Linear and Weakly Non-Linear Differential Equations in Physics
Lineare und schwach nichtlineare Differentialgleichungen in der Physik
6 LPunregelmäßigENwird nicht mehr angeboten
Voraussetzungen
Empfohlen, im Wortlaut
• Knowledge of theoretical physics (level Bachelor studies) • Firm knowledge in analysis and linear algebra
Inhalte
Differential equations in mechanics, hydrodynamics, and nonequilibrium chemistry. Linear and nonlinear diffusion equation, complex Ginzburg-Landau equation, Swift-Hohenberg equation. Methods: linear stability analysis, normal forms, Turing and Hopf instabilities
Lernziele
After successfully completing the module, students have a profound knowledge of using and solving of ordinary and partial differential equations in physics. They are able to formulate model equations and solving them independently. Additionally the module supported synergetic connections to other fields (interdisciplinarity).
Prüfungsleistung
Prerequisite: • Successful completion of exercise assignments (75% must be reached)Final module examination: • Oral examination, 30-45 min.
Literatur (4)
- Guckenheimer, Holmes: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- H. Haken: Synergetik
- J. Argyris: Die Erforschung des Chaos
- M. Bestehorn: Hydrodynamik und Strukturbildung
Bemerkungen
• Study programme Physics M.Sc.: Compulsory elective module in complex „Physical Specialization with theoretical focus“, topic area „Theory, Simulation and further topics“ • Study programme Applied Mathematics M.Sc.: Compulsory elective module in complex „Applications“, field „Physics“ Self organised studies: • re-work of the lecture • treatment of homework • literature work
Quelle: Modulbeschreibung der BTU · abgerufen 16.10.2026Original