italian version

Aims :

To impart the main analytic tools for studying differential models concerning some applications to Environmental Engineering.

Topics :

Partial Differential Equations: general concepts and classification into parabolic, hyperbolic and elliptic equations.
The Heat Equation: heuristic derivation, mathematical aspects, boundary conditions, analytic solutions. The Drift-Diffusion Equation: heuristic derivation, mathematical aspects, boundary conditions, analytic solutions. The Laplace Equation: mathematical aspects, solutions under Dirichlet and Neumann boundary conditions. Examples and applications to Environmental Engineering.

Textbooks :

F. JOHN , Partial Differential Equations, Applied Mathematical Sciences vol. 1, Springer Verlag, New York, 1986.
J. CRANK , Mathematics of Diffusion, Oxford Science Publications.

Exam :

The exam consist in an oral exam concerning the topics of the course.

Tutorial Session :

two hours per week scheduled in accordance with students.