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