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Nonlinear dispersive wave models


In this project we consider nonlinear evolution equations of dispersive type. Our principal objective is the study of the Acauchy problems associated to dispersive 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. The main models considered in this project are the nonlinear Schrödinger equation (NLS), Korteweg-de Vries equation (KdV), Benjamin-Ono equations, Intermediate long wave (ILW) equation and systems involving these equations. We will consider these models posed in euclidean domains as well as in Riemannian manifolds. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:

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)
NOGUEIRA, MARCELO; PANTHEE, MAHENDRA. Local well-posedness for the quadratic Schrodinger equation in two-dimensional compact manifolds with boundary. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, JUL 2021. Web of Science Citations: 0.

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