Biblioteca de la Universidad Complutense de Madrid

Space localization and uniqueness of solutions of a quasilinear parabolic system arising in semiconductor theory

Impacto

Díaz Díaz, Jesús Ildefonso y Galiano, Gonzalo y Jungel, Ansgar (1997) Space localization and uniqueness of solutions of a quasilinear parabolic system arising in semiconductor theory. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 325 (3). pp. 267-272. ISSN 0764-4442

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0764444297839535




Resumen

A degenerate parabolic system consisting in two continuity equations for densities of charged particles and in the Poisson equation for an electric potential is considered. We show the finite speed of propagation, a waiting time property for the vacuum (null) sets and a property of formation of vacuum. The proofs are based on energy methods. Furthermore, some results on the uniqueness of solutions are proved by using different duality methods.


Tipo de documento:Artículo
Palabras clave:drift-diffusion model; two continuity equations; Poisson equation; formation of vacuum; energy methods
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:15810
Referencias:

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S. Antontsev, J.I. Díaz, S. Shmarev. The support shrinking in solutions of parabolic equations with nonhomogeneous absorption terms Ann. Fac. Sci. Toulouse, 4 (1995), pp. 5–30

J.I. Diaz, R. Kersner. On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium. J. Differ. Equations, 69 (1987), pp. 368–403

G. Galiano. Sobre algunos problemas de la Mecánica de Medios Continuos en los que se originan fronteras libres.

Tests DoctoralUniversidad Complutense de Madrid, New York (1997)

A. Jüngel. A nonlinear drift-diffusion system with electric convection arising in semiconductor and electrophoretic modeling, to appear in Math. Nachr. (1997)

A. Jüngel. Asymptotic analysis of a semiconductor model based on Fermi-Dirac statistics. Math. Meth. Appl. Sci., 19 (1996), pp. 401–424

J. Rulla. Weak solutions to Stefan problems with prescribed convection. SIAM J. Math. Anal., 18 (1987), pp. 1784–1800

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Última Modificación:06 Feb 2014 10:32

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