Abstract.
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.
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Submitted 19/03/99, accepted 07/09/99
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Biler, P., Dolbeault, J. Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems. Ann. Henri Poincaré 1, 461–472 (2000). https://doi.org/10.1007/s000230050003
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DOI: https://doi.org/10.1007/s000230050003