Todd A. Oliynyk

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stability of fluids in spacetimes with decelerated expansion	2025	David Fajman Maximilian Ofner Todd A. Oliynyk Zoe Wyatt
+	Future global existence and stability of de Sitter-like solutions to the Einstein–Yang–Mills equations in spacetime dimensions $n\geq 4$	2024	Chao Liu Todd A. Oliynyk Jinhua Wang
+ PDF Chat	Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mi>K</mml:mi><mml:mi>ρ</mml:mi></mml:mrow></mml:math> with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>0</mml:mn><mml:mo>≤</mml:mo><mml:mi>K</mml:mi><mml:mo><</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></…	2024	Florian Beyer Elliot Marshall Todd A. Oliynyk
+	On the Fractional Density Gradient Blow-Up Conjecture of Rendall	2024	Todd A. Oliynyk
+ PDF Chat	Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state $p=K\rho$ with $0 \leq K<1/3$	2024	Florian Beyer Elliot Marshall Todd A. Oliynyk
+ PDF Chat	Phase transition between shock formation and stability in cosmological fluids	2024	David Fajman Maciej Maliborski Maximilian Ofner Todd A. Oliynyk Zoe Wyatt
+ PDF Chat	Future stability of perfect fluids with extreme tilt and linear equation of state $p=c_s^2\rho$ for the Einstein-Euler system with positive cosmological constant: The range $\frac{1}{3}<c_s^2<\frac{3}{7}$	2024	Grigorios Fournodavlos Elliot Marshall Todd A. Oliynyk
+ PDF Chat	A polytopal discrete de Rham complex on manifolds, with application to the Maxwell equations	2024	Jérôme Droniou Marien Hanot Todd A. Oliynyk
+	Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularities	2024	Florian Beyer Todd A. Oliynyk
+	Localized Big Bang Stability for the Einstein-Scalar Field Equations	2023	Florian Beyer Todd A. Oliynyk
+ PDF Chat	The Stability of Relativistic Fluids in Linearly Expanding Cosmologies	2023	David Fajman Maximilian Ofner Todd A. Oliynyk Zoe Wyatt
+ PDF Chat	On the stability of relativistic perfect fluids with linear equations of state $$p=K\rho $$ where $$1/3<K<1$$	2023	Elliot Marshall Todd A. Oliynyk
+ PDF Chat	Future instability of FLRW fluid solutions for linear equations of state <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mi>K</mml:mi><mml:mi>ρ</mml:mi></mml:mrow></mml:math> with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn><mml:mo><</mml:mo><mml:mi>K</mml:mi><mml:mo><</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>	2023	Florian Beyer Elliot Marshall Todd A. Oliynyk
+ PDF Chat	A polyhedral discrete de Rham numerical scheme for the Yang–Mills equations	2023	Jérôme Droniou Todd A. Oliynyk Jia Jia Qian
+	The Stability of Relativistic Fluids in Linearly Expanding Cosmologies	2023	David Fajman Maximilian Ofner Todd A. Oliynyk Zoe Wyatt
+	Future instability of FLRW fluid solutions for linear equations of state $p=Kρ$ with $1/3	2023	Florian Beyer Elliot Marshall Todd A. Oliynyk
+	Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularites	2023	Florian Beyer Todd A. Oliynyk
+	On the fractional density gradient blow-up conjecture of Rendall	2023	Todd A. Oliynyk
+ PDF Chat	Stability of asymptotic behaviour within polarized T2-symmetric vacuum solutions with cosmological constant	2022	Ellery Ames Florian Beyer James Isenberg Todd A. Oliynyk
