Odense, Denmark

The Million Dollar Equation at the Heart of Astrophysics, Climate Physics and Mathematics (cancelled)

when 3 August 2020 - 14 August 2020
language English
duration 2 weeks
credits 5 EC

Due to the covid-19 outbreak, this course has been cancelled for 2020.

The aim of the course is to show the universal application of fluid dynamics in climate physics, astrophysics and sustainable energy technology. The mathematical foundation of and connection between the fluid dynamical description of systems like the climate and gravitational systems like galaxies and DM structures. Specifically the connection between Navier-Stokes equations and the Jeans equations and the mathematical Navier-Stokes Millenium Prize problem.

To make the student knowledgeable of the applications of fluid dynamics in research and industry within climate, energy technology and astrophysics which is of relevance to a broad spectrum of careers in physics.

The course builds upon the knowledge gained in the courses FT504 and FY546 (basic and intermediate level classical mechanics) and provides a foundation for advanced astrophysics such as FY825 - Galactic Dynamics and Dark Matter, or climate physics at graduate level as well as research topics.

Explicit focus is on
Providing the ability to apply physics to solve problems and address research topics in astrophysics, climate modelling and energy technology.
Critically investigate scientific models and provide skills in analyzing data.
Provide knowledge of the connection between the mathematical and physical description of phenomena across different scales such as the climate and astrophysics.
Provide knowledge of the mathematical and numerical challenges in fluid dynamics and gravitational systems.

The following main topics are contained in the course:

Fluid Dynamics and gravitational dynamics
The physics of climate systems and astrophysical systems
The mathematics of the Navier-Stokes and Jeans Equations and the Navier-Stokes Millenium Prize problem.
Fluid dynamics in energy technology and industry

Course leader

Mads Toudal Frandsen, frandsen@cp3.sdu.dk

Target group

Entry requirements:

Academic preconditions. Students taking the course are expected to have had:

An introductory classical mechanics course.
Basic introduction to vector algebra (gradient, divergence etc) and differential equations.
Basic physics knowledge corresponding to 2 years of bachelor studies in physics, math or similar.

Course aim

The learning objective of the course is that the student demonstrates the ability to:

Describe the role of fluid mechanics in the climate system and in energy technology
Identify applications of fluid mechanics and intuition from fluid mechanics to characterize astrophysical systems.
Understand and apply the mathematical formalism of the Jeans and Navier-Stokes equations.
Solve the Navier-Stokes equations in simple systems with application to climate models.
Characterize similarities and differences between collision less and collisional systems.

Fee info

EUR 0: Admission/Tuition:
NOTE: Exchange students from a partner university pay no tuition. Guest students pay tuition fees. Please read more: https://www.sdu.dk/en/Uddannelse/SDU_summer_school/Fees

NON-EU student: 8635 DKK per course (1160 Euro)

EU Students: 4250 DKK per course (570 Euro)