Stable and Unstable Shock Formation of the Burgers-Hilbert Equation

The study of singularities has been an important part in the analysis of PDEs. One key type of singularities is shock. In many cases the shock has a self-similarity structure. Recently, the modulated self-similarity technique has achieved success in fluid dynamic equations. In this thesis, we apply...

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Bibliographic Details
Main Author: Yang, Ruoxuan
Other Authors: Staffilani, Gigliola
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/144811