+ PDF Chat	Stability of AVTD Behavior Within the Polarized $$\mathbb {T}{}^2$$-Symmetric Vacuum Spacetimes	2022	Ellery Ames Florian Beyer James Isenberg Todd A. Oliynyk
+	Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$	2022	Chao Liu Todd A. Oliynyk Jinhua Wang
+	A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations	2022	Jérôme Droniou Todd A. Oliynyk Jia Jia Qian
+	On the stability of relativistic perfect fluids with linear equations of state $p=Kρ$ where $1/3	2022	Elliot Marshall Todd A. Oliynyk
+ PDF Chat	Localized big bang stability for the Einstein-scalar field equations	2021	Florian Beyer Todd A. Oliynyk
+	Stability of Asymptotic Behavior Within Polarised $T^2$-Symmetric Vacuum Solutions with Cosmological Constant	2021	Ellery Ames Florian Beyer James Isenberg Todd A. Oliynyk
+ PDF Chat	A Fuchsian viewpoint on the weak null condition	2021	Todd A. Oliynyk J. Arturo Olvera-Santamaría
+	Stability of AVTD Behavior within the Polarized $T^2$-symmetric vacuum spacetimes	2021	Ellery Ames Florian Beyer James Isenberg Todd A. Oliynyk
+ PDF Chat	Stabilizing Relativistic Fluids on Spacetimes with Non-Accelerated Expansion	2021	David Fajman Todd A. Oliynyk Zoe Wyatt
+ PDF Chat	Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$	2021	Todd A. Oliynyk
+	Localized big bang stability for the Einstein-scalar field equations	2021	Florian Beyer Todd A. Oliynyk
+ PDF Chat	The Fuchsian approach to global existence for hyperbolic equations	2020	Florian Beyer Todd A. Oliynyk J. Arturo Olvera-Santamaría
+	A Fuchsian viewpoint on the weak null condition	2020	Todd A. Oliynyk J. Arturo Olvera-Santamaría
+	Relativistic perfect fluids near Kasner singularities	2020	Florian Beyer Todd A. Oliynyk
+	A Fuchsian viewpoint on the weak null condition	2020	Todd A. Oliynyk J. Arturo Olvera-Santamaría
+	The Fuchsian approach to global existence for hyperbolic equations	2019	Florian Beyer Todd A. Oliynyk J. Arturo Olvera-Santamaría
+	Dynamical relativistic liquid bodies	2019	Todd A. Oliynyk
+	The Fuchsian approach to global existence for hyperbolic equations	2019	Florian Beyer Todd A. Oliynyk J. Arturo Olvera-Santamaría
+ PDF Chat	Cosmological Newtonian Limits on Large Spacetime Scales	2018	Chao Liu Todd A. Oliynyk
+ PDF Chat	Newtonian Limits of Isolated Cosmological Systems on Long Time Scales	2018	Chao Liu Todd A. Oliynyk
+	A priori estimates for relativistic liquid bodies	2017	Todd A. Oliynyk
+	Cosmological Newtonian limits on long time scales	2017	Chao Liu Todd A. Oliynyk
+	Dynamical relativistic liquid bodies I: constraint propagation	2017	Todd A. Oliynyk
+ PDF Chat	Classical-Quantum Limits	2016	Todd A. Oliynyk
+ PDF Chat	Future Stability of the FLRW Fluid Solutions in the Presence of a Positive Cosmological Constant	2016	Todd A. Oliynyk
+ PDF Chat	Dynamical Compact Elastic Bodies in General Relativity	2015	Lars Andersson Todd A. Oliynyk Bernd Schmidt
+ PDF Chat	The Newtonian Limit on Cosmological Scales	2015	Todd A. Oliynyk
+ PDF Chat	Cosmological Newtonian limit	2014	Todd A. Oliynyk
+	A transmission problem for quasi-linear wave equations	2014	Lars Andersson Todd A. Oliynyk
+	On the Cosmological Newtonian limit	2013	Todd A. Oliynyk
+ PDF Chat	On the existence of solutions to the relativistic Euler equations in two spacetime dimensions with a vacuum boundary	2012	Todd A. Oliynyk
