Steady-state solutions of a one-dimensional hydrodynamic model for semiconductors

Journal of Differential Equations

Volumn 133, Issue 2, 1997, Pages 224-244

  Fang, Weifu ^a   Ito, Kazufumi ^b  

^a WEST VIRGINIA UNIVERSITY   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031579125     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.3203     Document Type: Article

References (15)

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3. 3. P. Degond and P. A. Markowich, On a one-dimensional steady-state hydrodynamic model for semiconductors, Appl. Math. Letters 3(3) (1990), 25-29.
4. 4. W. Fang and K. Ito, One-dimensional hydrodynamic model for semiconductors by viscosity method, in "Differential Equations and Applications to Biology and to Industry" (M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, and H. Thieme, Eds.), pp. 91-99, World Scientific, Singapore, 1996.
5. 5. W. Fang and K. Ito, Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors, Nonlinear Anal., to appear.
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11. 11. P. A. Markowich, C. A. Ringhofer, and C. Schmeiser, "Semiconductor Equations," Springer-Verlag, Wien/New York, 1990.
12. 12. M. Rudan and F. Odeh, Multi-dimensional discritization scheme for the hydrodynamic model of semiconductor devices, COMPEL 5 (1986), 149-183.
13. 13. G. M. Troianiello, "Elliptic Differential Equations and Obstacle Problems," Plenum, New York, 1987.
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15. 15. B. Zhang, Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices, Comm. Math. Phys. 157 (1993), 1-22.