Dynamical Systems Seminar

Derivation and Analysis of Mathematical Models

-- Spring 2016 --



Thursdays, 13.45--15.30, room 176 (Snellius)



date title speaker material
Feb 18 Introduction to the analysis of nonlinear waves Martina -
March 3 Introduction on the stability theory for travelling waves Björn -
March 17 Traffic Flows Elise -
March 31 Algebraic stability Hermen Jan -
April 7 Solitary water waves of the Korteweg-de Vries equation Mara -
May 19 Traveling waves in nonlinear diffusion equations Mila -
May 26 Waves with transition layers Sibel -



Literature:
* Traffic flow: "Introduction to the Foundations of Applied Mathematics" M.H. Holmes (Ch. 5)
* Fluid flow: "Introduction to the Foundations of Applied Mathematics" M.H. Holmes (Ch. 9)
* Traveling waves in the KdV and Sine-Gordon equation: "Introduction to the Mathematical Theory of Waves" R. Knobel (Ch. 4,5,6)
* Biological waves: "Mathematical Biology" J.D. Murray
* Water waves and the Korteweg-de Vries equation: "Solitons: an introduction" P.G. Drazin
* Waves with transition layers: "Patterns and Waves" P. Grindrod