Higher order models for waves in nonlinear, dispersive media

• Grant number: 16/01544-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: May 17, 2016
• End date: June 17, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcia Assumpcao Guimaraes Scialom
• Grantee: Marcia Assumpcao Guimaraes Scialom
• Visiting researcher: Jerry Loyd Bona
• Visiting researcher institution: University of Illinois at Chicago (UIC), United States
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This research project is prepared for the visit of Professor Jerry Bona from Univeristy of Illinois at Chigago. We are interested in continuing our earlier work that consists of studying the problems related to the existence and other properties of solutions of the higher order nonlinear dispersive equations. Specially, we will focus our study on the recently derived fifth order KdV-BBM type model (see the article of Bona, Carvajal, Panthee & Scialom in the bibliografy [1] of the project). During the visit, Professor Bona will give a lecture in Differential Equations Seminar at the Department of Mathematics and will also offer a mini-course of 3 days duration entitled "Novos desafios na pesquisa das equações diferenciais parciais não lineares do tipo dispersivo", from 23 to 27 May 2016. (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)

BONA, J. L.; CARVAJAL, X.; PANTHEE, M.; SCIALOM, M.. Higher-Order Hamiltonian Model for Unidirectional Water Waves. JOURNAL OF NONLINEAR SCIENCE, v. 28, n. 2, p. 543-577, APR 2018. (16/01544-2, 16/25864-6, 12/23054-6)