A Semiclassical Coupled Model for the Transient Simulation of Semiconductor Devices

Autor: Philippe Bechouche, Laurent Gosse

Publikováno v: SIAM Journal on Scientific Computing. 29:376-396

We consider the approximation of a microelectronic device corresponding to an $n^+-n-n^+$ diode consisting of a channel flanked on both sides by two highly doped regions. This is modeled through a system of equations: ballistic for the channel and dr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::62b3f5a14ef135a24f85db7371f00d20
https://doi.org/10.1137/060655262

ON THE ASYMPTOTIC ANALYSIS OF THE DIRAC–MAXWELL SYSTEM IN THE NONRELATIVISTIC LIMIT

Autor: Philippe Bechouche, Sigmund Selberg, Norbert J. Mauser

Publikováno v: Journal of Hyperbolic Differential Equations. :129-182

We study the behavior of solutions of the Dirac–Maxwell system (DM) in the nonrelativistic limit c → ∞, where c is the speed of light. DM is a nonlinear system of PDEs obtained by coupling the Dirac equation for a 4-spinor to the Maxwell equati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::adddf96d44d01f28dc5a0ee0af9c7651
https://doi.org/10.1142/s0219891605000415

Inviscid Limits¶of the Complex Ginzburg–Landau Equation

Autor: Ansgar Jüngel, Philippe Bechouche

Publikováno v: Communications in Mathematical Physics. 214:201-226

In the inviscid limit the generalized complex Ginzburg–Landau equation reduces to the nonlinear Schrodinger equation. This limit is proved rigorously with H1 data in the whole space for the Cauchy problem and in the torus with periodic boundary con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c4677f6452399a9ea1bdcb4f8ad88989
https://doi.org/10.1007/s002200000263

Semi-classical Limit in a Semiconductor Superlattice

Autor: Philippe Bechouche

Publikováno v: VLSI Design, Vol 9, Iss 4, Pp 315-323 (1999)

In this paper, we perform a mathematical study of a semiconductor superlattice. Since the thickness of the layers is very small, quantization plays an important role. The modelling is therefore given by a Schrödinger equation with a periodic potenti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44db2cb8afeb2c9ec11bbec43ebd1521
https://doaj.org/article/6278a400027449fe981464fcfa287599

Analysis of a semi-Lagrangian method for the spherically symmetric Vlasov-Einstein system

Autor: Nicolas Besse, Philippe Bechouche

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2010, 44 (3), pp.573-595. ⟨10.1051/m2an/2010012⟩
ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (3), pp.573-595. ⟨10.1051/m2an/2010012⟩

International audience; We consider the spherically symmetric Vlasov-Einstein system in the case of asymptotically flat spacetimes. From the physical point of view this system of equations can model the formation of a spherical black hole by gravitat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f541be5eecfeb56e5b2259010874d9c8
https://hal.archives-ouvertes.fr/hal-00594876