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

We consider a simple model for the assembly of chiral molecules in two dimensions driven by maximization of the contact area. We derive a macroscopic model described by a parameter taking nine possible values corresponding to the possible minimal microscopic patterns and modulated phases of the chiral molecules. We describe the overall behaviour by means of… (More)

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