Applied Mathematics, 8.0 credits

Applied Mathematics, 8.0 hp

MAI0135

Course level

Third-cycle Education

Description

Contact the examiner if interested.

Current and recently held PhD courses at the Department of Mathematics can be found here: https://liu.se/artikel/doktorandkurser-vid-matematiska-institutionen

Contact

Entry requirements

Analysis, ODE and PDE are desirable.

Contents

Mathematical biology, Lotka-Volterra systems, persistence, permanence and stability; the Stokes and Navier-Stokes systems, formulation and solvability results; elasticity theory, the Lame system, Korn’s inequality, solvability results; asymptotic methods in applied mathematics: dimension reduction and homogenization; inverse problems: a basic theory with examples.

Educational methods

Lectures.

Examination

Solving assigned problems.

Grading

One-grade scale

Course literature

Lecture notes for all lectures will be available.

Supplementary reading:

  1. Hofbauer, Josef; Sigmund, Karl Evolutionary games and population dynamics. Cambridge University Press, Cambridge, 1998. xxviii+323 pp.
  2. Engl, Heinz W.; Hanke, Martin; Neubauer, Andreas Regularization of inverse problems. Mathematics and its Applications, 375. Kluwer Academic Publishers Group, Dordrecht, 1996. viii+321 pp.
  3. Sánchez-Palencia, Enrique Nonhomogeneous media and vibration theory. Lecture Notes in Physics, 127. Springer-Verlag, Berlin-New York, 1980. ix+398 pp.