A Quasi-Neutral Limit in a Hydrodynamic Model for Charged Fluids |
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Authors: | Ingenuin Gasser Pierangelo Marcati |
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Affiliation: | 1.Universit?t Hamburg, Germany,DE;2.Universitá degli Studi dell’Aquila, Italy,IT |
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Abstract: | The combined quasineutral and relaxation time limit for a bipolar hydrodynamic model is considered. The resulting limit problem is a nonlinear diffusion equation describing a neutral fluid. We make use of various entropy functions and the related entropy productions in order to obtain strong enough uniform bounds. The necessary strong convergence of the densities is obtained by using a generalized version of the “div-curl” Lemma and monotonicity methods. Received September 27, 2001; in revised form February 25, 2002 |
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Keywords: | 2000 Mathematics Subject Classification: 35Q35 76W05 |
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