Blow-Up Solutions of Wave Map Equations with Periodic in Time Speed of Propagation

Author

Nathalie M. Luna-Rivera, The University of Texas Rio Grande Valley

Date of Award

12-2018

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Karen Yagdjian

Second Advisor

Dr. Anahit Galstyan

Third Advisor

Dr. John Villavert

Abstract

We study the initial value problem for the wave map equation with time-dependent speed of propagation. In particular, for arbitrary, small, and smooth initial data we construct blow-up solutions of the wave map with coefficients that are periodic in time. For the proof we use Lyapunov-Floquet theory and Borg’s theorem.

Comments

Copyright 2018 Nathalie M. Luna-Rivera. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/blow-up-solutions-wave-map-equations-with/docview/2177357481/se-2?accountid=7119

Recommended Citation

Luna-Rivera, Nathalie M., "Blow-Up Solutions of Wave Map Equations with Periodic in Time Speed of Propagation" (2018). Theses and Dissertations. 500.
https://scholarworks.utrgv.edu/etd/500