On a differential inclusion related to the Born-Infeld equations

2012/01/20 by Stefan Müller, Müller, Stefan, Mariapia Palombaro +1
Mathematics · #35L65 #49J45 #49K21 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L65 #msc:49J45 #msc:49K21

paper · pdf · doi:10.48550/arxiv.1201.4244

arxiv created 2013/08/10 · arxiv updated 2013/08/13

Abstract

We study a partial differential relation that arises in the context of the Born-Infeld equations (an extension of the Maxwell's equations) by using Gromov's method of convex integration in the setting of divergence free fields.

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