Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors

Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors

Year:    1999

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 4 : pp. 369–383

Abstract

In this paper we are concerned with the global existence of weak solutions of the Cauchy problem for a simplified one-dimensional hydrodynamic model for semiconductors. Convergence of approximate solutions derived by the fractional step Lax-Friedrichs scheme is established by using the compensated compactness method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1999-JPDE-5549

Journal of Partial Differential Equations, Vol. 12 (1999), Iss. 4 : pp. 369–383

Published online:    1999-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Hydrodynamic model