Course Content:
 Derivation of the governing equations: Euler and NavierStokes
 Eulerian and Lagrangian description of fluid motion; examples of fluid flows
 Vorticiy equation in 2D and 3D
 Dimensional analysis: Reynolds number, Mach Number, Frohde number.
 From compressible to incompressible models
 Fluid dynamic modeling in various fields: combustion, astrophysics, biofluids.
 Existence of solutions for viscid and inviscid fluids
Detailed course program: Click here
Prerequisites:
Basic notions of functional analysis, functions of complex values, standard properties of the heat equation, wave equation, Laplace and Poisson's equations.
Text books:
 Franck Boyer, Pierre Fabrie Mathematical Tools for the Study of the Incompressible NavierStokes Equations and Related Models, Springer.
 Andrea Bertozzi, Andrew Majda Vorticity and Incompressible Flow, Cambridge University Press.
 Roger M. Temam, Alain M. Miranville, Mathematical Modeling in Continum Mechanics, Cambridge University Press.
 Alexandre Chorin, Jerrold E. Marsden, A Mathematical Introduction to Fluid Mechanics, Springer Verlag.
Exam:
written exam
Exam dates:
Written exam: January 15, 2019 at 14:00, room A0.4 Blocco 0registration January 16, 2019 at 14:00
Written exam: January 30, 2019 at 9:00, room A0.4 Blocco 0registration January 30, 2019 at 14:00
Written exam: February 19, 2019 at 14:00, room A0.4 Blocco 0registration February 20, 2019 at 12:30
Office hours:
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