Lecture 1:

题  目：  Light-matter coupling, and the Geometric Optics approximation (1)

报告人：Eric Dumas, Institut Fourier, Universite de Grenoble.

摘  要：We shall introduce the Maxwell equations describing the time evolution of the electromagnetic field, together with some models of coupling with matter.  In a high-frequency regime, different scales appear, and the Geometric Optics framework allows to describe the linear and weakly nonlinear evolution, using Brillouin-Kramers-Wentzel expansions.

时  间：2018.7.18，10:00-12:00am

地  点：蒙民伟楼1105

Lecture 2:

题  目：  Light-matter coupling, and the Geometric Optics approximation (2)

报告人：Eric Dumas, Institut Fourier, Universite de Grenoble

摘  要：  We shall state rigorously the weakly nonlinear Geometric Optics approximation,  relying on the introduction of the eikonal equation,  polarization condition and transport equation.

时  间：2018.7.19，10:00-12:00am

地  点：蒙民伟楼1105

Lecture 3:

题  目： Diffractive optics and the Schrödinger equation
 

报告人： Eric Dumas, Institut Fourier, Universite de Grenoble.

摘  要：When looking at the evolution in longer times, diffractive effects  show up, which are described by nonlinear Schrödinger equations (NLS).

 

时  间：2018.7.20，10:00-12:00am

地  点：蒙民伟楼1105.

Lecture 4:

题  目： Passing through singularities for Diffractive optics and the Schrödinger equation

报告人：Eric Dumas, Institut Fourier, Universite de Grenoble.

摘  要： The solutions to focusing NLS may blow-up in finite time. We will investigate the meaning of these singularities at the level of the true solutions to Maxwell's equations. 

时  间：2018.7.23，10:00-12:00am

地  点：蒙民伟楼1105

Lecture 5:

题  目：  More on some NLS models

报告人： Eric Dumas, Institut Fourier, Universite de Grenoble.

摘  要：We shall address the question of global weel-posedness for various models of NLS obtained from Maxwell's equations.

时  间：2018.7.24，10:00-12:00am

地  点：蒙民伟楼1105

邀请人：吕勇 老师