Lectures

Temporary plan - major changes may be made


Week Theme Home Work Remarks
34 Introduction
Dimensionsional analysis
Flow in pipe ”Moody Diagram”
Exercise 1
35 Summary of Dimensional Analysis
Scaling
Example: Falling bullet
Regular perturbation
Exercise 1-2
36 The projectile problem
Kidney modeling
Flo-Jo's 100m world record
Exercise 2-3 Self-study: Slides on kidney modeling
37 Singular perturbation
Chemical reaction kinetics
Exercise 3
38 Stability and bifurcations
Chemotaxis of amoeba
Quenching-reactor
Exercise 4 Self-study 1: Kreyszig (9th edition) chp. 4.3-4.5 (3.3-3-5 in 8th ed.)
Self-study 2: Slides on quenching reaction
39 The logistic equation
the world population
Competition for resources
Lotka-Volterra models
Exercise 4 - 5 Problem sessions at F2:
1. Monday (27.09.) 17:15-18:00
2. Friday (03.10.) 14:15-15:00

I will be in Oslo, Harald Krogstad will replace me
40 Conservation principles
1d conservation laws
1st order PDEs
Method of characteristics
Exercise 5 - 6 Notes:
On the method of characteristics
Solution of first order PDEs
Endimensjonale konserveringslover
41 Traffic modelling
Boundary value problems for conservation laws
Traffic: "Green wave"
Exercise 7 Note:
Boundary value problems for conservation laws
42 End of "Green Wave"
Conservation laws in mechanics
Exercise 8
43 Flood waves in river
Diffusion, properties
Exercise 9
44 Nuclear power plant
MODELING PROJECT
45 MODELING PROJECT
46 MODELING PROJECT
Presentations
47 Old exams
2010-10-29, Espen Robstad Jakobsen