Please use this identifier to cite or link to this item:
|Title:||Well-Posedness of a Nonlinear Wave Equations in Characteristic Coordinates|
|Abstract:||<p>We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space H^2. Our analysis relies on local well-posedness results of Schafer and Wayne, the correspondence of the short-pulse equation to the sine-Gordon equation in characteristic coordinates, and conserved quantities of the short-pulse equation. We perform numerical computations to illustrate this result. We also prove local and global well-posedness of the sine-Gordon equation in an appropriate vector space.</p>|
|Description:||Title: Well-Posedness of a Nonlinear Wave Equations in Characteristic Coordinates, Author: Anton Sakovich, Location: Thode|
|Appears in Collections:||Digitized Open Access Dissertations and Theses|
Files in This Item:
|Sakovich_Anton_2009_01_master.pdf||Title: Well-Posedness of a Nonlinear Wave Equations in Characteristic Coordinates, Author: Anton Sakovich, Location: Thode||15.54 MB||Adobe PDF||View/Open|
Items in MacSphere are protected by copyright, with all rights reserved, unless otherwise indicated.