most citedThe small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation

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math.AP2012★ 7 cited

The small Deborah number limit of the Doi-Onsager equation to the Ericksen-Leslie equation

Wei Wang, Pingwen Zhang, Zhifei Zhang

We present a rigorous derivation of the Ericksen-Leslie equation starting from the Doi-Onsager equation. As in the fluid dynamic limit of the Boltzmann equation, we first make the…