An existence result for a strongly coupled parabolic system arising in nonequilibrium thermodynamics;Un résultat d'existence pour un système parabolique fortement couplé en thermodynamique hors équilibre

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 2, 1997, Pages 227-232

  Degond, Pierre ^a   Génieys, Stéphane ^a   Jüngel, Ansgar ^b  

^a CNRS   (France)

^b UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031185320     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)84605-8     Document Type: Article

References (10)

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2. [2] Ben Abdallah N., Degond P. and Génieys S., 1996. An energy-transport model for semiconductors derived from the Boltzmann equation, J. Stat. phys., 84, pp. 205-231.
3. [3] Albinus G., 1995. A thermodynamically motivated formulation of the energy model of semiconductor devices. Preprint No. 210, Weierstrass-Institut, Berlin.
4. [4] Alt H. and Luckhaus S., 1983. Quasilinear elliptic-parabolic differential equations. Math. Z, 183, pp. 311-341.
5. [5] Degond P., Génieys S. and Jüngel A., 1996. A steady-stata system in nonequilibrium thermodynamics including thermal and electrical effects. Submitted to Math. Meth. Appl. Sci.
6. [6] Degond P., Génieys S. and Jüngel A., 1997. A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects. Submitted for publication.
7. [7] De Groot S. R. and Mazur P., 1984. Non-equilibrium thermodynamics. Dover, New York.
8. [8] Kreuzer H., 1981. Nonequilibrium Thermodynamics and its Statistical Foundation. Clarendon Press, Oxford.
9. [9] Markowich P. A., Ringhofer C. A. and Schmeiser C., 1990. Semiconductor Equations. Springer.
10. [10] Troianiello G. M., 1987. Elliptic Differential Equations and Obstacle Problems. Plenum Press, New York.