Abstract
Convergence of approximate solutions derived by the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices is established by using the compensated compactness method. A global existence theorem is shown; and a numerical method for the computation of the physical global solution of this model is provided by this approach.
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Communicated by J.L. Lebowitz
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Zhang, B. Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices. Commun.Math. Phys. 157, 1–22 (1993). https://doi.org/10.1007/BF02098016
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DOI: https://doi.org/10.1007/BF02098016