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This book is the third volume of three volume series recording the'Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment'taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments i
Autor:
Arpan Mukherjee, Mourad Sini
Publikováno v:
Multiscale Modeling & Simulation. 21:542-597
We analyze the mathematical model that describes the heat generated by electromagnetic nanoparticles. We use the known optical properties of the nanoparticles to control the support and amount of the heat needed around a nanoparticle. Precisely, we s
Autor:
Mourad Sini, Haibing Wang
Publikováno v:
SIAM Journal on Mathematical Analysis. 54:5160-5181
The inverse problem of reconstructing a source term from boundary measurements, for the wave equation, is revisited. We propose a novel approach to recover the unknown source through measuring the wave fields after injecting small particles, enjoying
Autor:
MOURAD SINI, DURGA PRASAD CHALLA
Publikováno v:
Multiscale Modeling & Simulation. 20:882-892
Autor:
Ahcene Ghandriche, Mourad Sini
Publikováno v:
Notices of the International Consortium of Chinese Mathematicians. 10:28-43
Autor:
Mourad Sini, Ali Bouzekri
Publikováno v:
Annales Henri Poincaré. 22:1979-2028
The point-interaction approximation (or the Foldy–Lax approximation) of the electromagnetic fields generated by a cluster of small-scaled inhomogeneities is derived in the mesoscale (i.e., mesoscopic scale) regime, that is, when the minimum distanc
Publikováno v:
Asymptotic Analysis. 118:235-268
Publikováno v:
Multiscale Modeling & Simulation. 18:240-293
We deal with the point-interaction approximations for the acoustic wave fields generated by a cluster of highly contrasted bubbles for a wide range of densities and bulk moduli contrasts. We derive the equivalent fields when the cluster of bubbles is
Publikováno v:
Mathematical Methods in the Applied Sciences
Mathematical Methods in the Applied Sciences, Wiley, 2019, 42 (18), pp.6567-6579. ⟨10.1002/mma.5760⟩
Mathematical Methods in the Applied Sciences, Wiley, 2019, 42 (18), pp.6567-6579. ⟨10.1002/mma.5760⟩
International audience; This paper aims at understanding the nature of the subwavelength resonant frequencies of dielectric particles with high refractive indices. It is proved that for an arbitrary shaped particle, these subwavelength resonant frequ
Publikováno v:
Mathematical Methods in the Applied Sciences. 42:3568-3578