Physics | University of Parma

Professor
Academic discipline: Fisica matematica (MAT/07)
Field: Attività formative affini o integrative
Type of training activity: Related/supplementary

60 hours
of face-to-face activities

6 credits

hub: PARMA

course unit
in - - -

lectures timetable unavailable

exam calls

Learning objectives

Investigation tools at mesoscopic level, foundation of thermo-fluid-dynamics, modelling of complex phenomena.

Prerequisites

Mathematical analysis, geometry and mechanics of the first two years of an undergraduate course in Mathematics

Course unit content

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.

Full programme

- - -

Bibliography

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.

Teaching methods

Classroom lectures

Assessment methods and criteria

Final interview and oral examination

Other information