The course aims to provide an introduction to foundations of continuum mechanics with applications to fluid mechanics and a presentation of the most common partial differential equations (PDE) and their solution techniques.
The unit deals with the most important partial differential equations through their most important mathematical physical in the pleasure of craft sector.
Active participation in lectures and individual study will enable the student to:
-learn the main fundamentals of continuum mechanics;
- be able to classify the main partial differential equations;
- calculate the analytical solution of some problems related to partial differential equations of elliptic, parabolic and hyperbolic types;
prerequisites of the course are: linear algebra, geometry, mathematical analysis and rational mechanics.
The module is based on theoretical lessons.
1. Introduction to continuum mechanics
2. Kinematics and dynamics of marine craft
3. Added mass theory
4. Introduction to partial differential equations (PDE). Classification and normal form. Elliptic, hyperbolic and parabolic PDE.
5. Series and Fourier transform.
6. Elliptic equations. The harmonic functions. Dirichlet and Neumann boundary conditions. Resolution of some related problems
7. Parabolic differential equations. The diffusion and heat equations. Resolution of some related problems.
8. Hyperbolic equations. The equation of D'Alembert. The method of characteristics. Resolution of some related problems.
Ricevimento: Thursday from 14,30 to 16,30, in the teacher's office (Via all'Opera Pia 15).
STEFANO VIGNOLO (President)
ROBERTO CIANCI
MARCO GAIOTTI
https://corsi.unige.it/9268/p/studenti-orario
The examination mode consists of an oral test to verify learning of the course content.
The assignment of the exam grade will take into account: knowledge and understanding of the covered topics, ability and clarity of exposition, ability to solve problems related to the covered topics
