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Springer (part of Springer Nature), Annales Henri Poincaré, 3(1), p. 461-472

DOI: 10.1007/s000230050003

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Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems

Journal article published in 2000 by Piotr Biler, Jean Dolbeault ORCID
This paper is available in a repository.
This paper is available in a repository.

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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 entropytype Lyapunov functionals and logarithmic Sobolev inequalities.