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16 papers · 1 filter
Self-adjoint indefinite Laplacians
Claudio Cacciapuoti, Konstantin Pankrashkin, Andrea Posilicano
Let and be two bounded smooth domains in , , separated by a hypersurface . For , consider the function . We discuss…
Existence of guided waves due to a lineic perturbation of a 3D periodic medium
Bérangère Delourme, Patrick Joly, Elizaveta Vasilevskaya
In this note, we exhibit a three dimensional structure that permits to guide waves. This structure is obtained by a geometrical perturbation of a 3D periodic domain that consists o…
Discrete spectrum of interactions concentrated near conical surfaces
Thomas Ourmières-Bonafos, Konstantin Pankrashkin
We study the spectrum of two kinds of operators involving a conical geometry: the Dirichlet Laplacian in conical layers and Schrödinger operators with attractive -interactions s…
Relativistic electron beams driven by kHz single-cycle light pulses
D. Guénot, D. Gustas, A. Vernier +8
Laser-plasma acceleration is an emerging technique for accelerating electrons to high energies over very short distances. The accelerated electron bunches have femtosecond duration…
Control of nonlinear switched systems based on validated simulation
Adrien Le Coënt, Julien Alexandre Dit Sandretto, Alexandre Chapoutot +1
We present an algorithm of control synthesis for nonlinear switched systems, based on an existing procedure of state-space bisection and made available for nonlinear systems with t…
Perfect transmission invisibility for waveguides with sound hard walls
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Sergei A. Nazarov
We are interested in a time harmonic acoustic problem in a waveguide with locally perturbed sound hard walls. We consider a setting where an observer generates incident plane waves…