Published January 1, 2000
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Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems
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Description
We study the convergence rates of solutions to drift-diffusion systems (arising from plasma, semiconductors and electrolytes theories) to their self-similar or steady states. This analysis involves entropy- type Lyapunov functionals and logarithmic Sobolev inequalities.