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Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems

Biler, Piotr; Dolbeault, Jean (2000), Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems, Annales Henri Poincaré, 1, 3, p. 461-472. http://dx.doi.org/10.1007/s000230050003

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Type
Article accepté pour publication ou publié
Date
2000
Journal name
Annales Henri Poincaré
Volume
1
Number
3
Publisher
Springer
Pages
461-472
Publication identifier
Metadata
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Author(s)
Biler, Piotr
Dolbeault, Jean cc
Abstract (EN)
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.
Subjects / Keywords
drift-diffusion systems; asymptotic behavior of solutions; logarithmic Sobolev inequalities