Solutions of higher-order models for water waves

• Grant number: 19/19491-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 29, 2019
• End date: November 28, 2019
• 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
• City of the host institution: Campinas

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 nonliner dispersive equations. Specially, we will focus our study on the recenly derived fifth order KdV-BBM type model (see the article of Bona, Carvajal, Panthee & Scialom in the bibliografy [4] of the project).This sort of problems are interesting not only from the mathematical point of view, because as described in the specialized literature, in general, they are models appearing to describe the physical phenomena (mainly the long wave models).During the visit, Professor Bona will give a lecture in Differential Equations Seminar at the Department of Mathematics and he will also offer two talks on "New trents on the reserch of dispesive equations". (AU)