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math.AP2025
Exponential Dichotomies for Elliptic Equations on Multidimensional Domains
Margaret Beck, Ryan Goh, Alanna Haslam-Hyde
The existence of exponential dichotomies has been well-established as a powerful tool to study existence, stability, and bifurcations of coherent structures. Currently, the applica…
math.AP2020
Asymptotic approximation of a modified compressible Navier-Stokes system
Ryan Goh, C. Eugene Wayne, Roland Welter
We study the long time asymptotics of a modified compressible Navier-Stokes system (mcNS) inspired by the previous work of Hoff and Zumbrun. We introduce a new decomposition of the…
math.AP2018★ 4 cited
Vortices in stably-stratified rapidly rotating Boussinesq convection
Ryan Goh, C. Eugene Wayne
We study the Boussinesq approximation for rapidly rotating stably-stratified fluids in a three dimensional infinite layer with either stress-free or periodic boundary conditions in…