68 citations · 124 across the 22 of their papers we have counts for
24 papers
Time-periodic solutions of the compressible Euler equations and the Nonlinear Theory of Sound
Blake Temple, Robin Young
We prove the existence of ``pure tone'' nonlinear sound waves of all frequencies. These are smooth, time periodic, oscillatory solutions of the compressible Euler equati…
Shock-Wave Refinement of the Friedmann-Robertson-Walker Metric
Christopher Alexander, Blake Temple, Joel Smoller
The mathematics of general relativistic shock waves is introduced and considered in a cosmological context. In particular, an expanding Friedmann-Roberson-Walker metric is matched…
On Weak Solutions to the Geodesic Equation in the Presence of Curvature Bounds
Moritz Reintjes, Blake Temple
We show that taking account of bounded curvature reduces the threshold regularity of connection coefficients required for existence and uniqueness of solutions to the geodesic equa…
The Nonlinear Theory of Sound
Blake Temple, Robin Young
We prove the existence of ``pure tone'' nonlinear sound waves of all frequencies. These are smooth, space and time periodic, oscillatory solutions of the compressible Eu…
Optimal Regularity and Uhlenbeck Compactness for General Relativity and Yang-Mills Theory
Moritz Reintjes, Blake Temple
We announce the extension of optimal regularity and Uhlenbeck compactness to the general setting of connections on vector bundles with non-compact gauge groups over non-Riemannian…
On the Optimal Regularity Implied by the Assumptions of Geometry II: Connections on Vector Bundles
Moritz Reintjes, Blake Temple
We extend authors' prior results on optimal regularity and Uhlenbeck compactness for affine connections to general connections on vector bundles. This is accomplished by deriving a…