m) Macroscopic Quantum Models and (Semiconductor) Simulations



331 N. Ben Abdallah, P. Degond, P.A. Markowich: "The Quantum Child Langmuir Problem",
Nonlinear Analysis, Theory, Methods, and Applications 31, 629-648, 1998.
ps (0.3 MB)
zip (0.1 MB)
83 S. Bertoluzza, P. Pietra: "Space-Frequency Adaptive Approximation for Quantum Hydrodynamic Models",
to appear in Trans. Theo. Stat. Phys., 1999.
ps (0.3 MB)
zip (0.1 MB)
73 L.L. Bonilla, V.A. Kochelap, C.A. Velasco: "Pattern Formation under Bistable Electro-Optical Absorption in Quantum Wells - Part I",
submitted to J. Phys.: Condens. Matter, 1999.
ps (n/a)
zip (0.3 MB)
74 L.L. Bonilla, V.A. Kochelap, C.A. Velasco: "Pattern Formation under Bistable Electro-Optical Absorption in Quantum Wells - Part II",
submitted to J. Phys.: Condens. Matter, 1999.
ps (n/a)
zip (0.4 MB)
292 J.A. Carrillo, A. Jüngel, S. Tang: "Positive Entropic Schemes for a Nonlinear Fourth-order Parabolic Equation",
submitted to Europ. J. Appl. Math., 2001.
ps (3.6 MB)
zip (0.6 MB)
336 P. Degond, A. El Ayyadi: "A coupled Schrödinger Drift-Diffusion model for quantum semiconductor device simulations",
submitted, 2002.
ps (0.7 MB)
zip (0.2 MB)
146 P. Degond, K. Zhang: "Diffusion approximation of a scattering matrix model of semiconductor superlattices",
2000.
ps (0.3 MB)
zip (0.1 MB)
190 I. Gamba, A. Jüngel: "Asymptotic limits for quantum trajectory models",
to appear in Commun. P. D. E., 2001.
ps (0.3 MB)
zip (0.1 MB)
28 I. Gamba, A. Jüngel: "Positive Solutions to Singular Second and Third Order Differential Equations for Quantum Fluids",
Arch. Rat. Mech. Anal., 156, 183-203, 2001.
ps (0.2 MB)
zip (0.1 MB)
274 I. Gasser: "A Note on Traveling Wave Solutions for a Quantum Hydrodynamic Model",
Appl. Math. Lett., Vol. 14(3), 279-283, 2001.
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157 I. Gasser: "Traveling Wave Solutions for a Quantum Hydrodynamic Model",
Hamburger Beiträge zur Angew. Math., Reihe A, preprint 146 (1999),
to appear in Appl. Math. Lett., 2000.
ps (0.1 MB)
zip (60 KB)
128 A. Jüngel: "Macroscopic Models for Semiconductor Devices: A Review",
2000.
ps (0.3 MB)
zip (0.1 MB)
168 A. Jüngel: "Quasi-hydrodynamic semiconductor equations.",
Progress in Nonlinear Differential Equations, Birkhäuser, 2001.
book n/a
for download
327 A. Jüngel, H. Li: "Quantum Euler-Poisson Systems: Existence of Stationary States",
submitted to Proc. Math. Soc. Edinburgh, 2001.
ps (0.3 MB)
zip (0.1 MB)
278 A. Jüngel, M.C. Mariani, D. Rial: "Local Existence of Solutions to the Transient Quantum Hydrodynamic Equations",
to appear in Math. Models Meth. Appl. Sci., 2001.
ps (0.2 MB)
zip (0.1 MB)
129 A. Jüngel, R. Pinnau: "A Positivity-preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System",
SIAM J. Num. Anal., 39, 385-406, 2001.
ps (1.7 MB)
zip (0.3 MB)
241 A. Jüngel, R. Pinnau: "Convergent Semidiscretization of a Nonlinear Fourth Order Parabolic System",
submitted, 2001.
ps (0.2 MB)
zip (0.1 MB)
105 A. Jüngel, R. Pinnau: "Global Non-Negative Solutions of a Nonlinear Fourth-Order Parabolic Equation for Quantum Systems",
SIAM J. Math. Anal., 32, 760-777, 2000.
ps (0.3 MB)
zip (0.1 MB)
189 A. Jüngel, G. Toscani: "Exponential time decay of solutions to a nonlinear fourth-order parabolic equation",
to appear in Z. Angew. Math. Phys., 2001.
ps (0.2 MB)
zip (0.1 MB)
348 A. Jüngel, S. Wang: "Convergence of Nonlinear Schrödinger-Poisson Systems to the Compressible Euler equations",
submitted, 2002.
ps (0.2 MB)
zip (0.1 MB)
77 K.J. Luo, H.T. Grahn, K. Ploog, L.L. Bonilla: "Explosive bifurcation to chaos in weakly-coupled semiconductor superlattices" ,
Phys. Rev. Lett. 81, 1290-1293, 1998.
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201 R. Pinnau: "Numerical Approximation of the Transient Quantum Drift Diffusion Model",
to appear, 2001.
ps (1.8 MB)
zip (0.3 MB)
24 R. Pinnau, A. Unterreiter: "The Stationary Current-Voltage Characteristics of the Quantum Drift Diffusion Model",
to appear in SIAM Journal on Numerical Analysis, 1999.
ps (0.9 MB)
zip (0.2 MB)
149 E. Polizzi, N. Ben Abdallah: "Space lateral transfer and negative differential conductance regimes in quantum waveguide junctions",
2000.
ps (n/a)
zip (1.7 MB)
70 D. Sanchez, M. Moscoso, L. L. Bonilla, G. Platero, R. Aguado: "Current self-oscillations, spikes and crossover between charge monopole and dipole waves in semiconductor superlattices",
submitted, 1999.
ps (0.4 MB)
zip (0.1 MB)
23 A. Unterreiter: "The Quantum Zero Space Charge Model for Semiconductors",
to appear in European Journal of Applied Mathematics
ps (0.7 MB)
zip (0.1 MB)