EQUAZIONI DIFFERENZIALI DELLA FISICA MATEMATICAAcademic Year 2021/2022 - 1° Year
Credit Value: 6
Scientific field: MAT/07 - Mathematical physics
Taught classes: 35 hours
Exercise: 12 hours
Term / Semester: 1°
1. Give the basic elements of the partial differential equations of mathematical physics.
2. Understanding of physical phenomena governed by partial differential equations; Construction of mathematical models: equations of the waves, heat, Laplace equation.
3. Understanding of the different solution methods: why it has been proposed a solution method? What are some other alternative methods? Understanding how the analytical solutions obtained are interpreting the physical real situations (wellposedness of the models or paradoxes).
4. It will be privileged the undertsnding the physical part, the models and their analytical solution.
Lectures and exercises done by students at home and in class.
Should teaching be carried out in mixed mode or remotely, it may be necessary to introduce changes with respect to previous statements, inline with the programme planned and outlined in the syllabus.
Detailed Course Content
Partial differential equations of mathematical physics.
Laplace's equation and Poisson.
 M.M. SMIRNOV, Second-Order partial differential equations, ed. Noordhoff.
 F.JOHN, Partial differential equations, Springer-Verlag.
 V.I. SMIRNOV, Corso di matematica superiore II, Editori Riuniti.
 N.S.KOSHLYAKOV, M.M.SMIRNOV, E.B.GLINER, Differential equations of mathematical physics, ed. North-Holland.