of the European Mathematical Society, 15, no. 6, (2013), 2369-2462

Speck, J. and Strain, R., Hilbert expansion from the Boltzmann equation to relativistic fluids, Communications in Mathematical Physics, 304, no. 1, (2011), 229-280

Abbrescia, L. and Speck J., The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions, Classical and Quantum Gravity, 40, (2023), 1-80

Luk, J. and Speck J., The stability of simple plane-symmetric shock formation for 3D compressible Euler flow with vorticity and entropy, to appear in Analysis & PDE, (2021), 104 pages

Luk, J. and Speck, J., The hidden null structure of the compressible Euler equations and a prelude to applications, Journal of Hyperbolic Differential Equations, 17, no. 1, (2020), 1-60

Speck, J., A new formulation of the 3D compressible Euler equations with dynamic entropy: Remarkable null structures and regularity properties, Archive for Rational Mechanics and Analysis, 234, no. 3, (2019), 1223-1279

Hadžić, M., Shkoller, S., and Speck, J., A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary, Communications in Partial Differential Equations, 44, no. 10, (2019), 859-906

Rodnianski, I. and Speck, J., Stable Big Bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems, Selecta Mathematica, 24, no. 5, (2018), 4293-4459

Speck, J., Holzegel, G., Luk, J., and Wong, W., Stable shock formation for nearly simple outgoing plane symmetric waves, Annals of PDE, 2, no. 2 (2016), 1-198

Speck, J., Shock formation in small-data solutions to 3D quasilinear wave equations, AMS Mathematical Surveys and Monographs, Vol. 214, (2016), 515 pages

Speck, J., The global stability of the Minkowski spacetime solution to the Einstein-nonlinear system in wave coordinates, Analysis & PDE, 7, no. 4, (2014), 771-901

Speck, J., The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant, Selecta Mathematica, 18, no. 3, (2012), 633-715

Speck, J., The non-relativistic limit of the Euler-Nordström system with cosmological constant, Reviews in Mathematical Physics, 21, no. 7, (2009), 821-876

Fournodavlos G., Rodnianski, I., and Speck J., Stable Big Bang formation for Einstein’s equations: The complete sub-critical regime, Journal of the American Mathematical Society, 17, no. 3, (2023), 827-916

Disconzi, M., Luo, C., Mazzone, G., and Speck, J., Rough sound waves in 3D compressible Euler flow with vorticity, Selecta Mathematica, 28, no. 5, (2022), 1-153

Abbrescia, L. and Speck J., Remarkable localized integral identities for 3D compressible Euler flow and the double-null framework, (2020), 83 pages

Speck, J., Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation, Pure and Applied Analysis, 1, no. 3, (2019), 447-514

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Speck, J., The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology S^3, Communications in Mathematical Physics, 364, no. 3, (2018), 879-979

Rodnianski, I. and Speck, J., A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation, Annals of Mathematics, 187, no. 1, (2018), 65-156

Speck, J., A summary of some new results on the formation of shocks in the presence of vorticity, in Nonlinear Analysis in Geometry and Applied Mathematics; Harvard University Center of Mathematical Sciences and Applications, 1, (2017), 133-157

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Holzegel, G., Klainerman, S., Speck, J., and Wong W., Shock formation in small-data solutions to 3D quasilinear wave equations: An overview, Journal of Hyperbolic Differential Equations, 13, no. 1, (2016), 1-105

Speck, J., The stabilizing effect of spacetime expansion on relativistic fluids with sharp results for the radiation equation of state, Archive for Rational Mechanics and Analysis, 210, no. 2, (2013), 535-579

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Speck, J., The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system, Journal of Mathematical Physics, 53, no. 8, (2012), 1-83

Speck, J., Well-posedness for the Euler-Nordström system with cosmological constant, Journal of Hyperbolic Differential Equations, 6, no. 2, (2009), 313-358