A qualitative study of solutions to some water wave models

• Grant number: 22/05646-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 11, 2022
• End date: August 10, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Mahendra Prasad Panthee
• Grantee: Mahendra Prasad Panthee
• 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
• Associated research grant: 19/02512-5 - Systems and partial differential equations, AP.TEM

Abstract

This project describes the topics that we want to study during the visit of Professor Jerry Bona from University of Illinois at Chicago, USA. The main objectives are to control the potential blow-up solution to the generalized KdV type equations and comparison of solutions to the higher-order water wave model posed on real line to that posed on a periodic domain. Also, we propose to organize a mini-course composed of 3 lectures during the visit. (AU)