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Abstract:

The existence of weak solutions locally in time to the quantum hydrodynamic equations in bounded domains is shown. These Madelung-type equations consist of the Euler equations, including the quantum Bohm potential term, for the particle density and the particle current density and are coupled to the Poisson equation for the electrostatic potential. This model has been used in the modeling of quantum semiconductors and superfluids. The proof of the existence result is based on a formulation of the problem as a nonlinear Schrödinger-Poisson system and uses semigroup theory and fixed-point techniques.

Registro:

Documento: Artículo
Título:Local existence of solutions to the transient quantum hydrodynamic equations
Autor:Jüngel, A.; Mariani, M.C.; Rial, D.
Filiación:Fachbereich Mathematik und Statistik, Universität Konstanz, Fach D193, 78457 Konstanz, Germany
Departamento de Matemática, FCEyN, Ciudad Universitaria, Nuñez-Pab I, 1428 Buenos Aires, Argentina
Año:2002
Volumen:12
Número:4
Página de inicio:485
Página de fin:495
DOI: http://dx.doi.org/10.1142/S0218202502001751
Título revista:Mathematical Models and Methods in Applied Sciences
Título revista abreviado:Math. Models Methods Appl. Sci.
ISSN:02182025
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02182025_v12_n4_p485_Jungel

Referencias:

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Citas:

---------- APA ----------
Jüngel, A., Mariani, M.C. & Rial, D. (2002) . Local existence of solutions to the transient quantum hydrodynamic equations. Mathematical Models and Methods in Applied Sciences, 12(4), 485-495.
http://dx.doi.org/10.1142/S0218202502001751
---------- CHICAGO ----------
Jüngel, A., Mariani, M.C., Rial, D. "Local existence of solutions to the transient quantum hydrodynamic equations" . Mathematical Models and Methods in Applied Sciences 12, no. 4 (2002) : 485-495.
http://dx.doi.org/10.1142/S0218202502001751
---------- MLA ----------
Jüngel, A., Mariani, M.C., Rial, D. "Local existence of solutions to the transient quantum hydrodynamic equations" . Mathematical Models and Methods in Applied Sciences, vol. 12, no. 4, 2002, pp. 485-495.
http://dx.doi.org/10.1142/S0218202502001751
---------- VANCOUVER ----------
Jüngel, A., Mariani, M.C., Rial, D. Local existence of solutions to the transient quantum hydrodynamic equations. Math. Models Methods Appl. Sci. 2002;12(4):485-495.
http://dx.doi.org/10.1142/S0218202502001751