Learning outcomes of the course unit
Investigation tools at mesoscopic level, foundation of thermo-fluid-dynamics, modelling of complex phenomena.
Mathematical analysis, geometry and mechanics of the first two years of an undergraduate course in Mathematics
Course contents summary
Kinetic theory, distribution function, Boltzmann equation. Collision operator, collision invariants, Maxwellian distributions. Entropy functionals and second law of thermodynamics. Hydrodynamic limit, Euler and Navier-Stokes equations. Extension to gas mixtures and to other kinetic approaches in the applied sciences.
C. CERCIGNANI, Theory and applications of the Boltzmann equation, SPRINGER, New York.
S. CHAPMAN, T.G.COWLING, The mathematical theory of nonuniform gases, UNIVERSITY PRESS, Cambridge.
M. N. KOGAN, Rarefied gas dynamics, PLENUM PRESS, New York.
Assessment methods and criteria
Final interview and oral examination