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MAI0135
Applied Mathematics

Number of credits: 8 hp

Examiners: Vladimir Kozlov, Sergei Nazarov and Fredrik Berntsson

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.

Course 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.

Organisation: Lectures.

Examination: Solving assigned problems.

Prerequisites: Analysis, ODE and PDE are desirable.

Page manager: karin.johansson@liu.se
Last updated: 2022-11-15