Self-similar singularity formation and wellposedness theory for compressible fluids and dispersive PDE

In this thesis, we study different problems related to singularity formation and local wellposedness of fluid equations and dispersive PDE. Regarding singularity formation, we construct radially symmetric smooth selfsimilar profiles for the compressible Euler equations which exhibit an implosion typ...

Full description

Bibliographic Details
Main Author: Cao Labora, Gonzalo
Other Authors: Staffilani, Gigliola
Format: Thesis
Published: Massachusetts Institute of Technology 2024
Online Access:https://hdl.handle.net/1721.1/157346