The Jormungand Climate Model

Bibliographic Details
Main Author:	Rackauckas, Christopher V.
Language:	English
Published:	Oberlin College Honors Theses / OhioLINK 2013
Subjects:	Climate Change Mathematics Dynamical Systems Mathematical Climatology Snowball Earth Geometric Singular Perturbation Theory Legendre Polynomials Jormungand State Fast-Slow Systems Numerical Simulations Hysteresis Ice-Albedo Feedback Budkyo-Widiasih Model
Online Access:	http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1368151558

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spelling	ndltd-OhioLink-oai-etd.ohiolink.edu-oberlin13681515582021-08-03T05:23:42Z The Jormungand Climate Model Rackauckas, Christopher V. Climate Change Mathematics Dynamical Systems Mathematical Climatology Snowball Earth Geometric Singular Perturbation Theory Legendre Polynomials Jormungand State Fast-Slow Systems Numerical Simulations Hysteresis Ice-Albedo Feedback Budkyo-Widiasih Model The geological and paleomagnetic record indicate that around 750 million and 580 millions years ago glaciers grew near the equator, though as of yet we do not fully understand the nature of these glaciations. The well-known Snowball Earth Hypothesis states that the Earth was covered entirely by glaciers. However, it is hard for this hypothesis to account for certain aspects of the biological evidence such as the survival of photosynthetic eukaryotes. Thus the Jormungand Hypothesis was developed as an alternative to the Snowball Earth Hypothesis. In this paper we investigate previous models of the Jormungand state and look at the dynamics of the Hadley cells to develop a new model to represent the Jormungand Hypothesis. We end by solving for an analytical approximation to the model using a finite Legendre expansion and geometric singular perturbation theory. The resultant model gives a stable equilibrium point near the equator with strong hysteresis that satisfies the Jormungand Hypothesis. 2013-07-11 English text Oberlin College Honors Theses / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1368151558 http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1368151558 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection	NDLTD
language	English
sources	NDLTD
topic	Climate Change Mathematics Dynamical Systems Mathematical Climatology Snowball Earth Geometric Singular Perturbation Theory Legendre Polynomials Jormungand State Fast-Slow Systems Numerical Simulations Hysteresis Ice-Albedo Feedback Budkyo-Widiasih Model
spellingShingle	Climate Change Mathematics Dynamical Systems Mathematical Climatology Snowball Earth Geometric Singular Perturbation Theory Legendre Polynomials Jormungand State Fast-Slow Systems Numerical Simulations Hysteresis Ice-Albedo Feedback Budkyo-Widiasih Model Rackauckas, Christopher V. The Jormungand Climate Model
author	Rackauckas, Christopher V.
author_facet	Rackauckas, Christopher V.
author_sort	Rackauckas, Christopher V.
title	The Jormungand Climate Model
title_short	The Jormungand Climate Model
title_full	The Jormungand Climate Model
title_fullStr	The Jormungand Climate Model
title_full_unstemmed	The Jormungand Climate Model
title_sort	jormungand climate model
publisher	Oberlin College Honors Theses / OhioLINK
publishDate	2013
url	http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1368151558
work_keys_str_mv	AT rackauckaschristopherv thejormungandclimatemodel AT rackauckaschristopherv jormungandclimatemodel
_version_	1719419764771651584

The Jormungand Climate Model

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