``The Quantum Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner, SIAM Journal on Applied Mathematics 54 (1994) 409-427. PDF

``Quantum Hydrodynamic Simulation of Hysteresis in the Resonant Tunneling Diode,'' Z. Chen, B. Cockburn, C. L. Gardner, and J. W. Jerome, Journal of Computational Physics 117 (1995) 274-280. PDF

``Smooth Quantum Potential for the Hydrodynamic Model,'' C. L. Gardner and C. Ringhofer, Physical Review E 53 (1996) 157-167. PDF

``Resonant Tunneling in the Smooth Quantum Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner and C. Ringhofer, Transport Theory and Statistical Physics 29 (2000) 563-570. PDF

``The Chapman-Enskog Expansion and the Quantum Hydrodynamic Model for Semiconductor Devices,'' C. L. Gardner and C. Ringhofer, VLSI Design 10 (2000) 415-435. PDF

``Dispersive/Hyperbolic Hydrodynamic Models for Quantum Transport (in Semiconductor Devices),'' C. L. Gardner and C. Ringhofer, in Dispersive Transport Equations and Multiscale Models, IMA Volumes in Mathematics and its Applications, Volume 136, pp. 91-106. New York: Springer-Verlag, 2004. PDF

``Smooth Quantum Hydrodynamic Model vs. NEMO Simulation of Resonant Tunneling Diodes,'' C. L. Gardner, G. Klimeck, and C. Ringhofer, Journal of Computational Electronics 3 (2004) 95-102. PDF