Tesi etd-01142025-182706 |
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Tipo di tesi
Tesi di laurea magistrale
Autore
MAZUR, NICOLA
URN
etd-01142025-182706
Titolo
Evolution Problems: A Non Archimedean approach
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Prof. Berselli, Luigi Carlo
relatore Prof. Benci, Vieri
relatore Prof. Benci, Vieri
Parole chiave
- First Order PDEs
- Ill posed problems
- Non Archimedean Fields
- Parabolic PDEs
Data inizio appello
21/02/2025
Consultabilità
Non consultabile
Data di rilascio
21/02/2065
Riassunto
This thesis treats some general techniques for the solution of Partial Differential Equations stemming from Non Standard Analysis and Numerical Analysis. In particular, existence theorems based on an infinitesimal formulation of the Method of Lines are given. The main examples treated in detail are the thermal conductivity equation in an anisotropic medium and the Burgers-Bateman equation from Fluid Dynamics. Moreover, some examples of ill-posed problems are analyzed in detail, the main example of which is the Burgers' equation with zero (or infinitesimal) viscosity.
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