Course - Non-Linear Hyperbolic Conservation Laws - MA8103
MA8103 - Non-Linear Hyperbolic Conservation Laws
Lessons are not given in the academic year 2020/2021
The course is given every other year, assuming enough students sign up for the course. Next time is Spring 2022. If not enough students register for the course, it will be given as a "ledet selvstudium".
Fundamental mathematical and numerical properties for conservation laws include: Existence of solutions, shock solutions, entropy conditions, Rankine-Hugoniot condition. Numerical techniques include front tracking, finite difference methods, Riemann solvers, and Gimm's method. Applications to gas dynamics and petroleum reservoirs will be discussed.
The course covers fundamental mathematical and numerical properties for conservation laws, in particular: Existence of solutions, shock solutions, entropy conditions, Rankine-Hugoniot condition. Numerical techniques include front tracking, finite difference methods, Riemann solvers, and Gimm's method
The students should be able to handle problems and conduct researches on nonlinear partial differential equations and their applications, in particular applications to gas dynamics and petroleum reservoirs as well as to other applied disciplines
The students should be able to participate in scientific discussions and conduct researches on high international level as well as collaborate in joint interdisciplinary researches.
Learning methods and activities
Lectures, possibly guided self-study.
Recommended previous knowledge
The course assumes knowledge corresponding to Matematikk 1-4. The course TMA4305 (Partial Differential Equations) is an advantage.
H. Holden, N. H. Risebro: Front Tracking for Hyperbolic Conservation Laws, Springer 2015.
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"