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Mathematical Methods in Climate Science

Oggetto:

Mathematical Methods in Climate Science

Oggetto:

Academic year 2016/2017

Teacher
Prof. Juergen Vollmer (Lecturer)
Type
--- Nuovo Ordinamento ---
Course disciplinary sector (SSD)
MAT/07 - fisica matematica
Delivery
Tradizionale
Language
Italiano
Oggetto:

Sommario del corso

Oggetto:

Program

The key problem of climate science is the characterization of the response of the solutions of a complex non-linear system of differential equations to changes of control parameters, and external or parameter noise. We will discuss main ingredients of climate model – by starting from a minimal model and adding complexity.  e participants will hence learn how to build a model for a complex process, about smooth change of solutions (linear response), the impact of feedback on stability, and the emergence of runaway changes in multistable systems.

Suggested readings and bibliography



Oggetto:

Note

Mathematical Methods in Climate Science

 

Abstract

The key problem of climate science is the characterization of the response of the solutions of a complex non-linear system of differential equations to changes of control parameters, and external or parameter noise. We will discuss main ingredients of climate model – by starting from a minimal model and adding complexity. The participants will hence learn how to build a model for a complex process, about smooth change of solutions (linear response), the impact of feedback on stability, and the emergence of runaway changes in multistable systems.



Preliminary Schedule

 

1

 

Introduction

2

 

Global Energy Balance

3

 

Atmosphere: Green-House Effect

4

 

Atmosphere: Large-Scale Convection

5

 

Atmosphere-Ocean Coupling: Thermohaline Steps

6

 

Ocean: Large-Scale Convection, Continental Barriers, Ice Ages

7

 

Milankovitch cycles, Sowball Earth

8

 

The Geological Cycle

9

 

Clouds

10

 

The Human Impact

Exam/ Symposium

 

 

 

 

The Lectures Series will be take place in spring 2017.

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