1 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
Global stability for nonlinear wave equations satisfying a generalized null condition
John Anderson, Samuel Zbarsky
We prove global stability for a system of nonlinear wave equations satisfying a generalized null condition. The generalized null condition allows for null forms whose coefficients…
Stability and instability of traveling wave solutions to nonlinear wave equations
John Anderson, Samuel Zbarsky
In this paper, we study the stability and instability of plane wave solutions to semilinear systems of wave equations satisfying the null condition. We identify a condition which a…
From point vortices to vortex patches in self-similar expanding configurations
Samuel Zbarsky
The main result is that given a generic self-similarly expanding configuration of 3 point vortices that start sufficiently far out, we can instead take compactly supported vorticit…
Decay of solutions to the linearized free surface Navier-Stokes equations with fractional boundary operators
Ian Tice, Samuel Zbarsky
In this paper we consider a slab of viscous incompressible fluid bounded above by a free boundary, bounded below by a flat rigid interface, and acted on by gravity. The unique equi…