Nonlinear stability of smooth solutions of the energy-transport model for semiconductors

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 85, Issue 4, 2005, Pages 267-276

  Alì, Giuseppe ^a   Torcicollo, Isabella ^a  

^a CNR   (Italy)

Author keywords

Energy estimates; Energy transport model; Semiconductors; Stability

Indexed keywords

EID: 17344362238     PISSN: 00442267     EISSN: None     Source Type: Journal    
DOI: 10.1002/zamm.200210179     Document Type: Article

References (23)

1. G. Alì, Asymptotic Fluiddynamic Models for Semiconductors, Quaderno IAC n. 25, Roma, 1995. Preprint of the CNR Institute: Instituto per la Applicazioni del Calcolo (IAC).
2. G. Alì, D. Bini, and S. Rionero, SIAM J. Math. Anal. 32(3), 572-587 (2000).
3. G. Albinus, A thermodynamically motivated Formulation of the Energy Model of Semiconductor Devices, Preprint Nr.210, Weierstrass-Institut, Berlin (1995).
4. G. Alì, P. Marcati, and R. Natalini, Z. Angew. Math. Mech. 76, Supp. 2, 301-304 (1996).
5. A.M. Anile, An extended thermodynamic framework for the hydrodynamical modeling of semiconductors, in: Mathematical Problems in Semiconductors Physics, Vol. 340 of Pitman Research Notes in Mathematics, edited by P. Marcati, P.A. Markowich, and R. Natalini (Longman, Harlow, 1995), pp. 3-41.
6. A.M. Anile and V. Romano, Meccanica (Italy) 35, 249-296 (2000).
7. N. BenAbdallah, and P. Degond, J. Math. Phys. 37, 3306-3333 (1996).
8. N. BenAbdallah, P. Degond, and S. Genieys, J. Stat. Phys. 84, 205-231 (1996).
9. N. BenAbdallah, L. Desvillettes, and S. Genieys, J. Stat. Phys. 98, 835-870 (2000).
10. K. Bløtekjær, IEEE Trans. Electron. Devices ED-17, 38-47 (1970).
11. G. Baccarani and M.R. Wordeman, Solid State Electron. 28, 407-416 (1985).
12. G.Q. Chen, J.W. Jerome, and B. Zhang, Existence and the singular relaxation limit for the inviscid hydrodynamic energy model, in: Modelling and Computation for Applications in Mathematics, Science, and Engineering, edited by J.W. Jerome (Oxford Univ. Press, New York, 1998), pp. 189-215.
13. P. Degond, Mathematical modelling of microelectronics semiconductor devices, in: Some Current Topics on Nonlinear Conservation Laws: Lectures at the Morningside Center of Mathematics, 1, edited by Ling Hsiao and Zhouping Xin, Series: AMS/IP Studies in Advanced Mathematics, vol. 15 (Springer, 2000), pp. 77-109.
14. P. Degond, S. Genieys, and A. Jüngel, J. Math. Pure. Appl. 76, 991-1015 (1997).
15. S. DeGroot, Thermodynamik irreversibler Prozesse (Bibliographisches Institut, Mannheim, 1960).
16. I. Gasser and R. Natalini, Q. Appl. Math. 57(2), 269-282 (1999).
17. W. Hänsch and M. Miura-Mattausch, J. Appl. Phys. 80, 650-656 (1986).
18. W. Hänsch and C. Schmeiser, Z. Angew. Math. Phys. 40, 440-455 (1989).
19. H. Kreuzer, Nonequilibrium Thermodynamics and Its Statistical Foundation (Clarendon Press, Oxford, 1981).
20. T. Luo, R. Natalini, and Z. Xin, SIAM J. Appl. Math. 59(3), 810-830 (1998).
21. P.A. Markowich, C.A. Ringhofer, and C. Schmeiser, Semiconductor Equations (Springer, Wien, New York, 1990).
22. W.V. van Roosbroeck, Bell Syst. Tech. J. 29, 560-607 (1950).
23. R. Stratton, Phys. Rev. 126, 2002-2014 (1962).