Stability and instability of steady-state solutions for a hydrodynamic model of semiconductors

Royal Society of Edinburgh - Proceedings A

Volumn 127, Issue 4, 1997, Pages 781-796

  Hattori, Harumi ^a  

^a WEST VIRGINIA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744454096     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500023829     Document Type: Article

References (10)

1. P. Degond and P. A. Markovich. On a one-dimensional steady-state hydrodynamic model for semiconductors. Appl. Math. Letters 3 (1990), 25-9.
2. P. Degond and P. A. Markovich. A steady-state potential flow model for semiconductors. Ann. Mat. pura appl. (IV) (1993), 87-98.
3. W. Fang and K. Ito. One-dimensional hydrodynamic model for semiconductors by viscosity method. In Proceedings of the International Conference on Differential Equations, Claremont, CA, June 1994.
4. I. M. Gamba. Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductor. Comm. Partial Differential Equations 17 (1992), 553-77.
5. J. Goodman. Nonlinear asymptotic stability of viscous shock profiles for conservation laws. Arch. Rational Mech. Anal. 95 (1986), 325-44.
6. L. Hsiao and T. P. Liu. Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping. Comm. Math. Phys. 143 (1992), 599-605.
7. S. Kawashima and A. Matsumura. Asymptotic stability of traveling wave solution of systems for one-dimensional gas motion. Comm. Math. Phys. 101 (1985), 97-127.
8. T. P. Liu. Nonlinear stability of shock waves for viscous conservation laws. Mem. Amer. Soc. 328 (1985).
9. T. P. Liu. Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108 (1987), 153-75.
10. A. Matsumura and T. Nishida. The initial value problem for the equation of motion of viscous and heat-conductive gases. J. Math. Kyoto Univ. 20(1) (1980), 67-104.