4 papers
A Barrier-Free Synchronization Algorithm for Multi-Engine AI Accelerators
Chungha Sung, Nikil V. Shyamsunder, Hanliang Zhang +2
Multi-engine AI accelerators such as AWS Trainium comprise specialized compute engines that execute in parallel, and the compiler must synchronize the data dependencies between the…
Kinetic shock profiles for the Landau equation
Dallas Albritton, Jacob Bedrossian, Matthew Novack
The physical quantities in a gas should vary continuously across a shock. However, the physics inherent in the compressible Euler equations is insufficient to describe the width or…
Non-conservation of a generalized helicity in the Euler equations
Vikram Giri, Hyunju Kwon, Matthew Novack
For a solution to the incompressible 3D Euler equations, the helicity is constant in time. For general low-r…
Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces
Estepan Ashkarian, Ataleshvara Bhargava, Nicholas Gismondi +1
In this paper we construct non-trivial solutions to the stationary Navier-Stokes equations on the two dimensional torus which lie in $\bigcap_{ε\in (0,1)} L^{2-ε}(\mathbb{T}^2) \…