+ PDF Chat	Lagrange coordinates for the Einstein-Euler equations	2012	Todd A. Oliynyk
+ PDF Chat	The fast Newtonian limit for perfect fluids	2012	Todd A. Oliynyk
+ PDF Chat	There are no Magnetically Charged Particle-like Solutions of the Einstein Yang-Mills Equations for Models with an Abelian Residual Group	2011	Mark Fisher Todd A. Oliynyk
+ PDF Chat	Dynamical elastic bodies in Newtonian gravity	2011	Lars Andersson Todd A. Oliynyk Bernd Schmidt
+ PDF Chat	A RIGOROUS FORMULATION OF THE COSMOLOGICAL NEWTONIAN LIMIT WITHOUT AVERAGING	2010	Todd A. Oliynyk
+ PDF Chat	Static spherically symmetric solutions of the SO(5) Einstein Yang–Mills equations	2010	Robert Bartnik Mark Fisher Todd A. Oliynyk
+ PDF Chat	On long-time existence for the flow of static metrics with rotational symmetry	2010	Liljana Gulcev Todd A. Oliynyk Eric Woolgar
+ PDF Chat	Cosmological Post-Newtonian Expansions to Arbitrary Order	2009	Todd A. Oliynyk
+	The fast Newtonian limit for perfect fluids	2009	Todd A. Oliynyk
+ PDF Chat	Existence of families of spacetimes with a Newtonian limit	2009	Todd A. Oliynyk Bernd Schmidt
+ PDF Chat	The second-order renormalization group flow for nonlinear sigma models in two dimensions	2009	Todd A. Oliynyk
+ PDF Chat	Post-Newtonian Expansions for Perfect Fluids	2009	Todd A. Oliynyk
+	On long-time existence for the flow of static metrics with rotational symmetry	2009	Liljana Gulcev Todd A. Oliynyk Eric Woolgar
+	The second-order renormalization group flow for nonlinear sigma models in two dimensions	2009	Todd A. Oliynyk
+	The fast Newtonian limit for perfect fluids	2009	Todd A. Oliynyk
+ PDF Chat	Stability of the (Two-Loop) Renormalization Group Flow for Nonlinear Sigma Models	2008	Christine Guenther Todd A. Oliynyk
+ PDF Chat	The Newtonian Limit for Perfect Fluids	2007	Todd A. Oliynyk
+ PDF Chat	Metric for gradient renormalization group flow of the worldsheet sigma model beyond first order	2007	Todd A. Oliynyk Vardarajan Suneeta Eric Woolgar
+ PDF Chat	Rotationally symmetric Ricci flow on asymptotically flat manifolds	2007	Todd A. Oliynyk Eric Woolgar
+ PDF Chat	An Existence Proof for the Gravitating BPS Monopole	2006	Todd A. Oliynyk
+ PDF Chat	A gradient flow for worldsheet nonlinear sigma models	2006	Todd A. Oliynyk Vardarajan Suneeta Eric Woolgar
+	Asymptotically Flat Ricci Flows	2006	Todd A. Oliynyk Eric Woolgar
+ PDF Chat	Spherical symmetry of generalized EYMH fields	2005	H. P. Künzle Todd A. Oliynyk
+ PDF Chat	Newtonian perturbations and the Einstein–Yang–Mills-dilaton equations	2005	Todd A. Oliynyk
+	Spherically symmetric Einstein–Yang–Mills–Higgs fields for general compact gauge groups	2005	H. P. Künzle Todd A. Oliynyk
+	Irreversibility of world-sheet renormalization group flow	2005	Todd A. Oliynyk Vardarajan Suneeta Eric Woolgar
+ PDF Chat	Hidden Measurements, Hidden Variables and the Volume Representation of Transition Probabilities	2005	Todd A. Oliynyk
+ PDF Chat	On global properties of static spherically symmetric EYM fields with compact gauge groups	2003	Todd A. Oliynyk H. P. Künzle
+	Quantum Joint Distributions	2003	Todd A. Oliynyk
+	LOCAL EXISTENCE PROOFS FOR THE SPHERICAL EYM EQUATIONS	2002	Todd A. Oliynyk H. P. Künzle
