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 |