Advanced search
Start date

Nonlinear phenomena and dispersion


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)

Articles published in Agência FAPESP Newsletter about the research grant:
Articles published in other media outlets (0 total):
More itemsLess items

Please report errors in scientific publications list using this form.