M9150 Partial Differential Equations II

Faculty of Science
Autumn 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.
The course is also listed under the following terms Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Spring 2005, Spring 2007, Spring 2009.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/M9150