Seminário de Análise e Equações Diferenciais

On short wave-long wave interactions in the relativistic context

Sala 6.2.33, Ciências ULisboa

Por Hermano Frid (IMPA, Rio de Janeiro).

In this talk we introduce models of short wave-long  wave interactions in the relativistic setting. In this context the nonlinear Schrödinger equation is no longer adequate for describing short waves and is replaced by a nonlinear Dirac equation. Two specific examples are considered: the case where the long waves are governed by a scalar conservation law; and the case where the long waves are governed by the augmented Born-Infeld equations in electromagnetism. This is a joint work with João Paulo Dias.

14h00
CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional