2 citations · 2 across the 5 of their papers we have counts for
5 papers
Gradient catastrophes and an infinite hierarchy of Hölder cusp-singularities for 1D Euler
Isaac Neal, Steve Shkoller, Vlad Vicol
We establish an infinite hierarchy of finite-time gradient catastrophes for smooth solutions of the 1D Euler equations of gas dynamics with non-constant entropy. Specifically, for…
A new type of stable shock formation in gas dynamics
Isaac Neal, Calum Rickard, Steve Shkoller +1
From an open set of initial data, we construct a family of classical solutions to the 1D nonisentropic compressible Euler equations which form cusps as a first singularit…
A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy
Isaac Neal, Steve Shkoller, Vlad Vicol
We provide a detailed analysis of the shock formation process for the non-isentropic 2d Euler equations in azimuthal symmetry. We prove that from an open set of smooth and generic…
Census-Independent Population Estimation using Representation Learning
Isaac Neal, Sohan Seth, Gary Watmough +1
Knowledge of population distribution is critical for building infrastructure, distributing resources, and monitoring the progress of sustainable development goals. Although censuse…
Towards Sustainable Census Independent Population Estimation in Mozambique
Isaac Neal, Sohan Seth, Gary Watmough +1
Reliable and frequent population estimation is key for making policies around vaccination and planning infrastructure delivery. Since censuses lack the spatio-temporal resolution r…