| Grant number: | 23/06416-6 |
| Support Opportunities: | Regular Research Grants |
| Duration: | September 01, 2023 - August 31, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Mahendra Prasad Panthee |
| Grantee: | Mahendra Prasad Panthee |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
In this project we are interested in considering some topics taht appear in the theory to describe some nonlinear phenomena. Generally this sort of phenomenoa are modeled my the evolution equations of dispersive type. Some of the main models that appear in this context are the nonlinear Schrodinger equation (NLS), Korteweg-de Vries equation (KdV), Benjamin-Ono equations, Intermediate long wave (ILW) equation and systems involving these equations. Our principal objective in this project is the study the initial value problems (IPV)associated to dispersie models. More precisely, we study the local and global existence, controllability, stabilization, stability of solitary wave solutions, analyticity of solutions and unique continuation property (UCP) of solutions and their generalization. (AU)
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