(Spectral)-Nonlinear stability of periodic wavetrains for a modified sine-Gordon equation

• Grant number: 15/12543-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: September 30, 2015 - October 20, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Jaime Angulo Pava
• Grantee: Jaime Angulo Pava
• Visiting researcher: Ramón Gabriel Plaza Villegas
• Visiting researcher institution: Universidad Nacional Autónoma de México, Coyoacán (UNAM), Mexico
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The purpose of this academic visit to the Department of Mathematics of the University of Sao Paulo, from October 1st. thru 20th, 2015, is to continue investigations with Prof. Jaime Angulo Pava on the orbital stability of periodic wavetrains for non-linear wave equations of sine-Gordon type. In addition, Prof. Plaza will deliver a series of three lectures on the spectral stability of periodic wavetrains for the nonlinear Klein-Gordon equation. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ANGULO PAVA, JAIME; PLAZA, RAMON G.. Transverse Orbital Stability of Periodic Traveling Waves for Nonlinear Klein-Gordon Equations. STUDIES IN APPLIED MATHEMATICS, v. 137, n. 4, p. 473-501, NOV 2016. (15/12543-4)