Global Weak Solutions of the Cauchy Problem to a Hydrodynamic Model for Semiconductors |
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Authors: | Kaijun Zhang |
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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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Keywords: | Hydrodynamic model Lax-Friedrichs scheme compensated compactness |
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