Modelling with PDEs
Additional Info
- ECTS credits: 6
- University: Vienna University of Technology
- Semester: 3
- Lecturer 1: A. Arnold
- Lecturer 2: M. Melenk
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Objectives:
Introduction to several applied differential equation models: discussion of modelling, analytic and numerical aspects.
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Topics:
Fluid dynamical models (Euler, Navier-Stokes, vortex models), traffic flow models, theory of elasticity, hyperbolic conservation laws, nonlinear waves (KdV, solitons, invers scattering theory), image processing models (nonlinear diffusion filter, shock filter), models for pattern formation (reaction-diffusion equations, Turing instability), evolution of thin films.
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