Vincent Lescarret

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We develop finite difference numerical schemes for a model arising in multi-body structures, previously analyzed by H. Koch and E. Zuazua [13], constituted by two n-dimensional wave equations coupled with a (n− 1)-dimensional one along a flexible interface. That model, under suitable assumptions on the speed of propagation in each media, is well-posed in(More)
The propagation of modulated light in a 2d nonlinear photonic waveguide is investigated in the framework of diffractive optics. It is shown that the dynamics obeys a nonlinear Schrödinger equation at leading order. We compute the first and second corrector and show that the latter may describe some dispersive radiation through the structure. We prove the(More)
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