+ PDF Chat	Local existence proofs for the boundary value problem for static spherically symmetric Einstein–Yang–Mills fields with compact gauge groups	2002	Todd A. Oliynyk H. P. Künzle
+ PDF Chat	On all possible static spherically symmetric EYM solitons and black holes	2002	Todd A. Oliynyk H. P. Künzle
+	Global existence of solutions to the Einstein-Yang-Mills-dilaton equations	2002	Todd A. Oliynyk

Common Coauthors

Coauthor	Papers Together
Florian Beyer	17
Elliot Marshall	7
Eric Woolgar	7
J. Arturo Olvera-Santamaría	6
Zoe Wyatt	5
David Fajman	5
Maximilian Ofner	4
James Isenberg	4
Ellery Ames	4
Chao Liu	4
Jérôme Droniou	3
Lars Andersson	3
H. P. Künzle	3
Vardarajan Suneeta	3
H. P. Künzle	3
Bernd Schmidt	3
Mark Fisher	2
Jia Jia Qian	2
Liljana Gulcev	2
Jinhua Wang	1
Maciej Maliborski	1
Jinhua Wang	1
Chao Liu	1
Marien Hanot	1
Robert Bartnik	1
Christine Guenther	1
Grigorios Fournodavlos	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Future Stability of the FLRW Fluid Solutions in the Presence of a Positive Cosmological Constant	2016	Todd A. Oliynyk	20
+ PDF Chat	The Fuchsian approach to global existence for hyperbolic equations	2020	Florian Beyer Todd A. Oliynyk J. Arturo Olvera-Santamaría	15
+ PDF Chat	A conformal approach for the analysis of the non-linear stability of radiation cosmologies	2012	Christian Lübbe Juan A. Valiente Kroon	14
+ PDF Chat	The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant	2015	Mahir Hadžić Jared Speck	14
+ PDF Chat	The nonlinear future stability of the FLRW family of solutions to the Euler–Einstein system with a positive cosmological constant	2012	Jared Speck	13
+	Stabilizing effect of the power law inflation on isentropic relativistic fluids	2018	Changhua Wei	13
+ PDF Chat	Cosmological Newtonian Limits on Large Spacetime Scales	2018	Chao Liu Todd A. Oliynyk	12
+ PDF Chat	The nonlinear future stability of the FLRW family of solutions to the irrotational Euler–Einstein system with a positive cosmological constant	2013	Igor Rodnianski Jared Speck	12
+ PDF Chat	Future Stability of the FLRW Spacetime for a Large Class of Perfect Fluids	2021	Chao Liu Changhua Wei	11
+	The initial value problem for a class of general relativistic fluid bodies	1992	Alan D. Rendall	11
+ PDF Chat	Newtonian Limits of Isolated Cosmological Systems on Long Time Scales	2018	Chao Liu Todd A. Oliynyk	11
+ PDF Chat	On the existence of rotating stars in general relativity	1995	U. Heilig	10
+ PDF Chat	The Newtonian Limit for Perfect Fluids	2007	Todd A. Oliynyk	10
+ PDF Chat	The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological models	1994	Uwe Brauer Alan D. Rendall Oscar Reula	10
+	Problems with Different Time Scales for Nonlinear Partial Differential Equations	1982	G. L. Browning H.- Kreiss	10
+ PDF Chat	An Existence Proof for the Gravitating BPS Monopole	2006	Todd A. Oliynyk	9
+	Compressible and incompressible fluids	1982	Sergiù Klainerman Andrew J. Majda	9
+	Symmetric hyperbolic systems with a large parameter	1986	Steven Schochet	9
+ PDF Chat	Stabilizing Relativistic Fluids on Spacetimes with Non-Accelerated Expansion	2021	David Fajman Todd A. Oliynyk Zoe Wyatt	9
+ PDF Chat	Kasner-Like Behaviour for Subcritical Einstein-Matter Systems	2002	Thibault Damour Marc Henneaux Alan D. Rendall Marsha Weaver	9
+ PDF Chat	Self–gravitating fluid flows with Gowdy symmetry near cosmological singularities	2017	Florian Beyer Philippe G. LeFloch	9
