Control Theory and Microlocal Analysis with Applications in Partial Differential Equations

CTMicrAAPDEs 

Codes:  MATH-AmSud 21MATH-03 /  CAPES 88881.520205/2020-01

Project Mission

The research project «Control Theory and Microlocal Analysis with Applications in Partial Differential Equations» (CTMicrAAPDEs) is composed of research teams from Brazil, Chile, Colombia, and France. This project is funded by the regional program MATH-Amsud in cooperation with CNRS (France), CAPES (Brazil), CMM (Chile), and MINCIENCIAS (Colombia).   


We aim to analyze diverse aspects in the study of dispersive equations under the scrutiny of microlocal analysis and other techniques, including some applications. As some partial differential equations appear in models for several physical phenomena, we plan to study well-posedness, control, and stabilization properties for Benney-Luke, Boussinesq KdV-KdV type systems which describe the propagation of bidirectional water waves, for Schrödinger on exterior domains which is a model of wave propagation in fiber optics and for biharmonic Schrödinger equation (or fourth order Schrödinger equation) on different domains which physically represents the propagation of intense laser beams.

scientific COORDINATORS

project duration

Partners

CLIMAT-AmSud, STIC-AmSud, and MATH-AmSud are regional scientific-technological cooperation programs in which Argentina, Brazil, Chile, Colombia, Ecuador, Paraguay, Peru, Uruguay, Venezuela, and France participate. Their objective is to promote and strengthen collaboration and the creation of research-development networks in the field of information and communication sciences and technologies (STIC) and in mathematics (MATH), through the implementation of projects sets.