Adam Layne

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All published works

Action	Title	Year	Authors
+	A Numerical Study of the Expanding Direction of $T^2$-Symmetric Spacetimes	2023	B. K. Berger James Isenberg Adam Layne
+ PDF Chat	Stability Within $$T^2$$-Symmetric Expanding Spacetimes	2019	B. K. Berger James Isenberg Adam Layne
+	New numerical evidence for asymptotics in $\mathbb T^2$-symmetric cosmologies on $\mathbb T^3$	2016	Adam Layne B. K. Berger James Isenberg
+	The Dirichlet problem for curve shortening flow	2012	Paul T. Allen Adam Layne Katharine Tsukahara

Common Coauthors

Coauthor	Papers Together
B. K. Berger	3
James Isenberg	3
Paul T. Allen	1
Katharine Tsukahara	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The heat equation shrinks embedded plane curves to round points	1987	M. Grayson	1
+ PDF Chat	The heat equation shrinking convex plane curves	1986	Michael E. Gage Richard S. Hamilton	1
+ PDF Chat	Harnack estimate for the mean curvature flow	1995	Richard S. Hamilton	1
+ PDF Chat	Deforming metrics in the direction of their Ricci tensors	1983	Dennis DeTurck	1
+ PDF Chat	A distance comparison principle for evolving curves	1998	Gerhard Huisken	1
+ PDF Chat	Harmonic Maps of Manifolds with Boundary	1975	Richard S. Hamilton	1
+ PDF Chat	Nodal Properties of Solutions of Parabolic Equations	1991	Sigurd Angenent	1
+	Parabolic Equations for Curves on Surfaces Part I. Curves with p-Integrable Curvature	1990	Sigurd Angenent	1
+	The reduced Einstein equations and the conformal volume collapse of 3-manifolds	2001	Arthur E. Fischer Vincent Moncrief	1
+ PDF Chat	Asymptotic behavior for singularities of the mean curvature flow	1990	Gerhard Huisken	1
+	Instability of Spatially Homogeneous Solutions in the Class of $${\mathbb{T}^{2}}$$ T 2 -Symmetric Solutions to Einstein’s Vacuum Equations	2015	Hans Ringström	1
+	Global Foliations of Vacuum Spacetimes withT2Isometry	1997	B. K. Berger Piotr T. Chruściel James Isenberg Vincent Moncrief	1
+	A Method for Generating New Solutions of Einstein's Equation. II	1972	Robert Geroch	1
+ 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	1
+	The inverse function theorem of Nash and Moser	1982	Richard S. Hamilton	1
+	Parabolic Equations for Curves on Surfaces: Part II. Intersections, Blow-up and Generalized Solutions	1991	Sigurd Angenent	1
+	Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions	1974	Robert H. Gowdy	1
+ PDF Chat	On a wave map equation arising in general relativity	2004	Hans Ringström	1
+	Shortening Embedded Curves	1989	M. Grayson	1
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	1
+	Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes	2016	Philippe G. LeFloch Jacques Smulevici	1
+ PDF Chat	A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation	2017	Igor Rodnianski Jared Speck	1
+ PDF Chat	Collapsing in the Einstein Flow	2018	John Lott	1
+ PDF Chat	Linear systems of wave equations on cosmological backgrounds with convergent asymptotics	2020	Hans Ringström	1
+	On the Cosmic No-Hair Conjecture in T2-symmetric non-linear scalar field spacetimes	2017	Katharina Radermacher	1
+ 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	1
+ 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	1
+ PDF Chat	On Long-Time Evolution in General Relativity¶and Geometrization of 3-Manifolds	2001	Michael T. Anderson	1
+ PDF Chat	Asymptotic behaviour in polarized and half-polarized <i>U</i> (1) symmetric vacuum spacetimes	2002	James Isenberg Vincent Moncrief	1
+ PDF Chat	Backreaction in the future behavior of an expanding vacuum spacetime	2017	John Lott	1
+ PDF Chat	Einstein Equations Under Polarized $${\mathbb{U}}$$ U (1) Symmetry in an Elliptic Gauge	2018	Cécile Huneau Jonathan Luk	1
+ PDF Chat	High-frequency backreaction for the Einstein equations under polarized U(1)-symmetry	2018	Cécile Huneau Jonathan Luk	1
+ PDF Chat	Solutions of the Einstein Equations Involving Functions of Only One Variable	1925	Edward Kasner	1