+ PDF Chat	The Newtonian limit for asymptotically flat solutions of the Vlasov-Einstein system	1994	Alan D. Rendall	9
+ PDF Chat	Quiescent Cosmological Singularities	2001	Lars Andersson Alan D. Rendall	9
+ PDF Chat	Local existence proofs for the boundary value problem for static spherically symmetric Einstein–Yang–Mills fields with compact gauge groups	2002	Todd A. Oliynyk H. P. Künzle	9
+	Asymptotics for symmetric hyperbolic systems with a large parameter	1988	Steven Schochet	9
+ PDF Chat	Asymptotic behavior in polarized T2-symmetric vacuum space–times	1999	James Isenberg Satyanad Kichenassamy	9
+ PDF Chat	Quasilinear Hyperbolic Fuchsian Systems and AVTD Behavior in T 2-Symmetric Vacuum Spacetimes	2013	Ellery Ames Florian Beyer James Isenberg Philippe G. LeFloch	9
+ PDF Chat	Asymptotic behaviour in polarized and half-polarized <i>U</i> (1) symmetric vacuum spacetimes	2002	James Isenberg Vincent Moncrief	9
+ PDF Chat	The Stabilizing Effect of Spacetime Expansion on Relativistic Fluids With Sharp Results for the Radiation Equation of State	2013	Jared Speck	8
+ PDF Chat	Cosmological Post-Newtonian Expansions to Arbitrary Order	2009	Todd A. Oliynyk	8
+	Nonlinear Functional Analysis	1985	Klaus Deimling	8
+	Problems with different time scales for partial differential equations	1980	Heinz‐Otto Kreiss	8
+	On the existence ofn-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure	1986	Helmut Friedrich	8
+	Asymptotic behavior of the gravitational field and the nature of singularities in gowdy spacetimes	1990	James Isenberg Vincent Moncrief	8
+ PDF Chat	The mass of an asymptotically flat manifold	1986	Robert Bartnik	8
+	A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges	2017	Ellery Ames Florian Beyer James Isenberg Philippe G. LeFloch	8
+ PDF Chat	Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity	2000	Alan D. Rendall	8
+ PDF Chat	Post-Newtonian Expansions for Perfect Fluids	2009	Todd A. Oliynyk	8
+ PDF Chat	Half polarized symmetric vacuum spacetimes with AVTD behavior	2005	Yvonne Choquet–Bruhat James Isenberg	8
+ PDF Chat	On all possible static spherically symmetric EYM solitons and black holes	2002	Todd A. Oliynyk H. P. Künzle	8
+	A note on the relativistic Euler equations	2003	Jörg Frauendiener	7
+ PDF Chat	Static spherically symmetric solutions of the Einstein-Yang-Mills equations	1994	P. Breitenlohner Péter Forgács Dieter Maison	7
+	A Symmetric Hyperbolic Structure for Isentropic Relativistic Perfect Fluids	2005	Ronald A. Walton	7
+ PDF Chat	Strong cosmic censorship in<i>T</i><sup>3</sup>-Gowdy spacetimes	2009	Hans Ringström	7
+ PDF Chat	On the global existence and the asymptotic behavior of solutions to the Einstein-Maxwell-Yang-Mills equations	1991	Helmut Friedrich	7
+	The global nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FRW geometry	2015	Philippe G. LeFloch Changhua Wei	7
+ PDF Chat	Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant	2022	Grigorios Fournodavlos	7
+ PDF Chat	Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries	2014	Luc Blanchet	6
+ PDF Chat	Stable Big Bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems	2018	Igor Rodnianski Jared Speck	6
+	The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant	2009	Igor Rodnianski Jared Speck	6