A note on boundary conditions for quantum hydrodynamic equations

Applied Mathematics Letters

Volumn 12, Issue 5, 1999, Pages 77-82

  Pinnau, R ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

Boundary conditions for quantum models; Quantum hydrodynamics; Quantum limit; Thermal equilibrium

Indexed keywords

EID: 0002645796     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(99)00060-9     Document Type: Article

References (7)

1. C.L. Gardner, The quantum hydrodynamic model for semiconductor devices, SIAM J. Appl. Math. 54 (2), 409-427 (April 1994).
2. I. Gasser and P.A. Markowich, Quantum hydrodynamics, Wigner transform and the classical limit, Asymptotic Anal. 14 (2), 97-116 (1997).
3. A. Jüngel, A note on current-voltage characteristics from the quantum hydrodynamic equations for semi-conductors, Appl. Math. Lett. 10 (4), 29-34 (1997).
4. A. Unterreiter, The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model, Commun. Math. Phys. 188, 69-88 (1997).
5. P.A. Markowich, The Stationary Semiconductor Device Equations, First edition, Springer-Verlag, Wien, (1986).
6. R. Pinnau and A. Unterreiter, The stationary current-voltage characteristics of the quantum drift diffusion model (submitted).
7. R. Pinnau, The Quantum Drift Diffusion Model, Ph.D. Thesis, University of Kaiserslautern (to appear).