PřF:M9150 Partial Differential Equations - Course Information
M9150 Partial Differential Equations II
Faculty of ScienceAutumn 1999
- Extent and Intensity
- 2/1/0. 5 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Martin Kolář, Ph.D. (lecturer)
- Guaranteed by
- doc. RNDr. Martin Kolář, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Martin Kolář, Ph.D. - Prerequisites (in Czech)
- M8110 Partial Differential Equations I
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematics (programme PřF, M-MA, specialization Mathematical Analysis)
- Mathematics (programme PřF, N-MA, specialization Mathematical Analysis)
- Syllabus
- 1. Modern methods - Sobolev spaces of generalized functions - Weak formulation of elliptic problems - Lax-Milgram lemma and existence of solutions - Variational formulation of elliptical problems - Ritz-Galerkin method - Monotone operators 2. Navier-Stokes equations - Examples of exact solutions - Vorticity, vorticity equation - Leray's formulation - Properties of 2-D flows - Beltrami flow
- Literature
- ARSENIN, Vasilij Jakovlevič. Metody matematičeskoj fiziki i special'nyje funkcii. 2. perer. i dop. izd. Moskva: Nauka, 1984, 382 s. info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught every week.
- Enrolment Statistics (Autumn 1999, recent)
- Permalink: https://is.muni.cz/course/sci/autumn1999/M9150