Abstract:In this paper, we are concerned with the global existence, large time behavior, and timeincreasing-rate of entropy solutions to the one-dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-Poisson equations. When the adiabatic index γ > 2, the L ∞ estimates of artificial viscosity approximate solutions are obtained by using entropy inequality and maximum principle. Then the L ∞ compensated compactness framework demonstrates the convergence of approximate solutions. Finally, the globa… Show more
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