Vai al contenuto principale Vai al footer
Università degli Studi di Parma Università degli Studi di Parma
Second cycle degree course in
Mathematics
Università degli Studi di Parma
Department of Mathematical, Physical and Computer Sciences

KINETIC THEORY
cod. 1001076

Academic year 2011/12
2° year of course - First semester
Professor
Giampiero SPIGA
Academic discipline
Fisica matematica (MAT/07)
Field
Formazione modellistico-applicativa
Type of training activity
Characterising
90 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in - - -
lectures timetable unavailable
exam calls
Print

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.Kinetic approach to other problems in the applied sciences, probabilistic formulation.

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

- - -

2030 agenda goals for sustainable development

- - -