Abstract
We investigate the relaxation problem for the hydrodynamic isentropic Euler-Poisson system when the momentum relaxation time tends to zero. Very sharp estimates on the solutions, independent of the relaxation time, are obtained and used to establish compactness.
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Marcati, P., Natalini, R. Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation. Arch. Rational Mech. Anal. 129, 129–145 (1995). https://doi.org/10.1007/BF00379918
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DOI: https://doi.org/10.1007/BF00379918