Date of Award
Summer 8-3-2026
Document Type
Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics and Statistics
First Advisor
Vincent Martinez
Second Advisor
Aseel Farhat
Academic Program Adviser
Vincent Martinez
Abstract
Since their inception in the 1970s, shell models have proved to be a fruitful testbed for studying theories of turbulence. This thesis considers variations of two classical shell models: the Gledzer–Ohkitani–Yamada (GOY) model and the Sabra model. Up to conjugacy classes, we classify all possible GOY-type and Sabra-type models. We numerically approximate the scaling exponents for the newly identified models and develop their mathematical well-posedness.
Recommended Citation
Ho, Austin, "On a Classification of GOY/Sabra-Type Shell Models of Turbulence" (2026). CUNY Academic Works.
https://academicworks.cuny.edu/hc_sas_etds/1578
Included in
Fluid Dynamics Commons, Non-linear Dynamics Commons, Numerical Analysis and Computation Commons, Ordinary Differential Equations and Applied Dynamics Commons
