Politecnico di Milano
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Semester (Sem)
1First Semester
2Second Semester
AAnnual course
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BIdentifying activities
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Course Details

Academic Year 2014/2015
School School of Industrial and Information Engineering
Name (Master of Science degree)(ord. 270) - MI (403) Mathematical Engineering
Track MSC - Scienze computazionali per l'ingegneria
Programme Year 2

Course Details
ID Code 088928
Course Type Mono-Disciplinary Course
Credits (CFU / ECTS) 8.0
Semester Second Semester
Course Description "Dynamical systems (revise) . Phase space, equilibrium and stability, bifurcations and limit cycles: applications in chemical kinetics and population dynamics. Reaction-diffusion equations. Qualitative analysis, travelling fronts, travelling waves. Applications in electric signalling and cell polarization. Stability in mechanics of continuous media. Fourier analysis (revise) and definitions of stability for a continuum medium. Linear stability analysis in finite elasticity (buckling) and fluid dynamics (Kelvin-Helmholtz instability). Applications to reaction -diffusion equations, Turing instability and pattern formation. Introduction to inverse problems, Tichonov regularization. Applications in material characterization, domain definition, boundary conditions and sources. Radon transform and related applications. Viscoelastic materials. Time derivative of a tensor. Linear lumped parameter models for and generalization to general constitutive equations. Fiber reinforced materials. Plasticity (sketch). Application to biological tissues. Mixtures theory. Volume fraction, saturation constraint, partial stress tensors, boundary conditions. porosity and permeability. Darcy equation. Applications of the theory to the growth of cellular populations and drug diffusion in tissues."
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19/04/2019 Area Servizi ICT v. 2.11.10 / 2.11.10