Long Time Behavior of Solutions to Nernst–Planck and Debye–Hückel Drift–Diffusion Systems
نویسندگان
چکیده
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.
منابع مشابه
Institute for Mathematical Physics Long Time Behavior of Solutions to Nernst{planck and Debye{h Uckel Drift{diiusion Systems Long Time Behavior of Solutions to Nernst-planck and Debye-h Uckel Drift-diiusion Systems
We study the convergence rates of solutions to drift-diiusion 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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We study the convergence rates of solutions to drift-diiusion 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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تاریخ انتشار 1999